Updated on 2024/07/28

Information

 

写真a

 
KAJIWARA KENJI
 
Organization
Institute of Mathematics for Industry Division of Applied Mathematics Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation （Joint Appointment）
Title
Professor
Contact information
メールアドレス
Profile
I have been engaged in research and related educational activities in the area of the theory of nonlinear integrable systemｓ and discrete differential geometry. As for social activities, I gave a lecture at the public lectures organized by graduate school of mathematics in 2002. I also wrote articles in mathematical magazines such as "Suugaku Seminar" and in some computer magazines.
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Degree

  • Ph.D(engineering)

Research History

  • 同志社大学工学部 1994年4月〜2001年9月

Research Interests・Research Keywords

  • Research theme：Evolving Design and Discrete Differential Geometry - towards Mathematics Aided Geometric Design

    Keyword：Geometric shape generation, discrete differential geometry, integrable systems, surfaces, curves, architecture, industrial design, computational geometry, origami

    Research period： 2019.10 - 2025.3

  • Research theme：Development of discrete differential geometry by means of discrete integrable systems

    Keyword：integrable systems, discrete systems, soliton equations, discrete differential geometry

    Research period： 2008.4

  • Research theme：Ultradiscretization of solvable chaotic systems and tropical geometry

    Keyword：solvable chaotic systems, ultradiscretization, tropical geometry

    Research period： 2007.12 - 2011.3

  • Research theme：Study of the Painlev\'e systems

    Keyword：integrable systems, discrete systems, Painlev\'e systems, special functions

    Research period： 1993.4

Awards

  • 日本応用数理学会フェロー

    2023.6   日本応用数理学会   応用数理の学術・実践における卓越 した業績により学会への貢献が顕著であることに敬意を表する．

  • Journal of Physics A Journal of Physics A Highlights of 2017 collection

    2018.2   Institute of Physics   Journal of Physics A Journal of Physics A Highlights of 2017 collection

Papers

  • Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables Invited Reviewed International journal

    @Nalini Joshi, Kenji Kajiwara, @Tetsu Masuda, @Nobutaka Nakazono

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   54 ( 33 )   2021.8

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

    DOI： 10.1088/1751-8121/ac11bd

  • Discrete local induction equation Reviewed International journal

    @Sampei Hirose, @Jun-ichi Inoguchi, @Kenji Kajiwara, @Nozomu Matsuura, @Yasuhiro Ohta

    Journal of Integrable Systems   4 ( 1 )   2019.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1093/integr/xyz003

    Other Link： https://academic.oup.com/integrablesystems/article/4/1/xyz003/5513102?searchresult=1

  • Log-aesthetic curves as similarity geometric analogue of Euler's elasticae Reviewed

    Jun ichi Inoguchi, Kenji Kajiwara, Kenjiro T. Miura, Masayuki Sato, Wolfgang K. Schief, Yasuhiro Shimizu

    Computer Aided Geometric Design   61   1 - 5   2018.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/j.cagd.2018.02.002

  • Geometric aspects of Painlevé equations Reviewed International journal

    50 ( 7 )   2017.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    In this paper a comprehensive review is given on the current status of achievements in the geometric aspects of the Painlev equations, with a particular emphasis on the discrete Painlev� equations. The theory is controlled by the geometry of certain rational surfaces called the spaces of initial values, which are characterized by eight point configuration on P1xP1. We give a systematic description of the equations and their various properties, such as affine Weyl group symmetries, hypergeometric solutions and Lax pairs under this framework, by using the language of Picard lattice and root systems. We also provide with a collection of basic data; equations, point configurations/root data, Weyl group representations, Lax pairs, and hypergeometric solutions of all possible cases.

    DOI： 10.1088/1751-8121/50/7/073001

  • An explicit formula for the discrete power function associated with circle patterns of Schramm type Reviewed International journal

    Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda

    Funkcialaj Ekvacioj   57 ( 2014 )   1 - 41   2014.4

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • Motion and Bäcklund transformations of discrete plane curves Reviewed International journal

    66 ( 2 )   303 - 324   2012.10

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    Language：English   Publishing type：Research paper (scientific journal)  

    We construct explicit solutions to the discrete motion of discrete plane curves that has been introduced by one of the authors recently. Explicit formulas in terms of the τ function are presented. Transformation theory of the motions of both smooth and discrete curves is developed simultaneously.

    DOI： doi:10.2206/kyushujm.66.303

  • Bilinearization and special solutions to the discrete Schwarzian KdV equation Reviewed International journal

    Mike Hay, Kenji Kajiwara and Tetsu Masuda

    Journal of Math-for-Industry   3 ( 2011A )   2011.4

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Projective reduction of the discrete Painlevé system of type (A2+A1)(1) Reviewed International journal

    2010.5

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1093/imrn/rnq089

  • Ultradiscretization of a solvable two-dimensional chaotic map assciated with the Hesse cubic curve Reviewed International journal

    Kenji Kajiwara, Masanobu Kaneko, Atsushi Nobe and Teruhisa Tsuda

    Kyushu Journal of Mathematics   2009.9

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Ultradiscretization of solvable one-dimensional chaotic maps Reviewed International journal

    Kenji Kajiwara, Atsushi Nobe and Teruhisa Tsuda

    Journal of Physics A: Mathematical and Theoretical   2008.9

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Bilinearization and Casorati determinant solution to the non-autonomous discrete KdV equation Reviewed International journal

    Kenji Kajiwara and Yasuhiro Ohta

    Journal of the Physical Society of Japan   2008.5

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Point configurations, Cremona transformations and the elliptic difference Painleve equation Reviewed International journal

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    2007.8

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    Language：English   Publishing type：Research paper (international conference proceedings)  

  • Hypergeometric solutions to the q-Painleve equation of type $(A_1+A_1')^{(1)}$ Reviewed International journal

    Taro Hamamoto, Kenji Kajiwara and Nicholas S. Witte

    Interenational Mathematics Research Notices   2006.10

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Generating Function Associated with the Determinant Formula for the Solutions of the Painlev\'e II Equation Reviewed International journal

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    Ast\'erisque   ( 297 )   67 - 78   2005.6

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Cubic Pencils and Painlev\'e Hamiltonians Reviewed International journal

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    Funkcialaj Ekvacioj   2005.4

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Construction of Hypergeometric Solutions to the q-Painlev\'e Equations Reviewed International journal

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    International Mathematical Research Notices   ( 24 )   1439 - 1463   2005.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Hypergeometric solutions to the q-Painleve equations Reviewed International journal

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    International Mathematical Research Notices   ( 47 )   2497 - 2521   2004.8

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On a q-Painleve III equation.II: rational solutions Reviewed International journal

    Kenji Kajiwara

    Journal of Nonlinear Mathematical Physics   2003.8

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    Language：English   Publishing type：Research paper (scientific journal)  

  • 10E9 solution to elliptic Painleve equation Reviewed International journal

    K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada

    Journal of Physics A: Mathematica and General   2003.5

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On a $q$-Painlev\'e III Equation. I: Derivations, Symmetry and Riccati Type Soutions Reviewed International journal

    Kenji Kajiwara and Kinji Kimura

    Journal of Nonlinear Mathematical Physics   2003.2

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    Language：English   Publishing type：Research paper (scientific journal)  

  • q-Painlev\'e Systems Arising from q-KP Hierarchy Reviewed International journal

    Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada

    Letters in Mathematical Physics   62 ( 3 )   259 - 268   2002.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1023/A:1022216308475

  • Generating Function Associated with the Rational Solutions of the Painlev\'e II Equation International journal

    Katsunori Iwasaki, Kenji Kajiwara and Toshiya Nakamura

    Journal of Physics A: Mathematical and General   35 ( 16 )   L207 - L211   2002.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1088/0305-4470/35/16/101

  • A Study on the Fourth q-Painlev\'e Equation Reviewed International journal

    Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada

    Journal of Physics A: Mathematical and General   2001.10

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Determinant Formulas for the Toda and Discrete Toda Equations Reviewed International journal

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    Funkcialaj Ekvacioj   2001.8

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Determinant Structure of the Rational Solutions for the Painlev\'e IV Equation Reviewed International journal

    Kenji Kajiwara and Yasuhiro Ohta

    Journal of Physics A: Mathematical and General   1998.3

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Parametric generation of optimal structures through discrete exponential functions: unveiling connections between structural optimality and discrete isothermicity Invited Reviewed International journal

    @Kazuki Hayashi, @Yoshiki Jikumaru, @Yohei Yokosuka, @Kentaro Hayakawa, @Kenji Kajiwara

    Structural and Multidisciplinary Optimization   67   2024.2

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.1007/s00158-024-03767-1

    Repository Public URL： https://hdl.handle.net/2324/7173550

  • Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles Reviewed

    Jun-ichi Inoguchi, Yoshiki Jikumaru, Kenji Kajiwara, Kenjiro T. Miura, Wolfgang K. Schief

    Computer Aided Geometric Design   105   102233 - 102233   2023.7

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    Log-Aesthetic Curves: Similarity Geometry, Integrable Discretization and Variational Principles
    In this paper, we consider a class of plane curves called log-aesthetic curves and their generalization which are used in computer aided geometric design. We consider these curves in the framework of the similarity geometry and characterize them as invariant curves under the integrable flow on plane curves which is governed by the Burgers equation. We propose a variational principle for these curves, leading to the stationary Burgers equation as the Euler-Lagrange equation. As an application of the formulation developed here, we propose a discretization of these curves and the associated variational principle which preserves the underlying integrable structure. We finally present algorithms for the generation of discrete log-aesthetic curves for given G1 data based on the similarity geometry. Our method is able to generate S-shaped discrete curves with an inflection as well as C-shaped curves according to the boundary condition. The resulting discrete curves are regarded as self-adaptive discretization and thus high-quality even with a small number of points.

    DOI： 10.1016/j.cagd.2023.102233

    Repository Public URL： https://hdl.handle.net/2324/7178653

  • Fairing of planar curves to log-aesthetic curves Reviewed

    Japan Journal of Industrial and Applied Mathematics   2023.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s13160-023-00567-w

  • Fairing of discrete planar curves to integrable discrete analogue of Euler’s elasticae Reviewed

    Sebastián Elías Graiff Zurita, Kenji Kajiwara, Toshitomo Suzuki

    2023.3

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    We construct a method for fairing a given discrete planar curve by using the integrable discrete analog of Euler’s elastica, which is a discrete version of the approximation algorithm presented by Brander et al. We first give a brief review of the integrable discrete analog of Euler’s elastica proposed by Bobenko and Suris, then we present a detailed account of the fairing algorithm, and we apply this method to an architectural problem of characterizing the keylines of Japanese handmade pantiles.

    DOI： 10.1142/s2661335222500071

  • Fairing of planar curves to log-aesthetic curves Reviewed International journal

    #Sebastian Elias Graiff-Zurita, @Kenji Kajiwara, Kenjiro T. Miura

    Japan Journal of Industrial and Applied Mathematics   40   1203 - 1219   2023.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1142/S2661335222500071

    Repository Public URL： https://hdl.handle.net/2324/7178649

  • Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae Reviewed International journal

    #Sebastian Elias Graiff-Zurita, @Kenji Kajiwara and Toshitomo Suzuki

    International Journal of Mathematics for Industry   14 ( 1 )   2023.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1142/S2661335222500071

    Repository Public URL： https://hdl.handle.net/2324/7178645

  • Sine-Gordon方程式の解法とその離散化

    宇田川誠一，井ノ口順一，@梶原健司

    日本大学医学部 一般教育研究紀要   50   7 - 24   2022.12

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    Language：Japanese   Publishing type：Research paper (bulletin of university, research institution)  

  • Explicit formulas for isoperimetric deformations of smooth and discrete elasticae Reviewed

    Shota Shigetomi, Kenji Kajiwara

    JSIAM Letters   13   80 - 83   2021.12

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    Language：Others   Publishing type：Research paper (scientific journal)  

    DOI： 10.14495/jsiaml.13.80

  • Explicit formulas for isoperimetric deformations of smooth and discrete elasticae Reviewed International journal

    #Shota Shigetomi, Kenji Kajiwara

    JSIAM Letters   13   80 - 83   2021.12

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.14495/jsiaml.13.80

  • Discrete power functions on a hexagonal lattice I: Derivation of defining equations from the symmetry of the Garnier system in two variables Reviewed

    Nalini Joshi, Kenji Kajiwara, Tetsu Masuda, Nobutaka Nakazono

    Journal of Physics A: Mathematical and Theoretical   54 ( 33 )   335202 - 335202   2021.7

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1088/1751-8121/ac11bd

  • 𝜖𝜅 -Curves: controlled local curvature extrema Reviewed

    Miura, Kenjiro T, Gobithaasan, R. U, Salvi, Péter, Wang, Dan, Sekine, Tadatoshi, Usuki, Shin, Inoguchi, Jun-ichi, Kajiwara, Kenji

    38 ( 8 )   2723 - 2738   2021.5

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    The kappa-curve is a recently published interpolating spline which consists of quadratic Bezier segments passing through input points at the loci of local curvature extrema. We extend this representation to control the magnitudes of local maximum curvature in a new scheme called extended- or is an element of kappa-curves. kappa-curves have been implemented as the curvature tool in Adobe Illustrator (R) and Photoshop (R) and are highly valued by professional designers. However, because of the limited degrees of freedom of quadratic Bezier curves, it provides no control over the curvature distribution. We propose new methods that enable the modification of local curvature at the interpolation points by degree elevation of the Bernstein basis as well as application of generalized trigonometric basis functions. By using is an element of kappa-curves, designers acquire much more ability to produce a variety of expressions, as illustrated by our examples.

    DOI： 10.1007/s00371-021-02149-8

  • epsilon kappa-Curves: controlled local curvature extrema Invited Reviewed International journal

    VISUAL COMPUTER   2021.5

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s00371-021-02149-8

  • Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves Invited Reviewed International journal

    @Shizuo Kaji, #Hyeongki Park, @Kenji Kajiwara

    Nonlinear Systems and Their Remarkable Mathematical Structures Volume 2   356 - 381   2020.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Fairing of discrete planar curves by discrete Euler's elasticae Reviewed International journal

    JSIAM Letters   11   73 - 76   2019.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.14495/jsiaml.11.73

  • Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves Reviewed

    Shizuo Kaji, Kenji Kajiwara, Hyeongki Park

    Nonlinear Systems and Their Remarkable Mathematical Structures: Volume 2 (CRC Press,2019)   356 - 381   2019.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    Linkage Mechanisms Governed by Integrable Deformations of Discrete Space Curves
    A linkage mechanism consists of rigid bodies assembled by joints which can be used to translate and transfer motion from one form in one place to another. In this paper, we are particularly interested in a family of spacial linkage mechanisms which consist of n-copies of a rigid body joined together by hinges to form a ring. Each hinge joint has its own axis of revolution and rigid bodies joined to it can be freely rotated around the axis. The family includes the famous threefold symmetric Bricard6R linkage also known as the Kaleidocycle, which exhibits a characteristic "turning over" motion. We can model such a linkage as a discrete closed curve in ℝ3 with a constant torsion up to sign. Then, its motion is described as the deformation of the curve preserving torsion and arc length. We describe certain motions of this object that are governed by the semi-discrete mKdV equations, where infinitesimally the motion of each vertex is confined in the osculating plane.

  • Fairing of discrete planar curves by discrete Euler’s elasticae Reviewed

    Sebastián Elías, Graiff Zurita, Kenji Kajiwara

    11   73 - 76   2019.12

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    After characterizing the integrable discrete analogue of the Euler's elastica, we focus our attention on the problem of approximating a given discrete planar curve by an appropriate discrete Euler's elastica. We have decided to do the fairing process via a $L^2!$-distance minimization, because other approaches have presented numerical instabilities. The optimization problem was solved via a gradient-driven optimization method (IPOPT). This problem is non-convex and the result strongly depends on the initial guess. So, we have decided to use a discrete analogue of the algorithm provided by Brander et al., which gives an initial guess to the optimization method.

    DOI： 10.14495/jsiaml.11.73

  • Discrete Local Induction Equation Reviewed

    Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    Journal of Integrable Systems   4 ( 1 )   xyz003   2019.7

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    Discrete Local Induction Equation
    The local induction equation, or the binormal flow on space curves is a well-known model of<br />
    deformation of space curves as it describes the dynamics of vortex filaments, and the complex<br />
    curvature is governed by the nonlinear Schrödinger equation. In this paper, we present its<br />
    discrete analogue, namely, a model of deformation of discrete space curves by the discrete nonlinear Schrödinger equation. We also present explicit formulas for both smooth and discrete curves<br />
    in terms of τ functions of the two-component KP hierarchy.

    DOI： 10.1093/integr/xyz003

  • Isoperimetric deformations of curves on the Minkowski plane Reviewed

    Hyeongki Park, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Nozomu Matsuura, Yasuhiro Ohta

    Int. J. Geom. Methods Mod. Phys.   16 ( 7 )   1950100   2019.7

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    Isoperimetric deformations of curves on the Minkowski plane
    We formulate an isoperimetric deformation of curves on the Minkowski plane, which is governed by the defocusing mKdV equation. Two classes of exact solutions to the defocusing mKdV equation are also presented in terms of the τ functions. By using one of these classes, we construct an explicit formula for the corresponding motion of curves on the Minkowski plane even though those solutions have singular points. Another class give regular solutions to the defocusing mKdV equation. Some pictures illustrating typical dynamics of the curves are presented.

    DOI： 10.1142/S0219887819501007

  • Isoperimetric deformations of curves on the Minkowski plane Reviewed International journal

    #Hyeongki Park, @Jun-ichi Inoguchi, @Kenji Kajiwara, @Ken-ichi Maruno, @Nozomu Matsuura, @Yasuhiro Ohta

    International Journal of Geometric Methods in Modern Physics   16   2019.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1142/S0219887819501007

  • Defocusing mKdV flow on centroaffine plane curves Reviewed

    Hyeongki Park, Kenji Kajiwara, Takashi Kurose, Nozomu Matsuura

    JSIAM Letters   10   25 - 28   2018.7

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    Defocusing mKdV flow on centroaffine plane curves
    We show that plane curves in the centroaffine geometry admit a flow which is described by<br />
    the defocusing modified KdV equation. We establish a correspondence between this flow and<br />
    the KdV flow in the equicentroaffine geometry. We also present an explicit formula for the<br />
    KdV flow in terms of the τ function.

    DOI： 10.14495/jsiaml.10.25

  • Defocusing mKdV flow on centroaffine plane curves Reviewed International journal

    #Hyeongki Park,@ Kenji Kajiwara, @Takashi Kurose, @Nozomu Matsuura

    JSIAM Letters   10   25 - 28   2018.7

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.14495/jsiaml.10.25

  • Integrable Discrete Model for One-Dimensional Soil Water Infiltration Reviewed

    Dimetre Triadis, Philip Broadbridge, Kenji Kajiwara, Ken Ichi Maruno

    Studies in Applied Mathematics   140 ( 4 )   483 - 507   2018.5

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1111/sapm.12208

  • Integrable Discrete Model for One-Dimensional Soil Water Infiltration Reviewed

    Dimetre Triadis, Philip Broadbridge, Kenji Kajiwara, Ken-Ichi Maruno

    Studies in Applied Mathematics   140 ( 4 )   483 - 507   2018.5

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1111/sapm.12208

  • Fairness metric of plane curves defined with similarity geometry invariants Reviewed

    Kenjiro T. Miura, Sho Suzuki, R. U. Gobithaasan, Shin Usuki, Jun ichi Inoguchi, Masayuki Sato, Kenji Kajiwara, Yasuhiro Shimizu

    Computer-Aided Design and Applications   15 ( 2 )   256 - 263   2018.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1080/16864360.2017.1375677

  • 相似幾何における弾性曲線とその離散化・CAGDとの関連について Reviewed

    井ノ口 順一, 梶原 健司, 三浦 憲二郎, 朴 炯基, Schief Wolfgang

    非線形波動研究の新潮流 -理論とその応用-   61 - 68   2018.3

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    Language：Others  

  • Log-aesthetic curves as similarity geometric analogue of Euler's elasticae Reviewed

    Jun-ichi Inoguchi, Kenji Kajiwara, Kenjiro T. Miura, Masayuki Sato, Wolfgang K. Schief, Yasuhiro Shimizu

    Computer Aided Geometric Design   61   1 - 5   2018.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/j.cagd.2018.02.002

  • Fairness metric of plane curves defined with similarity geometry invariants Reviewed

    Kenjiro T. Miura, Sho Suzuki, R. U. Gobithaasan, Shin Usuki, Jun-ichi Inoguchi, Masayuki Sato, Kenji Kajiwara, Yasuhiro Shimizu

    Computer-Aided Design and Applications   15 ( 2 )   256 - 263   2018.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1080/16864360.2017.1375677

  • Geometric description of a discrete power function associated with the sixth Painlevé equation Reviewed

    473 ( 2207 )   2017.11

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    In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called cross-ratio equation with a similarity constraint. We show in this paper that this system is embedded in a cubic lattice with W (3A(1) 1 ) symmetry. By constructing the action of W (3A(1) 1 ) as a subgroup of W (D(1) 4 ), i.e. the symmetry group of PVI, we show how to relate W (D(1) 4 ) to the symmetry group of the lattice. Moreover, by using translations in W (3A(1) 1 ), we explain the odd–even structure appearing in previously known explicit formulae in terms of the t function.

    DOI： 10.1098/rspa.2017.0312

  • Geometric description of discrete power function associated with the sixth Painlevé equation Reviewed

    473 ( 2207 )   2017.11

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1098/rspa.2017.0312

  • 表面張力入りの Hele-Shaw 問題 Invited Reviewed International journal

    野見山雅之，筧三郎，梶原健司

    九州大学応用力学研究所研究集会報告   26AO ( S2 )   176 - 181   2017.5

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    Language：Japanese   Publishing type：Research paper (scientific journal)  

  • Geometric Aspects of Painlevé Equations Reviewed

    50 ( 7 )   073001   2017.2

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    Language：English  

    In this paper a comprehensive review is given on the current status of<br />
    achievements in the geometric aspects of the Painlev&#039;e equations, with a<br />
    particular emphasis on the discrete Painlev&#039;e equations. The theory is<br />
    controlled by the geometry of certain rational surfaces called the spaces of<br />
    initial values, which are characterized by eight point configuration on<br />
    $mathbb{P}^1 imesmathbb{P}^1$ and classified according to the degeration of<br />
    points. We give a systematic description of the equations and their various<br />
    properties, such as affine Weyl group symmetries, hypergeomtric solutions and<br />
    Lax pairs under this framework, by using the language of Picard lattice and<br />
    root systems. We also provide with a collection of basic data; equations, point<br />
    configurations/root data, Weyl group representations, Lax pairs, and<br />
    hypergeometric solutions of all possible cases.

    DOI： 10.1088/1751-8121/50/7/073001

  • Call for papers Special issue on fifty years of the Toda lattice Reviewed

    Vladimir Bazhanov, Patrick Dorey, Kenji Kajiwara, Kanehisa Takasaki

    Journal of Physics A: Mathematical and Theoretical   50 ( 31 )   2017.1

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    DOI： 10.1088/1751-8121/aa748f

  • dNLS flow on discrete space curves Reviewed International journal

    Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    Mathematics for Industry   24   137 - 149   2016.6

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    DOI： 10.1007/978-981-10-1076-7

  • Isogonal deformation of discrete plane curves and discrete Burgers hierarchy Reviewed

    Kenji Kajiwara, Toshinobu Kuroda, Nozomu Matsuura

    Pacific Journal of Mathematics for Industry   8 ( 1 )   1 - 14   2016.3

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    Isogonal deformation of discrete plane curves and discrete Burgers hierarchy
    We study deformations of plane curves in the similarity geometry. It is known that continuous deformations of smooth curves are described by the Burgers hierarchy. In this paper, we formulate the discrete deformation of discrete plane curves described by the discrete Burgers hierarchy as isogonal deformations. We also construct explicit formulas for the curve deformations by using the solution of linear diffusion differential/difference equations.

    DOI： 10.1186/s40736-016-0022-z

  • Isogonal deformation of discrete plane curves and discrete Burgers hierarchy Reviewed International journal

    Kenji Kajiwara, Toshinobu Kuroda, Nozomu Matsuura

    Pacific Journal of Mathematics for Industry   2016.3

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    DOI： 10.1186/s40736-016-0022-z

  • dNLS Flow on Discrete Space Curves

    Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    arXiv:1509.08076   2015.11

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    dNLS Flow on Discrete Space Curves
    arXiv version of the paper on MI Lecture Note.

  • Toda lattice hierarchy and Goldstein-Petrich flows for plane curves Invited Reviewed International journal

    Kenji Kajiwara, Saburo Kakei

    Commentarii Mathematici Univ. St. Pauli   63   29 - 45   2015.10

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  • dNLS Flow on Discrete Space Curves Reviewed

    Sampei Hirose, Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    MI Lecture Note   64   93 - 102   2015.9

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    dNLS Flow on Discrete Space Curves
    The local induction equation, or the binormal flow on space curves is a well-known model of deformation of space curves as it describes the dynamics of vortex filaments, and the complex curvature is governed by the nonlinear Schödinger equation (NLS). In this paper, we present its discrete analogue, namely, a model of deformation of discrete space curves by the discrete nonlinear Schrödinger equation (dNLS). We also present explicit formulas for both NLS and dNLS flows in terms of the tau function of the 2-component KP hierarchy.

  • Explicit formula and extension of the discrete power function associated with the circle patterns of Schramm type Reviewed International journal

    Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda

    Mathematics for Industry   18   19 - 32   2015.9

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    DOI： 10.1007/978-4-431-55007-5_15

  • Toda lattice hierarchy and Goldstein-Petrich flows for plane curves Reviewed

    Comment. Math. Univ. St. Pauli   64   29 - 45   2015.5

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    Toda lattice hierarchy and Goldstein-Petrich flows for plane curves
    A relation between the Goldstein-Petrich hierarchy for plane curves and the Toda lattice hierarchy is investigated. A representation formula for plane curves is given in terms of a special class of τ-functions of the Toda lattice hierarchy. A representation formula for discretized plane curves is also discussed.

  • Discrete Isoperimetric Deformation of Discrete Curves Reviewed International journal

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    Mathematics for Industry   4   111 - 122   2014.9

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    DOI： 10.1007/978-4-431-55007-5_15

  • 離散 mKdV および離散サイン・ゴルドン方程式による空間離散曲線の変形 Reviewed International journal

    井ノ口順一, 梶原健司, 松浦望, 太田泰広

    B47   1 - 22   2014.6

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  • Discrete mKdV and discrete sine-Gordon flows on discrete space curves

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   47 ( 23 )   235202   2014.6

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    DOI： 10.1088/1751-8113/47/23/235202

  • Discrete models of isoperimetric deformation of plane curves Reviewed International journal

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    Mathematics for Industry   5   89 - 100   2014.6

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    DOI： doi:10.1007/978-4-431-55060-0_7

  • Discrete mKdV and discrete sine-Gordon flows on discrete space curves Reviewed International journal

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Kobe University

    Journal of Physics A: Mathematical and Theoretical   47 ( 23 )   2014.5

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    DOI： doi:10.1088/1751-8113/47/23/235202

  • An Explicit Formula for the Discrete Power Function Associated with Circle Patterns of Schramm Type Reviewed

    Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda

    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA   57 ( 1 )   1 - 41   2014.4

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    DOI： 10.1619/fesi.57.1

  • 変形 KdV 階層による平面曲線の運動と戸田階層 Reviewed

    筧三郎, 梶原健司

    九州大学応用力学研究所研究集会報告   25AO-S2   8 - 13   2014.3

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  • 空間離散曲線の等周変形と離散 K 曲面 Reviewed

    井ノ口順一, 梶原健司, 松浦望, 太田泰広

    九州大学応用力学研究所研究集会報告   25AO-S2   1 - 7   2014.3

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  • Hypergeometric solutions to the symmetric q-Painlevé equations Reviewed

    2013   2013.11

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    Language：Japanese  

    DOI： 10.1093/imr/rnt237

  • Integrable discretizations of the Dym equation Reviewed

    Bao-Feng Feng, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Yasuhiro Ohta

    FRONTIERS OF MATHEMATICS IN CHINA   8 ( 5 )   1017 - 1029   2013.10

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    DOI： 10.1007/s11464-013-0321-y

  • Integrable discretizations of the Dym equation Reviewed International journal

    B.F. Feng, J. Inoguchi, Kenji Kajiwara, K. Maruno, Y. Ohta

    Frontiers of Mathematics in China   8 ( 5 )   1017 - 1029   2013.10

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    DOI： 10.1007/s11464-013-0321-y

  • Semi-discrete analogues of the elastic beam equation and the short pulse equation Reviewed

    K. Maruno, B.F. Feng, J. Inoguchi, K. Kajiwara, Y. Ohta

    Proceedings of 2013 International Symposium on Nonlinear Theory and its Applications   278 - 281   2013.9

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    Semi-discrete analogues of the elastic beam equation and the short pulse equation
    Two integrable nonlinear differential- difference systems, semi-discrete analogues of the Wadati-Konno-Ichikawa elastic beam equation and the short pulse equation, are constructed by using a geometric approach.

  • Semi-discrete analogues of the elastic beam equation and the short pulse equation Reviewed

    K. Maruno, B.F. Feng, J. Inoguchi, K. Kajiwara, Y. Ohta

    Proceedings of 2013 International Symposium on Nonlinear Theory and its Applications   278 - 281   2013.7

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  • 平面曲線の等周変形の離散モデルと離散可積分系

    梶原 健司

    科学・技術への研究課題への数学アプローチ–数学モデリングの基礎と展開   46   2013.3

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  • 離散曲線のダイナミクスと離散可積分系 Invited

    梶原 健司, 三谷浩将, 筧三郎

    立教大学数理物理学研究センター Lecture Note   1   1 - 47   2013.2

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  • Motion and Bäcklund Transformations of Discrete Plane Curves Reviewed

    66 ( 2 )   303 - 324   2012.9

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    We construct explicit solutions to discrete motion of discrete plane curves<br />
    which has been introduced by one of the authors recently. Explicit formulas in<br />
    terms the $ au$ function are presented. Transformation theory of motions of<br />
    both smooth and discrete curves is developed simultaneously.

    DOI： 10.2206/kyushujm.66.303

  • 可積分系入門–2次元戸田格子を中心にして– Invited

    梶原 健司

    離散可積 分系・離散微分幾何チュートリアル 2012   40   1 - 24   2012.3

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  • Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves Reviewed

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   45 ( 4 )   045206   2012.2

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    DOI： 10.1088/1751-8113/45/4/045206

  • Explicit solutions to the semi-discrete modified KdV equation and motion of discrete plane curves Reviewed International journal

    Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta

    Journal of Physics A: Mathematical and Theoretical   45   2012.1

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    DOI： doi:10.1088/1751-8113/45/4/045206

  • Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves Reviewed International journal

    Bao-Feng Feng, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Yasuhiro Ohta

    Journal of Physics A: Mathematical and Theoretical   44 ( 39 )   2011.9

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    DOI： doi:10.1088/1751-8113/44/39/395201

  • Discrete integrable systems and hodograph transformations arising from motions of discrete plane curves Reviewed

    Bao-Feng Feng, Jun-ichi Inoguchi, Kenji Kajiwara, Ken-ichi Maruno, Yasuhiro Ohta

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   44 ( 39 )   395201   2011.9

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    DOI： 10.1088/1751-8113/44/39/395201

  • An explicit formula for the discrete power function associated with circle patterns of Schramm type

    Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda

    2011.5

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  • Semi-discrete modified KdV 方程式と平面離散曲線の時間発展 Reviewed

    井ノ口順一，梶原健司，松浦望，太田泰広

    九州大学応用力学研究所研究集会報告   2011.4

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  • Bilinearization and Special Solutions to the Discrete Schwarzian KdV Equation Reviewed

    Mike Hay, Kenji Kajiwara, Tetsu Masuda

    Journal of Math-for-Industry   3 ( 2011A )   53 - 62   2011.4

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    Bilinearization and Special Solutions to the Discrete Schwarzian KdV Equation
    Various solutions to the discrete Schwarzian KdV equation are discussed. We<br />
    first derive the bilinear difference equations of Hirota type of the discrete<br />
    Schwarzian KP equation, which is decomposed into three discrete two-dimensional<br />
    Toda lattice equations. We then construct two kinds of solutions in terms of<br />
    the Casorati determinant. We derive the discrete Schwarzian KdV equation on an<br />
    inhomogeneous lattice and its solutions by a reduction process. We finally<br />
    discuss the solutions in terms of the $ au$ functions of some Painlev&#039;e<br />
    systems.

  • semi-discrete modified KdV方程式と平面離散曲線の時間発展 Reviewed

    井ノ口順一, 梶原健司, 松浦望, 太田泰広

    九州大学応用力学研究所研究集会報告   22AO-S8   75 - 81   2011.3

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  • The discrete potential Boussinesq equation and its multisoliton solutions Reviewed International journal

    Ken-ichi Maruno and Kenji Kajiwara

    Applicable Analysis   89 ( 4 )   2010.4

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    DOI： 10.1080/00036810903569473

  • Bilinearization and Casorati determinant solutions to non-autonomous 1 + 1 dimensional discrete soliton equations Invited Reviewed International journal

    Kenji Kajiwara and Yasuhiro Ohta

    RIMS Kokyuroku Bessatsu   B13   2009.11

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  • Bilinearization and Casorati determinant solutions to non-autonomous 1+1 dimensional discrete soliton equations Reviewed

    RIMS Kokyuroku Bessatsu   B13, pp. 53-73   53 - 73   2009.10

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    Bilinearization and Casorati determinant solutions to non-autonomous 1+1 dimensional discrete soliton equations

  • ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE Reviewed

    Kenji Kajiwara, Masanobu Kaneko, Atsushi Nobe, Teruhisa Tsuda

    KYUSHU JOURNAL OF MATHEMATICS   63 ( 2 )   315 - 338   2009.9

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    DOI： 10.2206/kyushujm.63.315

  • q-Painlev\'e 方程式の対称化

    梶原健司，中園信孝，津田照久

    九州大学応用力学研究所研究集会報告 20ME-S7 「非線形波動の数理と物理」   2009.6

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  • Ultradiscretization of solvable one-dimensional chaotic maps Reviewed

    Kenji Kajiwara, Atsushi Nobe, Teruhisa Tsuda

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   41 ( 39 )   2008.10

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    DOI： 10.1088/1751-8113/41/39/395202

  • Bilinearization and casorati determinant solution to the non-autonomous discrete KdV equation Reviewed

    Kenji Kajiwara, Yasuhiro Ohta

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   77 ( 5 )   2008.5

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    DOI： 10.1143/JPSJ.77.054004

  • A remark on the Hankel determinant formula for solutions of the Toda equation Reviewed International journal

    Kenji Kajiwara, Marta Mazzocco and Yasuhiro Ohta

    Journal of Physics A: Mathematical and Theoretical   2007.10

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    Other Link： http://stacks.iop.org/1751-8121/40/12661

  • Hypergeometric solutions to the q-Painlevé equation of type $A_4^{(1)}$ Reviewed

    40 ( 42 )   12509 - 12524   2007.10

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    We consider the q-Painlevé equation of type $A_4^{(1)}$ (a version of<br />
    q-Painlevé V equation) and construct a family of solutions expressible in<br />
    terms of certain basic hypergeometric series. We also present the determinant<br />
    formula for the solutions.

    DOI： 10.1088/1751-8113/40/42/S01

  • A remark on the Hankel determinant formula for solutions of the Toda equation Reviewed

    Kenji Kajiwara, Marta Mazzocco, Yasuhiro Ohta

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   40 ( 42 )   12661 - 12675   2007.10

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    DOI： 10.1088/1751-8113/40/42/S11

  • Hypergeometric solutions to the q-Painleve equation of type A_4^{(1)} Reviewed International journal

    Taro Hamamoto and Kenji Kajiwara

    Journal of Physics A: Mathematical and Theoretical   2007.10

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    Other Link： http://stacks.iop.org/1751-8121/40/12509

  • Generating function associated with the Hankel determinant formula for solutions of the Painleve IV equation Reviewed International journal

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    Funkcialaj Ekvacioj   2006.12

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  • Generating Function Related to the Okamoto Polynomials for the Painlev\'e IV Equation Reviewed International journal

    Hiromichi Goto and Kenji Kajiwara

    Bulletin of the Australian Mathematical Society   71 ( 3 )   517 - 526   2005.8

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  • Soliton solutions for the non-autonomous discrete-time Toda lattice equation Reviewed

    K Kajiwara, A Mukaihira

    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL   38 ( 28 )   6363 - 6370   2005.7

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    DOI： 10.1088/0305-4470/38/28/008

  • Soliton Solutions for the Non-autonomous Discrete-time Toda Lattice Equation Reviewed International journal

    Kenji Kajiwara and Atsushi Mukaihira

    Journal of Physics A: Mathematical and General   38 ( 28 )   6363 - 6370   2005.6

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    DOI： 10.1088/0305-4470/38/28/008

    Repository Public URL： http://hdl.handle.net/2324/11852

  • $q$-Painlevé方程式の超幾何解 (可積分系数理の展望と応用)

    梶原 健司, 増田 哲, 野海 正俊, 太田 泰広, 山田 泰彦

    数理解析研究所講究録   1422   77 - 98   2005.4

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    Language：Japanese  

  • Construction of Hypergeometric Solutions to the q-Painlevé Equations

    2005 ( 24 )   1439 - 1463   2005.1

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    Hypergeometric solutions to the q-Painlevé equations are constructed by<br />
    direct linearization of disrcrete Riccati equations. The decoupling factors are<br />
    explicitly determined so that the linear systems give rise to q-hypergeometric<br />
    equations.

    DOI： 10.1155/IMRN.2005.1439

  • Cremona変換と楕円差分Painleve方程式 : 高次元的な枠組みへの試論 (可積分系理論とその周辺 : 課題と展望を探る)

    梶原 健司, 増田 哲, 野海 正俊, 太田 泰広, 山田 泰彦

    数理解析研究所講究録   1400   197 - 263   2004.10

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  • Okamoto多項式のHankel行列式表示にに付随する母函数

    後藤弘道，梶原健司

    九州大学応用力学研究所研究集会報告 15ME-S3 「非線形波動および非線形力学系の数理とその応用」   2004.4

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  • Cubic Pencils and Painlev'e Hamiltonians

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta, Yasuhiko Yamada

    2004.3

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    Cubic Pencils and Painlev'e Hamiltonians
    We present a simple heuristic method to derive the Painlev&#039;e differential<br />
    equations from the corresponding geometry of rational surafces. We also give a<br />
    direct relationship between the cubic pencils and Seiberg-Witten curves.

  • 10E9) solution to the elliptic Painlevé equation

    36 ( 17 )   L263 - L272   2003.5

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    A τ function formalism for Sakai's elliptic Painlevé equation is presented. This establishes the equivalence between the two formulations by Sakai and by Ohta-Ramani-Grammaticos. We also give a simple geometric description of the elliptic Painlevé equation as a non-autonomous deformation of the addition formula on elliptic curves. By using these formulations, we construct a particular solution of die elliptic Painlevé equation expressed in terms of the elliptic hypergeometric function 10E9.

    DOI： 10.1088/0305-4470/36/17/102

  • 離散パンルヴェ方程式の理論：現状と展望

    梶原健司

    九州大学応用力学研究所研究集会報告 14ME-S7 「非線形波動および非線形力学系に関する最近の話題」   2003.4

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  • Discrete Dynamical Systems with W(A{(1)}{m-1} x A{(1)}_{n-1}) Symmetry International journal

    Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada

    Letters in Mathematical Physics   60 ( 3 )   211 - 219   2002.6

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    DOI： 10.1023/A:1016298925276

  • Discrete dynamical systems with W(A(m-1)((1)) x A(n-1)((1))) symmetry Reviewed

    K Kajiwara, M Noumi, A Yamada

    LETTERS IN MATHEMATICAL PHYSICS   60 ( 3 )   211 - 219   2002.6

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  • q-Painlev\'e III 方程式： 導出・対称性・特殊解

    梶原健司，木村欣司

    九州大学応用力学研究所研究集会報告 13ME-S4 「非線形波動現象の理論と応用」   2002.4

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  • Generating function associated with the rational solutions of the Painlevé II equation

    35 ( 16 )   L207 - L211   2002.4

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    We consider the Hankel determinant representation for the rational solutions of the Painlevé II equation. We give an explicit formula for the generating function of the entries in terms of logarithmic derivative of the Airy function.

    DOI： 10.1088/0305-4470/35/16/101

  • A Determinant Formula for a Class of Rational Solutions of Painlev\'e V Equation Reviewed International journal

    Tetsu Masuda, Yasuhiro Ohta and Kenji Kajiwara

    Nagoya Mathematical Journal   168   1 - 25   2002.1

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  • q-Painlev'e systems arising from q-KP hierarchy

    Kenji Kajiwara, Masatoshi Noumi, Yasuhiko Yamada

    2001.12

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    q-Painlev'e systems arising from q-KP hierarchy
    A system of q-Painlev&#039;e type equations with multi-time variables t_1,...,t_M<br />
    is obtained as a similarity reduction of the N-reduced q-KP hierarchy. This<br />
    system has affine Weyl group symmetry of type A^{(1)}_{M-1} imes<br />
    A^{(1)}_{N-1}. Its rational solutions are constructed in terms of q-Schur<br />
    functions.

  • A study on the fourth q-Painlevé equation

    34 ( 41 )   8563 - 8581   2001.10

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    A q-difference analogue of the fourth Painlevé equation is proposed. Its symmetry structure and some particular solutions are investigated.

    DOI： 10.1088/0305-4470/34/41/312

  • Discrete dynamical systems with $W(A^{(1)}_{m-1} imes A^{(1)}_{n-1})$ symmetry

    Kenji Kajiwara, Masatoshi Noumi, Yasuhiko Yamada

    2001.6

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    Discrete dynamical systems with $W(A^{(1)}_{m-1} imes A^{(1)}_{n-1})$ symmetry
    We give a birational realization of affine Weyl group of type $A^{(1)}_{m-1}<br />
    imes A^{(1)}_{n-1}$. We apply this representation to construct some discrete<br />
    integrable systems and discrete Painlev&#039;e equations. Our construction has a<br />
    combinatorial counterpart through the ultra-discretization procedure.

  • Painlev\'e V 方程式の有理解と universal character

    増田哲，太田泰広，梶原健司

    京都大学数理解析研究所講究録1203「パンルヴェ方程式の解析」   2001.4

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    Language：Japanese   Publishing type：Research paper (other academic)  

  • Painleve V 方程式の有理解とuniversal character (パンルヴェ方程式の解析)

    増田哲, 太田泰広, 梶原健司

    数理解析研究所講究録   1203   97 - 108   2001.4

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    Language：Japanese  

  • Painlev\'e 方程式の有理解に対する Schur 関数型表示

    増田哲，梶原健司

    京都大学数理解析研究所講究録 1170 「離散可積分系に関する最近の話題」   2000.9

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  • Painleve方程式の有理解に対するSchur関数型表示 (離散可積分系に関する最近の話題)

    増田哲, 梶原健司

    数理解析研究所講究録   1170   99 - 110   2000.9

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    Language：Japanese  

  • 超離散系に対する特異点閉じ込めテスト

    梶原健司，高橋大輔，松木平淳太，西成活裕

    九州大学応用力学研究所研究集会報告11ME-S4「非線形波動のメカニズム--現象とモデルの数理構造--」   2000.3

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  • Biliearization of Discrete Soliton Equations through the Singularity Confinement Test Reviewed International journal

    Kenji Kajiwara, Ken-ichi Maruno and Masayuki Oikawa

    Chaos, Solitons & Fractals   11 ( 1-3 )   33 - 39   2000.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/S0960-0779(98)00265-3

  • A Note on Integrable Systems Related to Discrete Time Toda Lattice Reviewed International journal

    Ken-ichi Maruno, Kenji Kajiwara and Masayuki Oikawa

    CRM Proceedings and Lecture Notes   2000.1

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    Language：English   Publishing type：Research paper (international conference proceedings)  

  • Bilinearization of discrete soliton equations through the singularity confinement test Reviewed

    K Kajiwara, K Maruno, M Oikawa

    CHAOS SOLITONS & FRACTALS   11 ( 1-3 )   33 - 39   2000.1

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  • On the Umemura Polynomials for the Painlev\'e III Equation Reviewed International journal

    Kenji Kajiwara and Tetsu Masuda

    Physics Letters A   1999.9

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  • On the Umemura polynomials for the Painleve III equation Reviewed

    K Kajiwara, T Masuda

    PHYSICS LETTERS A   260 ( 6 )   462 - 467   1999.9

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  • Determinant Formulas for the Toda and Discrete Toda Equations

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta, Yasuhiko Yamada

    1999.8

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    Language：Others  

    Determinant Formulas for the Toda and Discrete Toda Equations
    Determinant formulas for the general solutions of the Toda and discrete Toda<br />
    equations are presented. Application to the $ au$ functions for the Painlev&#039;e<br />
    equations is also discussed.

  • A Generalization of Determinant Formulae for the Solutions of Painlev\'e II and XXXIV Equations Reviewed International journal

    Kenji Kajiwara and Tetsu Masuda

    Journal of Physics A: Mathematical and General   1999.5

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  • A generalization of determinant formulae for the solutions of Painleve II and XXXIV equations Reviewed

    K Kajiwara, T Masuda

    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL   32 ( 20 )   3763 - 3778   1999.5

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    Language：English   Publishing type：Research paper (scientific journal)  

  • On the Integrability Test for Ultradiscrtete Equations

    Daisuke Takahashi and Kenji Kajiwara

    1999.4

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    Language：English   Publishing type：Research paper (other academic)  

  • On integrability test for ultradiscrete equations (Applied Mathematics of Discrete Integrable Systems)

    1098   1 - 13   1999.4

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    Language：English  

    On integrability test for ultradiscrete equations (Applied Mathematics of Discrete Integrable Systems)

  • Darboux Transformation for the Painlev\'e XXXIV and Painlev\'e II Equations

    1999.4

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    Language：Japanese   Publishing type：Research paper (other academic)  

  • Discrete potential soliton方程式と特異点閉じ込め

    丸野健一，梶原健司，及川正行

    九州大学応用力学研究所研究集会報告10ME-S1「ソリトン理論の新展開」   1999.4

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  • On an Integrable Discretization of the Rayleigh Quatient Gradient System and the Power Method with the Optimal Shift Reviewed International journal

    Yoshimasa Nakamura, Kenji Kajiwara and Hironori Shiotani

    Journal of Computational and Applied Mathematics   1998.9

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  • Coalescense Cascades and Special Function Solutions for the Continuous and Discrete Painlev\'e Equation Reviewed International journal

    K. M. Tamizhmani, A. Ramani, B. Grammaticos and K. Kajiwara

    Journal of Physics A: Mathematical and General   1998.7

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  • 離散ソリトン方程式と singularity confinement

    丸野健一，梶原健司

    九州大学応用力学研究所研究集会報告9ME-S2「ソリトン理論の新展開」   1998.5

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  • Casorati determinant solution for the discrete-time relativistic Toda lattice equation Reviewed

    K Maruno, K Kajiwara, M Oikawa

    PHYSICS LETTERS A   241 ( 6 )   335 - 343   1998.5

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  • Multiplicative dPII とその超離散極限について International journal

    中尾真一郎，梶原健司，高橋大輔

    九州大学応用力学研究所研究集会報告 9ME-S2「ソリトン理論の新展開」   1998.5

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    Language：Japanese   Publishing type：Research paper (international conference proceedings)  

  • Casorati Determinant Solutions for the Discrete Relativistic Toda Lattice Equation Reviewed International journal

    Ken-ichi Maruno, Kenji Kajiwara and Masayuki Oikawa

    Physics Letters A   241 ( 6 )   335 - 343   1998.5

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/S0375-9601(98)00150-9

  • Painlev\'e IV 方程式の代数解と Schur 関数

    梶原健司，太田泰広

    九州大学応用力学研究所研究集会報告 9ME-S2「ソリトン理論の新展開」   1998.5

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    Language：Japanese   Publishing type：Research paper (other academic)  

  • Determinant structure of the rational solutions for the Painlevé IV equation

    31 ( 10 )   2431 - 2446   1998.3

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    Rational solutions for the Painlevé IV equation are investigated by Hirota bilinear formalism. It is shown that the solutions in one hierarchy are expressed by 3-reduced Schur functions, and those in another two hierarchies by Casorati determinants of the Hermite polynomials, or by a special case of the Schur polynomials.

    DOI： 10.1088/0305-4470/31/10/017

  • Two-dimensional soliton cellular automaton of deautonomized Toda-type

    A Nagai, T Tokihiro, J Satsuma, R Willox, K Kajiwara

    PHYSICS LETTERS A   234 ( 4 )   301 - 309   1997.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/S0375-9601(97)00591-4

  • Rational solutions for the discrete Painlevé II equation

    232 ( 3-4 )   189 - 199   1997.7

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    The rational solutions for the discrete Painlevé II equation are constructed based on the bilinear formalism. It is shown that they are expressed by a determinant whose entries are given by the Laguerre polynomials. The continuous limit to the Devisme polynomial representation of the rational solutions for the Painlevé II equation is also discussed. © 1997 Elsevier Science B.V.

    DOI： 10.1016/S0375-9601(97)00397-6

  • Bilinearization of discrete soliton equations and singularity confinement Reviewed

    K Maruno, K Kajiwara, S Nakao, M Oikawa

    PHYSICS LETTERS A   229 ( 3 )   173 - 182   1997.5

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  • Rational solutions to d-PIV

    Jarmo Hietarinta, Kenji Kajiwara

    1997.5

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    Rational solutions to d-PIV
    We study the rational solutions of the discrete version of Painleve&#039;s fourth<br />
    equation d-PIV. The solutions are generated by applying Schlesinger<br />
    transformations on the seed solutions -2z and -1/z. After studying the<br />
    structure of these solutions we are able to write them in a determinantal form<br />
    that includes an interesting parameter shift that vanishes in the continuous<br />
    limit.

  • A study of the alternate discrete Painleve II equation

    F Nijhoff, J Satsuma, K Kajiwara, B Grammaticos, A Ramani

    INVERSE PROBLEMS   12 ( 5 )   697 - 716   1996.10

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Determinant structure of the rational solutions for the Painlevé II equation

    37 ( 9 )   4693 - 4704   1996.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    Two types of determinant representations of the rational solutions for the Painlevé II equation are discussed by using the bilinear formalism. One of them is a representation by the Devisme polynomials, and another one is Hankel determinant representation. They are derived from the determinant solutions of the KP hierarchy and Toda lattice, respectively. © 1996 American Institute of Physics.

    DOI： 10.1063/1.531648

  • BILINEAR DISCRETE PAINLEVE-II AND ITS PARTICULAR SOLUTIONS

    J SATSUMA, K KAJIWARA, B GRAMMATICOS, J HIETARINTA, A RAMANI

    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL   28 ( 12 )   3541 - 3548   1995.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1088/0305-4470/28/12/025

  • Q-DISCRETIZATION OF THE 2-DIMENSIONAL TODA EQUATIONS Reviewed

    K KAJIWARA, Y OHTA, J SATSUMA

    THEORETICAL AND MATHEMATICAL PHYSICS   99 ( 3 )   668 - 674   1994.6

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  • q-discrete Toda molecule equation

    Kenji Kajiwara, Yasuhiro Ohta, Junkichi Satsuma

    Physics Letters A   180 ( 3 )   249 - 256   1993.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/0375-9601(93)90705-5

  • ソリトン方程式のq-離散化(非線型可積分系の研究の現状と展望)

    梶原 健司, 薩摩 順吉

    数理解析研究所講究録   822   163 - 175   1993.3

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    Language：Japanese  

  • 三次形式で書かれる非線形波動方程式の解(流体中の非線形波動の数理的側面)

    梶原 健司, 松木平 淳太, 薩摩 順吉

    数理解析研究所講究録   782 ( 782 )   183 - 194   1992.5

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    Language：Japanese  

  • Q-DIFFERENCE VERSION OF THE 2-DIMENSIONAL TODA LATTICE EQUATION

    K KAJIWARA, J SATSUMA

    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN   60 ( 12 )   3986 - 3989   1991.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1143/JPSJ.60.3986

  • THE CONSERVED QUANTITIES AND SYMMETRIES OF THE 2-DIMENSIONAL TODA LATTICE HIERARCHY

    K KAJIWARA, J SATSUMA

    JOURNAL OF MATHEMATICAL PHYSICS   32 ( 2 )   506 - 514   1991.2

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1063/1.529387

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Books

  • 可視化の技術と現代幾何学

    若山正人（編）（ Role： Joint author）

    岩波書店  2010.4 

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    Language：Japanese   Book type：Scholarly book

    Repository Public URL： http://hdl.handle.net/2324/1001427954

  • 応用数理ハンドブック（日本応用数理学会編）

    梶原健司（ Role： Joint author）

    朝倉書店  2013.11 

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    Language：Japanese   Book type：Scholarly book

  • 離散可積分系・離散微分幾何チュートリアル2012

    井ノ口順一, 太田泰広, 筧三郎, 梶原健司, 松浦望（ Role： Edit）

    九州大学マス・フォア・インダストリ研究所，九州大学大学院数理学研究院  2012.3 

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    Language：Japanese  

  • 応用数学ハンドブック

    藤原毅夫，平尾公彦，久田俊明，広瀬啓吉　編（ Role： Joint author）

    丸善  2005.3 

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    Language：Japanese   Book type：Scholarly book

  • 可積分系の応用数理

    中村 佳正, 渡辺 芳英, 西成 活裕, 松木平 淳太, 永井 敦, 辻本 諭, 佐々 成正, 梶原 健司

    裳華房  2000.6 

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    Responsible for pages：総ページ数：315   Language：Others  

  • 可積分系の応用数理

    辻本諭，西成活裕，佐々成正，松木平淳太，梶原健司，中村佳正，渡邊芳英（ Role： Joint author）

    裳華房  2000.6 

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    Responsible for pages：第４章「離散系における可積分性の判定」(p.132-170)を執筆   Language：Japanese   Book type：Scholarly book

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Presentations

  • 可積分幾何による美的形状の生成 Invited

    梶原 健司

    日本数学会2024年度年会  2024.3 

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：大阪公立大学   Country：Japan  

    工業意匠設計分野で開発された「美的性」を内蔵する平面曲線の族「対数型美的曲線」を，ユークリッド幾何と異なる「相似幾何」の曲線論で定式化することによる数学的によい構造の発見と，それを足がかりにした空間曲線，曲面への一般化を議論した．さらに対数型美的曲線の可積分離散化と可積分離散正則函数の理論を力学的合理性・可積分性・美的性を兼ね備えた構造物の設計に活用した例を報告した．

    Repository Public URL： https://hdl.handle.net/2324/7178657

  • Development of Mathematics for Industry in Japan: New Research Area, Education and Platform International conference

    Kenji Kajiwara

    10th International Congress of Industrial and Applied Mathematics (ICIAM2023)  2023.8 

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    Event date： 2023.8 - 2024.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Generation of Aesthetic Shape by Integrable Geometry International conference

    Kenji Kajiwara, @Yoshiki Jikumaru, @Wolfgang K. Schief

    10th International Congress of Industrial and Applied Mathematics (ICIAM2023)  2023.8 

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    Event date： 2023.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 可積分系と幾何学的形状生成 — 「よい」方程式は「よい」形状を生成するか? — Invited

    梶原健司

    日本応用数理学会 2021 年研究部会連合発表会  2021.3 

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    Event date： 2021.3

    Language：Japanese   Presentation type：Oral presentation (invited, special)  

    Venue：オンライン   Country：Japan  

  • Explicit formulas for motions of smooth/discrete elasticae International conference

    #Shota Shigetomi and @Kenji Kajiwara

    Australia New Zealand Industrial and Applied Mathematics Conference 2021  2021.2 

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    Event date： 2021.1 - 2021.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

    Explicit formulas for motions of smooth/discrete elasticae

  • Integrable discrete deformations of discrete curves: geometry and solitons, old and new Invited International conference

    Kenji Kajiwara

    2015.3 

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    Event date： 2015.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Torsion-preserving isoperimetric deformation of discrete space curves and its exact solutions International conference

    Kenji Kajiwara

    Symmetries and Integrability of Difference Equation X!  2014.6 

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    Event date： 2014.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：India  

  • Some explicit formulas in discrete differential geometry Invited International conference

    Kenji Kajiwara

    Nonlinear Dynamical Systems  2012.9 

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    Event date： 2012.9

    Language：English   Presentation type：Oral presentation (invited, special)  

    Country：Australia  

  • 可積分系入門 Invited

    梶原 健司

    離散可積分系・離散微分幾何チュートリアル 2012  2012.2 

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    Event date： 2012.2

    Language：Japanese   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：九州大学伊都キャンパス   Country：Japan  

  • Discretization of planar curve motions and discrete integrable systems Invited

    Winter School for Young Researchers on Mathematical Aspects of Image Processing and Computer Vision  2011.11 

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    Event date： 2011.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discretization of Integrable Systems - From Nonlinear Waves to Geometry Invited International conference

    Kenji Kajiwara

    Distinguished Lecture, Colloquium  2011.2 

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    Event date： 2011.2

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：United States  

  • ユークリッド平面上の離散曲線の運動とBäcklund変換

    井ノ口順一，梶原健司，松浦望，太田泰広

    日本応用数理学会年会  2010.9 

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    Event date： 2010.9

    Presentation type：Oral presentation (general)  

    Venue：明治大学駿河台キャンパス   Country：Japan  

  • 可積分系入門 Invited

    梶原健司

    離散可積分系・離散微分幾何チュートリアル  2010.2 

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    Event date： 2010.2

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：九州大学   Country：Japan  

  • Hypergeometric solutions to the symmetric discrete Painlevé equations Invited International conference

    2009.7 

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    Event date： 2009.6 - 2009.7

    Presentation type：Oral presentation (invited, special)  

    Venue：Isaac Newton Institute for Mathematical Sciences   Country：United Kingdom  

  • Ultradiscretization of solvable chaotic maps and the tropical geometry Invited International conference

    Kenji Kajiwara, Atsushi Nobe and Teruhisa Tsuda

    Geometric aspects of discrete and ultra-discrete integrable systems  2009.4 

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    Event date： 2009.3 - 2009.4

    Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • Hypergeometric solutions to the Painlevé systems Invited International conference

    2008.6 

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    Event date： 2008.6

    Presentation type：Oral presentation (general)  

    Venue：Hotel Mont-Gabriel, Sainte-Adele, Quebec   Country：Canada  

  • 対数型美的曲線の空間曲線アナロジー：ヤコビの楕円函数を用いた明示公式

    @軸丸芳揮, 梶原 健司, @Wolfgang K. Schief

    日本応用数理学会第20回研究部会連合発表会  2024.3 

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：長岡技術科学大学   Country：Japan  

  • 平面上の対数型美的曲線の空間中での可積分変形が生成する曲面

    梶原健司，@軸丸芳揮，@Wolfgang K. Schief

    日本応用数理学会第20回研究部会連合発表会  2024.3 

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：長岡技術科学大学   Country：Japan  

  • 構造設計に動機づけられた可積分離散正則函数における変分原理の構築

    軸丸芳揮, @横須賀 洋平, @林 和希, @早川 健太郎, @梶原 健司

    日本応用数理学会第20回研究部会連合発表会  2024.3 

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    Event date： 2024.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：長岡技術科学大学   Country：Japan  

  • A Truss Structure with Mechanical Optimality, Integrability and Artisticity International conference

    Kenji Kajiwara, @Yoshiki Jikumaru, @Kazuki Hayashi, @Kentaro Hayakawa, @Youhei Yokosuka

    ANZIAM Conference 2024  2024.2 

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    Event date： 2024.2

    Language：English  

    Country：Australia  

  • Development of Mathematics for Industry in Asia Pacific Area: New Research Area, Education and Platform Invited International conference

    Kenji Kajiwara

    Fifth JSPSAAA Annual Symposium  2023.11 

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    Event date： 2023.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Generation of Aesthetic Shape by Integrable Geometry Invited International conference

    Kenji Kajiwara, @Yoshiki Jikumaru, @Wolfgang K. Schief

    Workshop on Mathematics for Industry  2023.9 

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    Event date： 2023.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Poland  

  • Generation of Aesthetic Curves and Surfaces by Integrable Geometry International conference

    Kenji Kajiwara, @Yoshiki Jikumaru @Wolfgang K. Schief

    ECMI Conference 2023  2023.6 

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    Event date： 2023.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Poland  

  • A Truss Structure with Mechanical Optimality, Integrability and Artisticity Invited International conference

    Kenji Kajiwara, @Yoshiki Jikumaru, @Kazuki Hayashi, @Kentaro Hayakawa, @Youhei Yokosuka

    Symmetries and Integrability of Difference Equations (SIDE14.2)  2023.6 

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    Event date： 2023.6 - 2024.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Poland  

  • 可積分幾何に基づくMichellトラス型構造と離散対数型美的曲線

    早川健太郎，林和希，@軸丸芳揮，@梶原健司，横須賀洋平

    日本数学会2023年度年会  2023.3 

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    Event date： 2023.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：中央大学理工学部   Country：Japan  

  • 可積分幾何に基づくトラス構造の生成と力学的特性について

    @軸丸芳揮，林和希，早川健太郎，横須賀洋平，@梶原健司

    日本応用数理学会研究部会連合発表会  2023.3 

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    Event date： 2023.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：岡山理科大学   Country：Japan  

  • 相似幾何における擬球型曲面の枠の対称性による積分公式

    @軸丸芳揮，@梶原健司，Wolfgang K. Schief

    日本応用数理学会研究部会連合発表会  2023.3 

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    Event date： 2023.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：岡山理科大学   Country：Japan  

  • Generation of Aesthetic Curves and Surfaces by Integrable Geometry Invited International conference

    @Kenji Kajiwara

    2023.3 

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    Event date： 2023.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Generation of Aesthetic Curves and Surfaces by Integrable Geometry Invited International conference

    @Kenji Kajiwara

    SIAM Conference on Computer Science and Engineering  2023.2 

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    Event date： 2023.2 - 2023.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Netherlands  

  • カライドサイクルの明示公式

    #重富尚太，@梶原健司

    日本数学会2022年度秋季総合分科会  2022.9 

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    Event date： 2022.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：北海道大学   Country：Japan  

  • 設計の新パラダイムを拓く新しい離散的な曲面の幾何学：美的性・力学的合理性・施工性を備えた幾何学的形状生成への挑戦 Invited

    @梶原健司

    JST数学関連3領域連携ワークショップ「情報科学と拓く新しい数理科学」  2022.9 

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    Event date： 2022.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：北海道大学   Country：Japan  

  • カライドサイクルの明示公式

    #重富尚太，@梶原健司

    日本応用数理学会2022年度年会  2022.9 

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    Event date： 2022.9

    Language：English   Presentation type：Oral presentation (general)  

    Venue：北海道大学   Country：Japan  

  • 離散正則函数を用いたMichellトラス型構造について

    早川健太郎，林和希，@軸丸芳揮，@梶原健司，横須賀洋平

    日本応用数理学会2022年度年会  2022.9 

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    Event date： 2022.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：北海道大学   Country：Japan  

  • 相似幾何における相似捩率一定空間曲線の可積分変形の生成する曲面

    井ノ口順一，@軸丸芳揮，@梶原健司，Wolfgang K. Schief

    日本応用数理学会2022年度年会  2022.9 

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    Event date： 2022.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：北海道大学   Country：Japan  

  • Geometric Generation of Aesthetic Shapes by Integrable Systems Invited International conference

    @Kenji Kajiwara

    ICIAM Workshop on Industrial and Applied Mathematics  2022.9 

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    Event date： 2022.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • 可積分系による形状生成：弾性曲線・対数型美的曲線から「美的曲面」へ Invited

    @梶原健司

    RIMS共同研究（公開型）「可積分系数理の発展と応用」  2022.8 

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    Event date： 2022.8 - 2023.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • 設計の新パラダイムを拓く新しい離散的な曲面の幾何学 Invited

    @梶原健司

    JST CREST研究領域 「数学・数理科学の連携・融合による情報活用基盤の創出と社会課題に向けた展開」領域会議  2022.7 

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    Event date： 2022.7

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：JST東京本部   Country：Japan  

  • Fairing of discrete planar curves with integrable discretization of Euler's elasticae Invited International conference

    European Consortium of Mathematics in Industry Conference 2021  2022.4 

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    Event date： 2022.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 相似幾何によるS字型離散対数型美的曲線の生成法

    @井ノ口 順一, 軸丸 芳揮, 梶原 健司, @三浦 憲二郎, @Wolfgang Schief

    日本応用数理学会第18回研究部会連合発表会  2022.3 

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    Event date： 2022.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Torsion angle 一定の空間離散曲線の等周変形の楕円テータ函数による明示公式

    #重富尚太，梶原健司

    日本応用数理学会第18回研究部会連合発表会  2022.3 

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    Event date： 2022.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 捩率角一定の空間離散曲線の等周変形の楕円テータ函数による明示公式

    #重富尚太，梶原健司

    日本数学会2022年度年会  2022.3 

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    Event date： 2022.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • An explicit formula for isoperimetric deformation of discrete space curve with constant torsion angle Invited

    #Shota Shigetomi, Kenji Kajiwara

    The 4th International Workshop Geometry of Submanifolds and Integrable Systems  2022.2 

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    Event date： 2022.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Fairing of planar curves by Log-aesthetic curves Invited International conference

    The 4th International Workshop - Geometry of Submanifolds and Integrable Systems  2022.2 

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    Event date： 2022.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • An explicit formula for isoperimetric deformation of discrete space curve with constant torsion angle International conference

    #Shota Shigetomi, Kenji Kajiwara

    ANZIAM Annual Conference 2022  2022.2 

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    Event date： 2022.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Reconstruction of Log-aesthetic curve parameters Invited International conference

    Perspectives on Artificial Intelligence and Machine Learning in Material Science  2022.2 

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    Event date： 2022.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Explicit formulas of isoperimetric deformations of smooth and discrete elasticae

    #Shota Shigetomi, Kenji Kajiwara

    Engineering Mathematics and Applications Conference 2021  2021.12 

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    Event date： 2021.12

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 楕円テータ函数を用いたカライドサイクルの明示公式の構成

    #重富尚太, 鍛冶静雄, 梶原健司, 朴炯基

    非線形波動と可積分系  2021.11 

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    Event date： 2021.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 捩率一定空間曲線およびtorsion angle一定空間離散曲線に対する楕円テータ函数による明示公式

    #重富尚太，梶原健司

    日本応用数理学会 2021 年度年会  2021.9 

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    Event date： 2021.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Parametric identification of Log-aesthetic curves based on similarity transformations

    2021.9 

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    Event date： 2021.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 相似幾何におけるsine-Gordon方程式と擬球型曲面対応 Invited

    軸丸芳揮，梶原健司，@Wolfgang Schief

    特異点論の未来  2021.6 

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    Event date： 2021.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Generation of Aesthetic Shapes by Integrable Integrable Systems Invited International conference

    Kenji Kajiwara

    ANZIAM Seminar  2021.4 

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    Event date： 2021.4 - 2022.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Explicit formulas of arc-length preserving motions of smooth and discrete elasticae International conference

    #Shota Shigetomi, Kenji Kajiwara

    European Consortium of Mathematics in Industry Conference 2021  2021.4 

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    Event date： 2021.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 対数型美的曲線の空間曲線・曲面への拡張と擬球型曲面対応

    @軸丸芳揮，@梶原健司，@Wolfgang K. Schief

    日本応用数理学会 2021 年研究部会連合発表会  2021.3 

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    Event date： 2021.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 連続および離散弾性曲線の等周変形の明示公式と mKdV 階層のテータ函数解

    #重富尚太，@梶原健司

    日本応用数理学会 2021 年研究部会連合発表会  2021.3 

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    Event date： 2021.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • 平面弾性曲線の等周変形の楕円テータ関数による明示公式の構成

    #重富尚太，@梶原健司

    日本応用数理学会 2020 年度年会  2020.9 

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    Event date： 2020.9 - 2021.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Spherical Kaleidocycles on 3-sphere

    #Park Hyeongki, @Jakub Rondomanski, @Kenji Kajiwara and @Konrad Polthier

    2021.9 

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    Event date： 2020.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Spherical Kaleidocycles on 3-sphere

  • 可積分系と美的形状の幾何

    @梶原健司，@Wolfgang Schief，@井ノ口順一

    日本応用数理学会2020年研究部会連合発表会  2020.3 

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    Event date： 2020.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：中央大学後楽園キャンパス   Country：Japan  

  • Generation of aesthetic shapes by integrable systems International conference

    @Kenji Kajiwara, @Wolfgang Schief

    Australia New Zealand Industrial and Applied Mathematics 2020  2020.2 

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    Event date： 2020.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • 可積分系と美的形状の幾何 Invited

    @梶原健司，@井ノ口順一，@三浦憲二郎，@Wolfgang Schief

    龍谷大学理工学部数理情報学科セミナー  2020.1 

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    Event date： 2020.1

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：龍谷大学瀬田学舎   Country：Japan  

  • 可積分系と美的形状の幾何 Invited

    @梶原健司，@井ノ口順一，@三浦憲二郎，@Wolfgang Schief

    離散幾何解析とその周辺2019  2019.12 

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    Event date： 2019.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：CIC東京   Country：Japan  

  • 設計の新パラダイムを拓く 新しい離散的な曲面の幾何学

    @梶原健司

    2019年度IMI短期共同研究「離散微分幾何の設計への応用：理論から実務へ」  2019.9 

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    Event date： 2019.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学マス・フォア・インダストリ研究所   Country：Japan  

  • 六角格子上の離散冪函数：ABS方程式系とGarnier系からの導出

    @Nalini Joshi, @梶原健司，@増田哲，@中園信孝

    日本応用数理学会2019年度年会  2019.9 

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    Event date： 2019.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京大学駒場キャンパス   Country：Japan  

  • ユークリッド幾何に基づく離散対数型美的曲線の実装

    @井ノ口順一，@梶原健司，@三浦憲二郎

    日本応用数理学会2019年度年会  2019.9 

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    Event date： 2019.9

    Language：Japanese  

    Venue：東京大学駒場キャンパス   Country：Japan  

  • 形と可積分系 Invited

    @梶原健司

    2019.9 

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    Event date： 2019.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：早稲田大学   Country：Japan  

  • Generation of Aesthetic Shapes by Integrable Geometry International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang Schief

    International Congress on Industrial and Applied Mathematics 2019  2019.7 

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    Event date： 2019.7

    Language：English   Presentation type：Oral presentation (general)  

    Country：Spain  

  • Linkage Mechanisms Governed by Integrable Deformation of Discrete Space Curves International conference

    @Kenji Kajiwara, @Shizuo Kaji, @Hyeongki Park

    ISLAND V:Integrability, special functions and combinatorics  2019.6 

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    Event date： 2019.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • The Burgers-type Equations in the Deformation Theory of Curves Invited International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang Schief

    Applications of Nonlinear Diffusion Equations 2019  2019.6 

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    Event date： 2019.6

    Language：English   Presentation type：Oral presentation (invited, special)  

    Country：Australia  

  • Application of Integrable Discrete Differential Geometry to Industrial Design Invited International conference

    @Kenji Kajiwara @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang Schief

    Kyushu University - National Taiwan Normal University Joint Forum  2019.5 

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    Event date： 2019.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：Taiwan, Province of China  

  • Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler's Elasticae Invited International conference

    @Kenji Kajiwara

    Asymptotic, Algebraic and Geometric Aspects of Integrable Systems  2018.4 

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    Event date： 2019.4 - 2018.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • マス・フォア・インダストリの理念と実践 Invited

    @梶原健司

    工学系基礎教育研究会，2019年日本数学会年会  2019.3 

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    Event date： 2019.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京工業大学   Country：Japan  

  • 実寸と重なりの非対称性を考慮した桟瓦のキーラインの等辺開多角形近似

    @鈴木利友，@井上年和，@梶原健司，@三浦憲二郎

    精密工学会2019年度春期大会  2019.3 

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    Event date： 2019.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京電機大学   Country：Japan  

  • 相似幾何およびユークリッド幾何に基づく離散対数型美的曲線の生成

    @三浦憲二郎，@梶原健司，@井ノ口順一

    精密工学会2019年度春期大会  2019.3 

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    Event date： 2019.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：東京電機大学   Country：Japan  

  • A hinged linkage mechanism that follows discrete integrable equations

    2019.3 

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    Event date： 2019.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 相似可積分幾何を用いた対数型美的曲線の空間曲線への拡張 II

    @梶原健司，@井ノ口順一，@三浦憲二郎，@Wolfgang K. Schief

    日本応用数理学会2019年研究部会連合発表会  2019.3 

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    Event date： 2019.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：筑波大学   Country：Japan  

  • Space Curve Extensions of Log-Aesthetic Curves in Industrial Design by Integrable Geometry International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang Schief

    55th Annual Meeting of the Australia New Zealand Industrial and Applied Mathematics  2019.2 

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    Event date： 2019.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：New Zealand  

  • A hinged linkage mechanism that follows discrete integrable equations International conference

    @Shizuo Kaji, @Kenji Kajiwara, #Hyeongki Park

    55th Annual Meeting of the Australia New Zealand Industrial and Applied Mathematics  2019.2 

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    Event date： 2019.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：New Zealand  

  • A New Framework and Extensions of Log-Aesthetic Curves in Industrial Design by Integrable Geometry International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, #Kenjiro T. Miura, @Wolfgang K. Schief

    62nd Annual Meeting of the Australian Mathematical Society  2018.12 

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    Event date： 2018.12

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Extensions of log-aesthetic curves in industrial design Invited International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang K. Schief

    Integrable Systems 2018  2018.11 

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    Event date： 2018.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Hinged linkage mechanism that follows discrete integrable equations

    @Shizuo Kaji, @Kenji Kajiwara, #Hyeongki Park

    Forum "Math-for-Industry" 2018  2018.11 

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    Event date： 2018.11

    Language：English  

    Country：China  

  • Lotka-Volterra flow on discrete centroaffine plane curves International conference

    @Kenji Kajiwara, @Nozomu Matsuura, #Heyongki Park

    13th International Conference on Symmetries and Integrability of Difference Equations  2018.11 

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    Event date： 2018.11

    Language：English  

    Country：Japan  

  • Log-aestiethic curves in industrial design as similarity analogue of Euler's elasticae Invited International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi,@ Kenjiro T. Miura, @Wolfgang K. Schief

    Geometric Design Meeting at Hokkaido  2018.10 

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    Event date： 2018.10

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Log-aestiethic curves in industrial design as similarity analogue of Euler's elastic curves Invited International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura, @Wolfgang K. Schief

    Autumn School "Geometric Shape Generation"  2018.10 

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    Event date： 2018.10

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Austria  

  • Introduction to the discrete integrable systems based on the geometry of plane curves (1) Invited International conference

    @Kenji Kajiwara

    Summer School "Geometric Shape Generation"  2018.9 

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    Event date： 2018.9

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • Log-aesthetic curves in industrial design as similarity analogue of Euler's elastic curves Invited International conference

    @Kenji Kajiwara, @Jun-ichi Inoguchi, @Kenjiro T. Miura and @Wolfgang K. Schief

    Summer School "Geometric Shape Generation"  2018.9 

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    Event date： 2018.9

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • Introduction to the discrete integrable systems based on the geometry of plane curves (2) Invited International conference

    @Kenji Kajiwara

    Summer School "Geometric Shape Generation"  2018.9 

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    Event date： 2018.9

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • 相似可積分幾何を用いた対数型美的曲線の 空間曲線への拡張

    @梶原健司，@Wolfgang Schief

    日本応用数理学会2018年度年会  2018.9 

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    Event date： 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：名古屋大学   Country：Japan  

  • Fairing of discrete planar curves with integrable discretization of Euler's elasticae

    2018.9 

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    Event date： 2018.9

    Language：English  

    Country：Japan  

    Fairing of discrete planar curves with integrable discretization of Euler's elasticae, #Sebastiàn Elìas Graiff-Zurita, @Kenji Kajiwara, JSIAM2018 Annual Conference, Nagoya University, 2018.9.3-5.

  • Lotka-Volterra flow on discrete centroaffine plane curves

    @Kenji Kajiwara, @Nozomu Matsuura, #Hyeongki Park

    2018.9 

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    Event date： 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Lotka-Volterra flow on discrete centroaffine plane curves, @Kenji Kajiwara, @Nozomu Matsuura, #Hyeongki Park, JSIAM2018 Annual Conference, Nagoya University, 2018.9.3-5.

  • Geometric description of discrete power function associated with the sixth Painlevé equation Invited International conference

    Painlevé equations and applications in memory of Andrei Kapaev  2017.8 

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    Event date： 2018.8 - 2018.6

    Language：English  

    Venue：University of Michigan, Ann Arbor, Michigan   Country：United States  

  • Integrable discrete deformations of space/plane discrete curves Invited International conference

    @Kenji Kajiwara

    3rd China-Japan Joint Workshop on Integrable Systems  2018.6 

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    Event date： 2018.8 - 2018.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • Integrable Discretization of Log-Aesthetic Curves in Industrial Design Invited International conference

    @Kenji Kajiwara

    12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2018)  2018.7 

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    Event date： 2018.7 - 2019.7

    Language：English   Presentation type：Oral presentation (general)  

    Country：Taiwan, Province of China  

  • 離散可積分幾何による対数型美的曲線の離散化 Invited

    @梶原健司，#朴炯基，@W.K. Schief

    2018年度精密工学会春季大会  2018.3 

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    Event date： 2018.3

    Language：Japanese  

    Venue：中央大学後楽園キャンパス   Country：Japan  

  • 離散対数型美的曲線の離散変分原理による定式化

    @梶原健司, #朴炯基, @W.Schief

    日本応用数理学会第14回研究部会連合発表会  2018.3 

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    Event date： 2018.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：大阪大学吹田キャンパス   Country：Japan  

  • 土壌中の水浸透現象に対する可積分離散モデルの比較検討

    @梶原健司, @D. Triadis, @P. Broadbridge, @丸野健一

    日本応用数理学会第14回研究部会連合発表会  2018.3 

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    Event date： 2018.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：大阪大学吹田キャンパス   Country：Japan  

  • マス・フォア・インダストリの理念と現実 Invited

    @梶原健司

    RIMS 研究集会「教育数学の一側面―高等教育における数学の多様性と普遍性 ―」  2018.2 

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    Event date： 2018.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • An integrable discrete model for soil-water infiltration International conference

    @D.Triadis, @P. Broadbridge, @K. Kajiwara, @K. Maruno

    ANZIAM Conference 2018  2018.2 

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    Event date： 2018.2

    Language：English  

    Country：Australia  

  • Log-Aesthetic Curves in Industrial Design as Similarity Geometric Analogue of Euler’s Elastic Curves International conference

    2018.2 

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    Event date： 2018.2

    Language：English  

    Venue：Hotel Grand Chancellor, Hobart, Tasmania   Country：Australia  

  • Log-Aesthetic　Curves　in　Industrial　Design　as　Similarity　Geometric　Analogue　of　Euler’s　Elastic Curves Invited International conference

    2017.12 

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    Event date： 2017.12

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Novotel Ambassador Hotel, Busan   Country：Korea, Republic of  

  • 相似幾何における弾性曲線とその離散化:CAGD との関連について

    @井ノ口順一，@梶原健司，@三浦憲二郎，#朴炯基，@W.K. Schief

    九州大学応用力学研究所共同利用研究集会「非線形波動研究の新潮流―理論とその応用―」  2017.11 

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    Event date： 2017.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • Explicit formula for mKdV flow on centroaffine plane curves

    2017.9 

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    Event date： 2017.9 - 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 相似幾何不変量による平面曲線の Fairness 測度

    @三浦憲二郎，@鈴木晶, @臼杵 深, @Gobithaasan Rudrusamy, @井ノ口順一, @佐藤雅之, @梶原健司, @清水保弘

    日本応用数理学会2017年年会  2017.9 

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    Event date： 2017.9 - 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：武蔵野大学   Country：Japan  

  • 対数型美的曲線の相似幾何における平面曲線に対する変分原理による定式化

    @井ノ口順一, @梶原健司, @三浦憲二郎， @W. Schief

    日本応用数理学会2017年年会  2017.9 

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    Event date： 2017.9 - 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：武蔵野大学   Country：Japan  

  • 対数型美的曲線の離散化と相似幾何における平面離散曲線に対する離散変分原理による定式化

    @梶原健司, #朴炯基， @W. Schief

    日本応用数理学会2017年年会  2017.9 

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    Event date： 2017.9 - 2018.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：武蔵野大学   Country：Japan  

  • Aspects of Integrable discrete differential geometry Invited International conference

    @Kenji Kajiwara

    Applied Mathematics Seminar  2017.5 

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    Event date： 2017.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • Soliton equations and deformation of smooth/discrete curves.II. deformation of space curves by mKdV and NLS equations Invited International conference

    @Kenji Kajiwara

    Applied Mathematics Seminar  2017.5 

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    Event date： 2017.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • Soliton equations and deformation of smooth/discrete curves.I. deformation of plane curves by mKdV equations Invited International conference

    @Kenji Kajiwara

    Applied Mathematics Seminar  2017.5 

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    Event date： 2017.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • dNLS flow on discrete space curves Invited International conference

    @Kenji Kajiwara

    10th IMACS Conference on Nonlinear and Evolution Equations and Wave Phenomena: Computation and Theory  2017.3 

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    Event date： 2017.3 - 2018.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：United States  

  • Construction and simulation of discrete integrable model for soil water infiltration problem

    2017.3 

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    Event date： 2017.3

    Language：Japanese  

    Country：Japan  

  • Integrable deformation of plane/space curves Invited International conference

    @Kenji Kajiwara

    First Kyushu-UNSW Joint Workshop on the Mathematics underpinning Industry and Innovation  2016.11 

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    Event date： 2016.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Construction and simulation of discrete integrable model for soil water infiltration problem

    @Kenji Kajiwara, @Ken-ichi Maruno, @Dimetre Triadis and @Philip Broadbridge

    2016.11 

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    Event date： 2016.11

    Language：Others  

    Country：Japan  

  • 曲線の可積分変形と渦糸の離散モデル Invited

    @梶原健司

    芝浦工業大学システム理工学部数理科学科談話会  2016.10 

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    Event date： 2016.10

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：芝浦工業大学大宮キャンパス   Country：Japan  

  • An approach to discrete differential geometry from integrable systems Invited International conference

    @Kenji Kajiwara

    Applied Mathematics Seminar  2016.9 

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    Event date： 2016.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • 渦糸方程式の離散化

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本応用数理学会 2015 年年会  2015.9 

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    Event date： 2016.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：金沢大学   Country：Japan  

  • Integrable deformation of plane curves Invited International conference

    @Kenji Kajiwara

    Applied Mathematics Seminar  2016.8 

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    Event date： 2016.8

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Australia  

  • An elementary introduction to discrete and ultradiscrete integrable models — disctete and ultradiscrete Burgers equations — Invited International conference

    2016.8 

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    Event date： 2016.8

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：La Trobe University, Melbourne, Victoria   Country：Australia  

  • Discrete conformal mappings, hypergeometric functions and Painlevé equations Invited International conference

    梶原健司

    2015.7 

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    Event date： 2016.7

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：Pusan National University   Country：Korea, Republic of  

    Other Link： http://uwcms.pusan.ac.kr/user/indexSub.action?codyMenuSeq=23381&siteId=bk21plusmath

  • An integrable discrte model of vortex filaments International conference

    @Kenji Kajiwara

    12th International Conference on Symmetries and Integrability of Difference Equations  2016.7 

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    Event date： 2016.7 - 2018.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Canada  

  • 渦糸の可積分離散モデル Invited

    @梶原健司

    IMI 短期共同研究「物理現象の演出可能な離散モデルの構築」  2016.6 

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    Event date： 2016.6 - 2018.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学マス・フォア・インダストリ研究所   Country：Japan  

  • Geometric Aspects of Painlevé Equations: A Brief Introduction. II Invited International conference

    NSF/CBMS Regional Research Conference on Discrete Painleve ́ Equations  2016.5 

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    Event date： 2016.5 - 2018.5

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：University of Texas Rio Grande Valley, Edinburg, Texas   Country：United States  

  • Geometric Aspects of Painlevé Equations: A Brief Introduction. I Invited International conference

    NSF/CBMS Regional Research Conference on Discrete Painleve ́ Equations  2016.5 

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    Event date： 2016.5 - 2018.5

    Language：English   Presentation type：Oral presentation (invited, special)  

    Venue：University of Texas Rio Grande Valley, Edinburg, Texas   Country：United States  

  • A discrete model of vortex filaments Invited International conference

    @Kenji Kajiwara

    Discrete Integrable Systems  2016.4 

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    Event date： 2016.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • 離散空間曲線の運動に対する行列式解，Pfaffian 解

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本数学会2016年度年会  2016.3 

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    Event date： 2016.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：筑波大学   Country：Japan  

  • 渦糸方程式の離散化

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本数学会2016年度年会  2016.3 

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    Event date： 2016.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：筑波大学   Country：Japan  

  • 空間離散曲線の等距離等周変形 II: 渦糸方程式の離散化との関係

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本応用数理学会 2016 年研究部会連合発表会  2016.3 

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    Event date： 2016.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：神戸学院大学   Country：Japan  

  • 空間離散曲線の等距離等周変形 I: lattice Landau-Lifschitz 方程式による変形

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本応用数理学会 2016 年研究部会連合発表会  2016.3 

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    Event date： 2016.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：神戸学院大学   Country：Japan  

  • Integrable deformations of discrete curves Invited International conference

    Japan-Austria Joint Workshop: Transformations and Singularities  2016.2 

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    Event date： 2016.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discrete model of dynamics of vortex filaments International conference

    ANZIAM Conference 2016  2016.2 

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    Event date： 2016.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Discrete model of dynamics of vortex filament based on discrete integrable systems Invited

    Kobe Studio Seminar for Mathematics  2015.11 

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    Event date： 2015.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 渦糸方程式の離散化

    廣瀬三平, 井ノ口順一, 梶原健司, 松浦望, 太田泰広

    MIMS 共同研究集会「可積分系が拓く現象数理モデル」  2015.11 

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    Event date： 2015.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：明治大学   Country：Japan  

  • dNLS flow on discrete space curves International conference

    2015.9 

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    Event date： 2015.9 - 2016.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Integrable discrete deformations of discrete curves International conference

    International Congress of Industrial and Applied Mathematics (ICIAM2016)  2015.8 

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    Event date： 2015.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：China  

  • Integrable discrete deformations of discrete curves Invited International conference

    Computational and Geometric Approarches for Nonlinear Phenomena  2015.8 

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    Event date： 2015.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

    Other Link： http://www.f.waseda.jp/kmaruno/CGANP2015.html

  • Integrable discrete deformations of discrete plane curves and their application Invited International conference

    La Trobe-Kyushu Joint Seminar on Mathematics for Industry  2015.5 

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    Event date： 2015.5

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

    Other Link： http://www.imi.kyushu-u.ac.jp/seminars/view/1573

  • 平面離散曲線の等角変形と離散 Burgers 階層 II. 相似幾何における離散曲線の変形 Invited

    梶原健司, 黒田利信, 松浦望

    日本数学会2015年度年会  2015.3 

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    Event date： 2015.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：明治大学駿河台キャンパス   Country：Japan  

  • 平面離散曲線の等角変形と離散 Burgers 階層 I. Burgers および離散 Burgers 階層 Invited

    梶原健司, 黒田利信, 松浦望

    日本数学会2015年度年会  2015.3 

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    Event date： 2015.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：明治大学駿河台キャンパス   Country：Japan  

  • Integrable discrete deformations of discrete curves Invited International conference

    Kenji Kajiwara

    2015.1 

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    Event date： 2015.1

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discrete mKdV and discrete sine-Gordon flows on discrete space curves Invited International conference

    Kenji Kajiwara

    Workshop on Integrable Systems  2014.12 

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    Event date： 2014.12

    Language：English   Presentation type：Oral presentation (general)  

    Country：Australia  

  • Explicit formula and extension of the discrete power function associated with circle patterns of Schramm type International conference

    Hisashi Ando, Mike Hay, Kenji Kajiwara, Tetsu Masuda

    Mathematical Progress in Expressive Image Synthesis (MEIS2014)  2014.11 

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    Event date： 2014.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 自己適合移動格子スキームとミンコフスキー平面上の離散曲線の運動について

    丸野健一, 梶原健司, 井ノ口順一, 太田泰広, Bao-Feng Fen

    日本応用数理学会 2014 年度年会  2014.9 

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    Event date： 2014.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：政策研究大学大学院   Country：Japan  

  • 離散曲線の変形と離散可積分系 Invited

    梶原健司

    数理＊セミナー  2014.3 

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    Event date： 2014.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：早稲田大学   Country：Japan  

  • 平面曲線の等角変形と Burgers 階層

    梶原健司, 黒田利信, 松浦望

    第10回日本応用数理学会研究部会連合発表会  2014.3 

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    Event date： 2014.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大学   Country：Japan  

  • 離散 mKdV 方程式と離散 sine-Gordon 方程式による空間離散曲線の変形

    井ノ口順一, 梶原健司, 松浦望, 太田泰広

    日本数学会2014年度年会  2014.3 

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    Event date： 2014.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：学習院大学   Country：Japan  

  • 可積分系入門 Invited

    梶原健司

    ウィンタースクール「離散可積分系・離散微分幾何チュートリアル 2014」  2014.2 

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    Event date： 2014.2

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学マス・フォア・インダストリ研究所   Country：Japan  

  • 空間離散曲線の等周変形と離散 K 曲面

    井ノ口順一, 梶原健司, 松浦望, 太田泰広

    九州大学応用力学研究所共同利用研究集会「非線形波動研究の拡がり」  2013.10 

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    Event date： 2013.10 - 2013.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • Discrete mKdV flow on discrete space curves Invited International conference

    Kenji Kajiwara

    2013.10 

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    Event date： 2013.10

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discrete mKdV flow on discrete space curves

    2014.9 

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    Event date： 2013.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discrete mKdV flow on discrete space curves

    2013.9 

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    Event date： 2013.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Discrete mKdV flow on discrete space curves International conference

    Kenji Kajiwara

    2013.7 

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    Event date： 2013.7

    Language：English   Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • Some aspects of the Painlevé Systems Invited International conference

    2013.4 

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    Event date： 2013.4

    Language：English   Presentation type：Oral presentation (general)  

    Venue：Institute of Physics   Country：United Kingdom  

  • Some explicit formulas in discrete differential geometry Invited International conference

    Kenji Kajiwara

    The 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory  2013.3 

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    Event date： 2013.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：United States  

  • Some explicit formulas in discrete differential geometry Invited International conference

    Kenji Kajiwara

    The 8th IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory  2013.3 

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    Event date： 2013.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：United States  

  • Some explicit formulas in discrete differential geometry Invited International conference

    Kenji Kajiwara

    The 2nd China-Japan Joint Workkshop on Integrable Systems  2013.3 

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    Event date： 2013.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • ルート格子に付随するアフィンワイル群と離散力学系 Invited

    梶原 健司

    計測自動制御学会第13回制御部門大会  2013.3 

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    Event date： 2013.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：アクロス福岡   Country：Japan  

  • Is there anything left undone in mathematics? Invited International conference

    Kenji Kajiwara

    JSPS-US Alumini Association 3rd Multidisciplinary Science Forum  2013.2 

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    Event date： 2013.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：United States  

  • 空間変形の等周変形とτ函数による明示公式

    梶原 健司

    日本応用数理学会2012年度年会  2012.8 

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    Event date： 2012.8 - 2012.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：稚内全日空ホテル   Country：Japan  

  • Motion of Discrete Planar Curves in Euclidean and Similarity Geometries International conference

    Kenji Kajiwara

    Nonlinear Evolution Equations and Dynamical Systems (NEEDS2012)  2012.7 

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    Event date： 2012.7

    Language：English   Presentation type：Oral presentation (general)  

    Country：Greece  

  • Motion of Discrete Planar Curves in Euclidean and Similarity Geometries International conference

    Kenji Kajiwara

    Nonlinear Evolution Equations and Dynamical Systems (NEEDS2012)  2012.7 

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    Event date： 2012.7

    Language：English   Presentation type：Oral presentation (general)  

    Country：Greece  

  • Discretization of planar curve motions and discrete modified KdV equations International conference

    Kenji Kajiwara

    American Mathematical Society 2012 Spring Southeastern Section Meeting  2012.3 

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    Event date： 2012.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：United States  

  • Hirota-Satsuma の非線形ネットワーク方程式の双線形構造と解

    梶原 健司, 野見山直之

    日本応用数理学会2012年研究部会連合発表会  2012.3 

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    Event date： 2012.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学伊都キャンパス   Country：Japan  

  • 相似幾何における平面離散曲線の運動

    梶原 健司, 黒田利信

    日本応用数理学会2012年研究部会連合発表会  2012.3 

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    Event date： 2012.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学伊都キャンパス   Country：Japan  

  • 離散平面曲線の時間発展に現れる離散可積分系と離散ホドグラフ変換

    Baofeng Feng, 井ノ口順一，梶原健司，丸野健一，太田泰広

    日本応用数理学会2011年度年会  2011.9 

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    Event date： 2011.9

    Presentation type：Oral presentation (general)  

    Venue：同志社大学   Country：Japan  

  • An explicit formula for the discrete power function associated with circle patterns of Schramm type Invited International conference

    Kenji Kajiwara

    Discrete integrable systems  2011.7 

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    Event date： 2011.7

    Presentation type：Oral presentation (general)  

    Country：Netherlands  

  • Motion and Bäcklund transformations of plane discrete curves International conference

    2011.7 

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    Event date： 2011.7

    Presentation type：Oral presentation (general)  

    Venue：Glasgow University, Glasgow   Country：United Kingdom  

  • Discrete Integrable Systems and Dynamics of Planar Discrete Curves Invited

    Kenji Kajiwara

    The Eve of IMI & FM, Ito One Day Workshop - Building a Bridge between Mathematics and Physics  2011.3 

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    Event date： 2011.3

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • 平面離散曲線の edge tangential flow と semi-discrete mKdV 方程式

    井ノ口順一，梶原健司，松浦望，太田泰広

    日本数学会  2011.3 

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    Event date： 2011.3

    Presentation type：Oral presentation (general)  

    Venue：早稲田大学   Country：Japan  

  • Motion and Bäcklund transformations of plane discrete curves Invited

    2011.2 

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    Event date： 2011.2

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：University of Texas Pan American   Country：United States  

  • Motion and Bäcklund transformations of plane discrete curves Invited International conference

    2010.12 

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    Event date： 2010.12

    Venue：東京大学大学院数理科学研究科   Country：Japan  

  • semi-discrete modified KdV 方程式の解と平面離散曲線の連続的運動

    井ノ口順一，梶原健司，松浦望，太田泰広

    非線形波動研究の新たな展開ー現象とモデル化  2010.10 

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    Event date： 2010.10

    Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • 平面離散曲線の運動とBäcklund変換 Invited

    梶原健司

    東北大学幾何セミナー  2010.10 

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    Event date： 2010.10

    Presentation type：Oral presentation (general)  

    Venue：東北大学   Country：Japan  

  • 平面折線の運動その２：Bäcklund変換と厳密解 International conference

    井ノ口順一，梶原健司，松浦望，太田泰広

    日本数学会  2010.9 

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    Event date： 2010.9

    Presentation type：Oral presentation (general)  

    Venue：名古屋大学   Country：Japan  

  • Ultradiscretization of two-dimensional solvable chaotic map associated with the Hesse cubic curve International conference

    Kenji Kajiwara

    9th Workshop on Symmetries and Integrability of Difference Equations  2010.6 

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    Event date： 2010.6

    Presentation type：Oral presentation (general)  

    Country：Bulgaria  

  • Ultradiscretization of solvable chaotic systems Invited International conference

    Kenji Kajiwara

    Symmetry Plus Integrability 2010  2010.6 

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    Event date： 2010.6

    Presentation type：Oral presentation (general)  

    Country：United States  

  • Discrete Schwarzian KP 方程式の双線形化と簡約

    Micheal Hay，梶原健司

    日本数学会年会  2010.3 

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    Event date： 2010.3

    Presentation type：Oral presentation (general)  

    Venue：慶応大学   Country：Japan  

  • Ultradiscretization of solvable chaotic systems Invited International conference

    Kenji Kajiwara

    China-Japan Joint workshop on Integrable Systems  2010.1 

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    Event date： 2010.1

    Presentation type：Oral presentation (general)  

    Country：China  

  • 可解カオス系の超離散化

    梶原健司，金子昌信，野邊厚，津田照久

    九州大学応用力学研究所研究集会 「非線形波動研究の現状と将来」  2009.11 

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    Event date： 2009.11

    Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • Hesse の3次曲線に付随する2次元可解カオス系の超離散化

    梶原健司，金子昌信，野邊厚，津田照久

    日本数学会2009年度秋季総合分科会  2009.9 

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    Event date： 2009.9

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • q-パンルヴェ方程式の対称化とその超幾何解(I)

    梶原健司，中園信孝，津田照久

    日本数学会年会  2009.3 

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    Event date： 2009.3

    Presentation type：Oral presentation (general)  

    Venue：東京大学大学院数理科学研究科   Country：Japan  

  • q-パンルヴェ方程式の対称化とその超幾何解(II)

    梶原健司，中園信孝，津田照久

    日本数学会年会  2009.3 

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    Event date： 2009.3

    Presentation type：Oral presentation (general)  

    Venue：東京大学大学院数理科学研究科   Country：Japan  

  • q-パンルヴェ方程式の対称化とその超幾何解

    梶原健司，中園信孝，津田照久

    超幾何方程式研究会2009  2009.1 

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    Event date： 2009.1

    Presentation type：Oral presentation (general)  

    Venue：神戸大学   Country：Japan  

  • q-パンルヴェ方程式の対称化とその超幾何解 Invited

    梶原健司，中園信孝，津田照久

    青山数理セミナー  2008.12 

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    Event date： 2008.12

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Venue：青山学院大学理工学部   Country：Japan  

  • q-パンルヴェ方程式の対称化

    梶原健司，中園信孝，津田照久

    非線形波動の数理と物理  2008.11 

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    Event date： 2008.11

    Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • 1 次元可解カオス系の超離散化とトロピカル幾何

    梶原健司，野邊厚，津田照久

    日本数学会秋季総合分科会  2008.9 

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    Event date： 2008.9

    Presentation type：Oral presentation (general)  

    Venue：東京工業大学   Country：Japan  

  • Non-autonomous discrete KdV 方程式の双線形化と Casorati 行列式解

    梶原健司，太田泰広

    日本数学会秋季総合分科会  2008.9 

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    Event date： 2008.9

    Presentation type：Oral presentation (general)  

    Venue：東京工業大学   Country：Japan  

  • 1+1 次元不等間隔差分ソリトン系の双線形化 Invited

    梶原健司

    可積分数理の拡がり  2008.8 

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    Event date： 2008.8

    Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • 1 次元可解カオス力学系の超離散化とトロピカル幾何 Invited

    梶原健司

    龍谷数理解析セミナー  2008.7 

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    Event date： 2008.7

    Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • 1次元可解カオス系の超離散化とトロピカル幾何 Invited

    梶原健司，野邊厚，津田照久

    完全WKB解析と超局所解析  2008.5 

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    Event date： 2008.5

    Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • 1次元可解カオス力学系の超離散化とトロピカル幾何 Invited

    梶原健司，野邊厚，津田照久

    九州可積分系セミナー  2008.3 

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    Event date： 2008.3

    Presentation type：Oral presentation (general)  

    Venue：九州大学理学部   Country：Japan  

  • 不等間隔差分KdV方程式の双線形化とソリトン解 Invited

    梶原健司，太田泰広

    ソリトンの数理とその応用：非線形波動から可積分系へ  2007.12 

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    Event date： 2007.12

    Presentation type：Oral presentation (general)  

    Venue：湯田簡易保険保養センター   Country：Japan  

  • Hypergeometric solutions to the Painlevé systems Invited International conference

    2007.12 

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    Event date： 2007.12

    Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • Painlevé系の超幾何解

    梶原健司

    戸田格子40周年：非線形波動研究の歩みと展望  2007.11 

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    Event date： 2007.11

    Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • Hypergeometric solutions to the Painlevé systems International conference

    2007.10 

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    Event date： 2007.10

    Presentation type：Oral presentation (general)  

    Venue：福岡リーセントホテル   Country：Japan  

  • Hypergeometric solutions to the discrete Painleve equations of additive E type

    2007.9 

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    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Perturbed Volterra latticeの解の構造

    丸野健一，梶原健司，及川正行

    日本物理学会第５３回年会  1998.3 

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    Presentation type：Oral presentation (general)  

    Venue：東邦大学  

  • Multiplicative Discrete Painlev\'e II 方程式の解と超離散極限

    梶原健司，中尾真一郎，高橋大輔

    日本数学会１９９８年会  1998.3 

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    Presentation type：Oral presentation (general)  

    Venue：名城大学  

  • Rational Solutions to d-PIV International conference

    Jarmo Hietarinta and Kenji Kajiwara

    1998.5 3rd Workshop on Symmetries and Integrability of Difference Equations  1998.5 

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    Presentation type：Oral presentation (general)  

    Country：Italy  

  • Exact Solutions for the Multiplicative Discrete Painlev\'e II Equation and Their Ultradiscrete Limit International conference

    Kenji Kajiwara, Shinichiro Nakao and Daisuke Takahashi

    Workshop on Symmetries and Integrability of Difference Equations  1998.5 

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    Presentation type：Oral presentation (general)  

    Country：Italy  

  • 第4種離散パンルベ方程式の有理解

    Jarmo Hietarinta, 梶原健司

    日本物理学会秋の分科会  1998.9 

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    Presentation type：Oral presentation (general)  

    Venue：琉球大学  

  • Lattice Boussinesq 方程式に対する特異点閉じ込めテスト

    丸野健一，梶原健司，及川正行

    日本物理学会秋の分科会  1998.9 

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    Presentation type：Oral presentation (general)  

    Venue：琉球大学  

  • Darboux Transformation for Painlev\'e XXXIV Equation and Painlev\'e II Equation

    1998.11 

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    Presentation type：Oral presentation (general)  

  • Discrete Potential Soliton 方程式と特異点閉じ込め

    丸野健一，梶原健司，及川正行

    研究集会「ソリトン理論の新展開」  1998.11 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • 超離散系に対する可積分性判定の試み

    梶原健司，高橋大輔

    研究集会「ロトカ・ボルテラ方程式」  1998.12 

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    Presentation type：Oral presentation (general)  

    Venue：大阪大学  

  • Painlev\'e II および XXXIV 方程式の解の行列式表示の一般化

    増田哲，梶原健司

    超幾何系ワークショップ in 神戸 '98  1998.12 

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    Presentation type：Oral presentation (general)  

    Venue：神戸大学  

  • 特異点閉じ込めテストとパンルベテストの関係

    丸野健一，梶原健司，及川正行

    日本物理学会第５４回年会  1999.3 

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    Presentation type：Oral presentation (general)  

    Venue：広島大学  

  • 超離散系に対する可積分性判定の試み

    梶原健司，高橋大輔

    日本物理学会第５４回年会  1999.3 

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    Presentation type：Oral presentation (general)  

    Venue：広島大学  

  • Painlev'e IIおよびXXXIV方程式の解の行列式表示の一般化

    増田哲，梶原健司

    日本物理学会第５４回年会  1999.3 

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    Presentation type：Oral presentation (general)  

    Venue：広島大学  

  • Painlev\'e 方程式の有理解に対する Schur 関数型表示

    梶原健司，増田哲

    京都大学数理解析研究所短期共同研究「離散可積分系に関する最近の話題」  1999.7 

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    Presentation type：Oral presentation (general)  

    Venue：京都大学  

  • A Generalization of Determinant Formulae for the Painlev\'e II Equation International conference

    Kenji Kajiwara and Tetsu Masuda

    Workshop on Integrable Systems and Nonlinear Dynamical Systems  1999.7 

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    Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • パンルヴェ III 方程式の有理解

    増田哲，梶原健司

    日本物理学会秋の分科会  1999.9 

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    Presentation type：Oral presentation (general)  

    Venue：岩手大学  

  • 超離散系における特異点閉じ込めテスト

    梶原健司，高橋大輔，西成活裕，松木平淳太

    研究集会「非線形波動のメカニズム -- 現象とモデルの数理構造」  1999.11 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • Discrete Toda Equations and Discrete Painlev\'e II Equations

    1999.11 

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    Presentation type：Oral presentation (general)  

  • Determinant Formula for the Toda Equation and Its Application to the Painlev\'e Equations International conference

    Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi, Yasuhiro Ohta and Yasuhiko Yamada

    Kruskal 2000 Conference on Integrable Systems  2000.1 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • 離散戸田方程式と離散パンルヴェII方程式

    増田哲，梶原健司

    日本物理学会春の分科会  2000.3 

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    Presentation type：Oral presentation (general)  

    Venue：関西大学  

  • 超離散系における特異点閉じ込めテスト

    梶原健司，高橋大輔，西成活裕，松木平淳太

    日本物理学会春の分科会  2000.3 

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    Presentation type：Oral presentation (general)  

    Venue：関西大学  

  • 徒手空拳状態からの離散パンルヴェ方程式入門

    梶原健司

    函数方程式サマーセミナー  2000.7 

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    Presentation type：Oral presentation (general)  

    Venue：長野県北安曇郡白馬村  

  • Classical Solutions for Painlev\'e and Discrete Painlev\'e Equations International conference

    Kenji Kajiwara

    International Workshop on Physics and Combinatorics  2000.7 

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    Presentation type：Oral presentation (general)  

  • A{(1)}n 型 affine Weyl 群対称性を持つq-差分パンルベ方程式

    梶原健司，野海正俊，山田泰彦

    日本物理学会秋の分科会  2000.9 

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    Presentation type：Oral presentation (general)  

    Venue：新潟大学  

  • Symmetry of $q$-Painlev\'e IV Equation, II International conference

    Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada

    4th International Workshop on Symmetries and Integrability of Difference Equations  2000.11 

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    Presentation type：Oral presentation (general)  

  • q-Painlev\'e IV 方程式の対称性と古典解

    梶原健司

    研究集会 「組合せ論・表現論とその周辺」  2001.1 

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    Presentation type：Oral presentation (general)  

    Venue：岡山大学  

  • q-Painlev\'e III 方程式の特殊解

    梶原健司，木村欣司

    日本数学会2001年度秋季総合分科会  2001.9 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • On the discrete dynamical systems with W(A^{(1)}_2\times A^{(1)}_1) symmetry International conference

    Kenji Kajiwara, Masatoshi Noumi and Yasuhiko Yamada

    EuroWorkshop --Discrete Systems and Integrability--  2001.9 

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    Presentation type：Oral presentation (general)  

    Country：United Kingdom  

  • q-Painlev\'e III 方程式: 対称性・特殊解・一般化

    梶原健司，木村欣司

    研究集会「非線形波動現象の理論と応用」  2001.11 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • パンルヴェ第二方程式の有理解の母関数

    梶原健司，岩崎克則，中村俊哉

    日本数学会2002年度年会  2002.3 

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    Presentation type：Oral presentation (general)  

    Venue：明治大学  

  • Yablonski-Vorob'ev 多項式の母函数

    梶原健司，岩崎克則，中村俊哉

    日本物理学会第５７回年次大会  2002.3 

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    Presentation type：Oral presentation (general)  

    Venue：立命館大学  

  • パンルヴェ・離散パンルヴェ方程式の古典解と階層構造 Invited

    梶原健司

    計算代数セミナー  2002.7 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • Generating functions associated with the algebraic solutions of the Painlev\'e equation Invited International conference

    Kenji Kajiwara

    NATO Advanced Research Workshop ``Bilinear Integrable Systems: from Classical to Quantum, Continuous to Discrete''  2002.9 

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    Presentation type：Oral presentation (general)  

    Country：Italy  

  • 離散パンルヴェ方程式の理論：現状と展望 Invited

    梶原健司

    研究集会「非線形波動および非線形力学系に関する最近の話題」  2002.11 

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    Presentation type：Oral presentation (invited, special)  

    Venue：九州大学  

  • E_6^{(1)} 型 $q$-Painlev\'e 方程式の特殊解

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    日本数学会2003年度年会  2003.3 

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    Presentation type：Oral presentation (general)  

    Venue：東京大学  

  • Hypergeometric solutions to the discrete Painleve equations Invited

    K. Kajiwara, T. Masuda, M. Noumi, Y. Ohta and Y. Yamada

    Applied Mathematics Seminar  2003.8 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • 離散パンルヴェ方程式の超幾何解

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    研究集会「ソリトン物理─過去・現在・未来」  2003.9 

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    Presentation type：Oral presentation (general)  

    Venue：島根県隠岐郡五箇村  

  • 楕円差分パンルヴェ方程式の超幾何解

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    日本物理学会２００３年度秋季大会  2003.9 

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    Presentation type：Oral presentation (general)  

    Venue：岡山大学  

  • Okamoto 多項式に付随する母函数

    後藤弘道，梶原健司

    研究集会「非線形波動および非線形力学系の数理とその応用」  2003.11 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学  

  • 離散パンルヴェ方程式とその超幾何函数解

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    研究集会「複素領域の微分方程式」  2004.1 

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    Presentation type：Oral presentation (general)  

    Venue：神戸大学  

  • q差分 Painleve 方程式系列のRiccati解

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    日本数学会２００４年度年会  2004.3 

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    Presentation type：Oral presentation (general)  

    Venue：筑波大学  

  • Painleve II 方程式の解のHankel行列式表示に付随する母函数

    N. Joshi, 梶原健司，M. Mazzocco

    日本数学会２００４年度年会  2004.3 

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    Presentation type：Oral presentation (general)  

    Venue：筑波大学  

  • q-パンルヴェ方程式の超幾何解 Invited

    梶原健司，増田哲，野海正俊，太田泰広，山田泰彦

    京都大学数理解析研究所 短期共同研究「可積分系数理の展望と応用」  2004.8 

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    Presentation type：Oral presentation (general)  

    Venue：京都大学数理解析研究所   Country：Japan  

  • q-Painlev\'e II 方程式の超幾何解の行列式構造

    濱本太郎，梶原健司

    研究集会「非線形波動の物理と数理構造」  2004.11 

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    Presentation type：Oral presentation (general)  

    Venue：九州大学応用力学研究所   Country：Japan  

  • A geometric approach to the q-Painlev\'e equations and their hypergeometric solutions Invited International conference

    Kenji Kajiwara

    MASCOS Workshop on Algebraic Dynamics  2005.2 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • $(A_1+A_1')^{(1)}$ 型$q$-Painlev\'e 方程式の超幾何解と連続極限

    濱本太郎，梶原健司，Nicholas S. Witte

    日本数学会2006年度年会  2005.3 

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    Presentation type：Oral presentation (general)  

    Venue：中央大学理工学部   Country：Japan  

  • Symmetries and hypergeometric solutions for the discrete Painlev\'e equation Invited International conference

    Kenji Kajiwara

    The Third Pacific Rim Conference on Mathematics  2005.8 

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    Presentation type：Oral presentation (invited, special)  

    Country：China  

  • Symmetries and hypergeometric solutions for the q-Painlev\'e equation Invited International conference

    Kenji Kajiwara

    Workshop "Integrable Day"  2005.8 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • An elementary introduction to the discrete Painlev\'e equations Invited

    Kenji Kajiwara

    Joint Colloquium of University of Sydney and University of New South Wales  2005.9 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • Generating functions associated with Hankel determinant formulas for solution of Painlev\'e and Toda equations Invited

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    2005.10 

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    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Generating functions associated with Hankel determinant formulas for solution of Painlev\'e and Toda equations Invited International conference

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    2005.10 

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    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Generating functions associated with Hankel determinant formulas for solution of Painlev\'e and Toda equations

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    2005.11 

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    Country：Japan  

  • Generating functions associated with Hankel determinant formulas for solution of Painlev\'e and Toda equations Invited International conference

    Nalini Joshi, Kenji Kajiwara and Marta Mazzocco

    Kobe workshop on integrable systems and Painlev\'e systems  2005.11 

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    Presentation type：Oral presentation (general)  

    Country：Japan  

  • $(A_1+A_1')^{(1)}$ 型 q-Painlev\'e 方程式の超幾何解と連続極限

    濱本太郎，梶原健司，Nicholas S. Witte

    平成18年日本応用数理学会研究部会・連合発表会  2006.3 

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    Presentation type：Oral presentation (general)  

    Venue：早稲田大学理工学部   Country：Japan  

  • Hypergeometric solutions to the q-Painleve equation of type $(A_1+A_1')^{(1)}$ Invited International conference

    Taro Hamamoto, Kenji Kajiwara and Nicholas S. Witte

    Algebraic, analytic and geometric aspects of complex differential equations and their deformations. Painlev\'e hierarchies  2006.5 

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    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Hypergeometric solutions to the q-Painleve equation of type $(A_1+A_1')^{(1)}$ Invited International conference

    Taro Hamamoto, Kenji Kajiwara and Nicholas S. Witte

    7th Workshop on Symmetries and Integrability of Difference Equations  2006.7 

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    Presentation type：Oral presentation (general)  

    Country：Australia  

  • Toda 方程式の解に対するHankel determinant formula と補助線形問題

    Nalini Joshi, 梶原健司, Marta Mazzocco, 太田泰広

    日本数学会2006年秋季総合分科会  2006.9 

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    Presentation type：Oral presentation (general)  

    Venue：大阪市立大学   Country：Japan  

  • Hypergeometric solutions to the q-Painleve II equation and their continuous limit International conference

    Kenji Kajiwara, Taro Hamamoto and Nicholas S. Witte

    SIAM conference on nonlinear waves and coherent structure  2006.9 

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    Presentation type：Oral presentation (general)  

    Country：United States  

  • An elementary introduction to the Painleve systems Invited International conference

    Kenji Kajiwara

    Mathematics Colloquium  2007.3 

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    Presentation type：Oral presentation (invited, special)  

    Country：United States  

  • A Remark on the Hankel Determinant Formula for the Solution of the Toda Equation International conference

    Kenji Kajiwara

    ISLAND 3: algebraic aspects of integrable systems  2007.7 

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    Presentation type：Oral presentation (general)  

    Country：United Kingdom  

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MISC

  • 大学新入生の数学の学力--九州大学新入生数学基礎学力調査の結果より

    梶原健司

    科学，岩波書店   2010.11

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • ICIAM2023 の運営から見えた光景 Reviewed

    梶原健司

    応用数理   2024.3

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    Language：Japanese  

  • Forum “Math-for-Industry” 2023 – MfI2.0 – 開催報告

    梶原健司

    数学通信   2023.11

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    Language：Japanese  

  • 設計の新パラダイムを拓く新しい離散的な曲面の幾何学

    梶原健司

    2023年度日本建築学会大会（近畿）構造部門（シェル・空間構造）パネルディスカッション資料   2023.9

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    Language：Japanese  

  • The Challenge of Developing Mathematics for Industry

    Kenji Kajiwara

    Tokyo Intelligencer   2023.8

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    Language：English  

    The Challenge of Developing Mathematics for Industry

  • Sine-Gordon方程式の解法とその離散化

    宇田川 誠一, 井ノ口 順一, 梶原 健司

    日本大学医学部一般教育研究紀要 / 日本大学医学部一般教育 編   2022.12

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    Language：Japanese  

  • 「幾何学的形状生成」研究部会の活動状況 Reviewed

    @梶原健司

    2021.6

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

    Other Link： https://jom.jsiam.org/?article=I2103A

  • 諸科学に飛び出す可積分系

    @梶原健司

    数学セミナー   2019.2

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  • IMIオーストラリア分室便り：IMIオーストラリア分室のこれから

    @梶原健司

    数学セミナー   2017.3

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  • IMIオーストラリア分室便り：オーストラリアの数学研究事情(2)

    @梶原健司

    数学セミナー   2017.2

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  • IMIオーストラリア分室便り：オーストラリアの研究事情

    @梶原健司

    数学セミナー   2017.1

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  • IMIオーストラリア分室便り：オーストラリアの学生たち

    @梶原健司

    数学セミナー   2016.12

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  • IMIオーストラリア分室便り：ミッション「分室を設置せよ」(4）

    @梶原健司

    数学セミナー   2016.11

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  • IMIオーストラリア分室便り：ミッション「分室を設置せよ」(3)

    @梶原健司

    数学セミナー   2016.10

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  • ＩＭＩオーストラリア分室便り：ミッション「分室を設置せよ」(2)

    梶原 健司

    数学セミナー   2016.9

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  • ＩＭＩオーストラリア分室便り：ミッション「分室を設置せよ」(1)

    梶原 健司

    数学セミナー   2016.8

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  • ＩＭＩオーストラリア分室便り：メルボルンで国際化の光と影について考えさせられる

    梶原 健司

    数学セミナー   2016.7

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  • ＩＭＩオーストラリア分室便り：キャンベラで改めてマス・フォア・インダストリを考える

    梶原 健司

    数学セミナー   2016.6

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  • ＩＭＩオーストラリア分室便り：真夏のアデレードで産業の問題に取り組む

    梶原 健司

    数学セミナー   2016.5

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  • ＩＭＩオーストラリア分室便り：マス・フォア・インダストリをオーストラリアで

    梶原 健司

    数学セミナー   2016.4

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  • 離散mKdVおよび離散サイン・ゴルドン方程式による空間離散曲線の変形 (Novel Development of Nonlinear Discrete Integrable Systems)

    井ノ口 順一, 梶原 健司, 松浦 望, 太田 泰広

    数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu   2014.6

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    "Novel Development of Nonlinear Discrete Integrable Systems". September 2～4, 2013. edited by Junta Matsukidaira. The papers presented in this volume of RIMS Kokyuroku Bessatsu are in final form and refereed.

  • 日本応用数理学会 2013 年度年会(福岡)開催報告

    梶原 健司

    2014.3

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    Other Link： http://jom.jsiam.org/3271

  • 応用数理の拠点を目指して

    梶原 健司

    応用数理   2014.3

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  • 九州大学マス・フォア・インダストリ研究所の拠点認定と今後の展開

    梶原 健司

    2013.9

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    Other Link： http://jom.jsiam.org/3156

  • 平面曲線の等周変形の離散モデルと離散可積分系

    梶原健司

    MI レクチャーノート「科学・技術の研究課題への数学アプローチー数学モデリングの基礎と展開」   2013.3

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  • 可積分系入門

    梶原健司

    MI レクチャーノート「離散可積分系・離散微分幾何チュートリアル2012」   2012.3

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    Language：Japanese  

  • 大学新入生の数学の学力--九州大学新入生数学基礎学力調査の結果より

    梶原 健司

    科学   2010.11

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    Language：Japanese  

  • ソリトンと逆散乱法:歴史的視点から (２)

    Robert Miura, 梶原 健司, 及川正行

    数学セミナー   2008.9

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  • ソリトンと逆散乱法--歴史的視点から(2)

    MiuraRobert M, 梶原健司, 及川正行

    数学セミナー   2008.9

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    Language：Japanese  

  • ソリトンと逆散乱法:歴史的視点から (1)

    Robert Miura, 梶原 健司, 及川正行

    数学セミナー   2008.8

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    Language：Japanese  

  • ソリトンと逆散乱法--歴史的視点から(1)

    MiuraRobert M, 梶原健司, 及川正行

    数学セミナー   2008.8

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    Language：Japanese  

  • 戸田格子--新しい研究のゆりかご (特集 戸田格子40年)

    梶原 健司

    数学セミナー   2008.3

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  • 戸田格子ー新しい研究のゆりかごー

    梶原健司

    数学セミナー   2008.2

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  • 佐藤幹夫講義録

    梶原健司

    数学セミナー   2007.7

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  • 広田良吾・高橋大輔：差分と超離散

    梶原健司

    数学   2004.7

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  • 書評 広田良吾・高橋大輔:差分と超離散

    梶原 健司

    数学   2004.7

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  • 可積分系 -- 不思議な波が運ぶ奇跡とからくり --

    梶原健司

    数学セミナー   2004.1

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  • 可積分系/不思議な波が運ぶ奇跡とからくり (特集 大学で学ぶ数学(Part2))

    梶原 健司

    数学セミナー   2004.1

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  • 25pXB-6 Yablonski-Vorob'ev多項式の母函数(25pXB 古典・量子可積分系,領域11(統計力学,物性基礎論,応用数学,力学,流体物理分野))

    岩崎 克則, 梶原 健司, 中村 俊哉

    日本物理学会講演概要集   2002.3

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    Language：Japanese  

  • パンルヴェ方程式

    梶原健司

    数学セミナー   2001.7

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    Language：Japanese   Publishing type：Book review, literature introduction, etc.  

  • 超離散系の可積分性・非可積分性

    梶原健司

    数理科学   1999.9

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  • 超離散系の可積分性・非可積分性 (特集 超離散--進展する数理モデルのデジタル化)

    梶原 健司

    数理科学   1999.9

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  • 26pV-13 Painleve III方程式の有理解

    増田 哲, 梶原 健司

    日本物理学会講演概要集   1999.9

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  • 30p-P-3 特異点閉じ込めテストとパンルペテストの関係

    丸野 健一, 梶原 健司, 及川 正行

    日本物理学会講演概要集   1999.3

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  • On integrability test for ultradiscrete equations

    Daisuke Takahashi, Kenji Kajiwara

    1999.3

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    On integrability test for ultradiscrete equations
    We consider an integrability test for ultradiscrete equations based on the<br />
    singularity confinement analysis for discrete equations. We show how<br />
    singularity pattern of the test is transformed into that of ultradiscrete<br />
    equation. The ultradiscrete solution pattern can be interpreted as a perturbed<br />
    solution. We can also check an integrability of a given equation by a<br />
    perturbation growth of a solution, namely Lyapunov exponent. Therefore,<br />
    singularity confinement test and Lyapunov exponent are related each other in<br />
    ultradiscrete equations and we propose an integrability test from this point of<br />
    v...

  • 30p-P-4 Painleve IIおよびXXXIV方程式の解の行列式表示の一般化

    増田 哲, 梶原 健司

    日本物理学会講演概要集   1999.3

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  • パンルヴェ方程式の対称性

    梶原健司

    数学セミナー   1999.2

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  • パンルヴェ方程式の対称性 (特集 対称性ってなんだろう)

    梶原 健司

    数学セミナ-   1999.2

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  • エンドユーザの賢い数式処理ソフト選び ---Reduce・Mathematica・Maple V---

    梶原健司

    数理科学   1998.11

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  • エンドユ-ザの賢い数式処理ソフト選び--Reduce vs. Mathematica・Maple V (特集 数式処理とその周辺--最新事情からソフトの評価・応用まで)

    梶原 健司

    数理科学   1998.11

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  • 30p-YW-1 Perturbed Volterra latticeの解の構造

    丸野 健一, 梶原 健司, 及川 正行

    日本物理学会講演概要集   1998.3

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  • 7p-YB-5 第2種パンルベ方程式の特殊関数解

    中尾 真一郎, 梶原 健司, 高橋 大輔

    日本物理学会講演概要集   1997.9

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  • 28p-WD-11 SCを用いたDiscrete Relativistic Toda LatticeのBilinear Form と解の構成

    丸野 健一, 梶原 健司, 及川 正行

    日本物理学会講演概要集   1997.3

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  • 電子メ-ル討論 ひろがる可積分系の世界--戸田方程式の30年 (ひろがる可積分系の世界--戸田方程式の30年)

    中村 佳正, 高崎 金久, 梶原 健司

    数理科学   1997.3

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  • 28p-WD-9 全変数不等間隔差分型戸田方程式について

    永井 敦, 梶原 健司, 時弘 哲治, 薩摩 順吉

    日本物理学会講演概要集   1997.3

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  • SCによる離散ソリトン方程式の双線形化

    丸野 健一, 梶原 健司, 中尾 真一郎, 及川 正行

    日本物理学会講演概要集. 秋の分科会   1996.9

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  • 第2種離散型パンルベ方程式の代数解

    梶原 健司, 太田 泰広, 山本 和志

    日本物理学会講演概要集. 秋の分科会   1996.9

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  • 31a-G-7 離散型パンルベ方程式 : その導出と数学的構造

    梶原健司

    日本物理学会講演概要集. 年会   1995.3

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  • 離散型パンルベ方程式とその周辺(非線形可積分系による応用解析)

    梶原健司, 太田泰広, 薩摩順吉

    数理解析研究所講究録   1994.10

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  • 離散型パンルベ方程式とその解(非線型可積分系の研究の現状と展望)

    梶原 健司, 薩摩 順吉, 太田 康広

    数理解析研究所講究録   1994.4

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  • 15p-P-4 第2種の離散型パンルベ方程式の解

    梶原 健司, 太田 泰広, 薩摩 順吉

    日本物理学会講演概要集. 秋の分科会   1993.9

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  • 30a-Z-8 パンルベ方程式の双線形構造(応用数学・力学・流体物理)

    梶原 健司, 中村 明, 太田 泰広, 薩摩 順吉

    日本物理学会講演概要集. 年会   1993.3

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  • 28a-G-6 q-差分戸田分子方程式とそのBacklund変換

    梶原 健司, 薩摩 順吉

    秋の分科会講演予稿集   1992.9

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  • 30a-J-6 二次元戸田方程式のあるq-差分化

    梶原 健司, 薩摩 順吉

    年会講演予稿集   1991.9

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  • 25a-L-1 相対論的戸田方程式

    薩摩 順吉, 梶原 健司, 松木平 淳太, J Hietarinta

    春の分科会講演予稿集   1991.3

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  • 5p-J-2 非線型差分方程式のヒエラルキー

    梶原 健司, 薩摩 順吉

    秋の分科会講演予稿集   1990.9

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  • 31p-Q-3 二次元戸田格子方手呈式系の保存量と対称性

    梶原 健司, 薩摩 順吉

    年会講演予稿集   1990.3

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  • 5a-ZD-10 多成分KP方程式系の構造

    梶原 健司, 薩摩 順吉, 松木平 淳太

    秋の分科会講演予稿集   1989.9

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    Language：Japanese  

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Professional Memberships

  • Australian Mathematical Society

  • Australian and New Zealand Association of Mathematical Physics

  • Australian and New Zealand Industrial and Applied Mathematics

  • Society for Industrial and Applied Mathematics

  • 日本数学会

  • 日本応用数理学会

  • Australian Mathematical Society

  • Society for Industrial and Applied Mathematics

  • Asia Pacific Consortium of Mathematics for Industry

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Committee Memberships

  • International Council for Industrial and Applied Mathematics   Executive   Foreign country

    2023.9 - 2027.8   

  • International Council for Industrial and Applied Mathematics   Offcer-at-Large   Foreign country

    2023.9 - 2027.8   

  • Executive   Domestic

    2022.6 - 2024.6   

  • Asia Pacific Consortium of Mathematics for Industry   Executive   Foreign country

    2021.5 - 2024.3   

  • Asia Pacific Consortium of Mathematics for Industry   Secretary   Foreign country

    2021.5 - 2024.3   

  • International Council for Industrial and Applied Mathematics   JSIAM Representative   Foreign country

    2020.9 - 2023.9   

  • Vice-chairman   Domestic

    2020.6 - 2022.6   

  • 日本応用数理学会   幾何学的形状生成研究部会幹事   Domestic

    2020.4 - 2021.6   

  • 日本応用数理学会   国際活動委員会委員   Domestic

    2016.8 - Present   

  • Executive   Domestic

    2012.5 - 2014.5   

  • Councilor   Domestic

    2011.4 - 2012.3   

  • 日本数学会   無限可積分系セッション責任者   Domestic

    2008.4 - 2010.3   

  • 日本応用数理学会   応用可積分系部会委員   Domestic

    2006.11 - Present   

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Academic Activities

  • 実行委員 International contribution

    （ メルボルン，オンライン ） 2022.11

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    Type：Competition, symposium, etc. 

    Number of participants：65

  • Ｉｎｖｉｔｅ speakers committee International contribution

    （ ハノイ，オンライン ） 2021.12

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    Type：Competition, symposium, etc. 

    Number of participants：80

  • 実行委員

    第66回国立大学附置研究所・センター会議第１部会シンポジウム「数学のチカラ」  （ オンライン，福岡 ） 2021.9

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    Type：Competition, symposium, etc. 

    Number of participants：300

  • 実行委員 International contribution

    Kyushu-Illinois Strategic Partnership Colloquia Series #2 "Ｍａｔｈｅｍａｔｉｃｓ without Borders - Applied and Applicable"  （ アーバナシャンペーン（米国），福岡，オンライン ） 2021.3

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    Type：Competition, symposium, etc. 

    Number of participants：55

  • 実行委員長 International contribution

    設計の新パラダイムを拓く離散的な曲面の幾何学  （ 鹿児島大学 ） 2020.3

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    Type：Competition, symposium, etc. 

  • 世話人 International contribution

    幾何学的視点からの形状形成  （ 東京工業大学 ） 2020.2

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    Type：Competition, symposium, etc. 

  • 実行委員 International contribution

    2019.11

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    Type：Competition, symposium, etc. 

    Number of participants：60

  • ミニシンポジウムオーガナイザー（2件9セッション） International contribution

    2019.7

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    Type：Competition, symposium, etc. 

    Number of participants：5,000

  • International Journal of Mathematics for Industry International contribution

    2019.1 - Present

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    Type：Academic society, research group, etc. 

  • 実行委員長 International contribution

    （ JR博多駅シティ会議室 ） 2018.11

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    Type：Competition, symposium, etc. 

    Number of participants：150

  • 組織委員

    2018 年度精密工学会春季大会 AIMaP 数学応用シンポジウム 「精密工学と幾何学の新たな出会い」  （ 中央大学後楽園キャンパス ） 2018.3

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    Type：Competition, symposium, etc. 

  • 若手優秀講演賞選考委員

    日本応用数理学会 2017 年度年会  （ 武蔵野大学 ） 2017.9

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    Type：Competition, symposium, etc. 

  • Scientific Advisory Committee International contribution

    10th IMACS Conference on Nonlinear Evolution Equation and Wave Phenomena: Computation and Theory  （ University of Georgia, Athens UnitedStatesofAmerica ） 2017.3 - 2017.4

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    Type：Competition, symposium, etc. 

  • Screening of academic papers

    Role(s)： Peer review

    2017

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：15

    Number of peer-reviewed articles in Japanese journals：0

    Proceedings of International Conference Number of peer-reviewed papers：1

    Proceedings of domestic conference Number of peer-reviewed papers：0

  • 組織委員 International contribution

    Forum “Math-for-Industry” 2016  2016.11

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    Type：Competition, symposium, etc. 

  • 組織委員 International contribution

    2016.11

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    Type：Competition, symposium, etc. 

  • 組織委員

    IMI 短期共同研究「意匠設計のための微分幾何学・離散微分 幾何」  （ 九州大学マス・フォア・インダストリ研究所 ） 2016.9

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    Type：Competition, symposium, etc. 

  • 組織委員

    日本応用数理学会 2016 年年会「JSIAM-ANZIAM 特別セッ ション:応用可積分系」  （ 北九州国際会議場 ） 2016.9

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    Type：Competition, symposium, etc. 

  • 組織委員

    IMI 短期共同研究「物理現象の演出可能な離散モデルの構築」  （ 九州大学マス・フォア・インダストリ研究所 ） 2016.6

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    Type：Competition, symposium, etc. 

  • Screening of academic papers

    Role(s)： Peer review

    2016

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：17

    Number of peer-reviewed articles in Japanese journals：0

    Proceedings of International Conference Number of peer-reviewed papers：0

    Proceedings of domestic conference Number of peer-reviewed papers：0

  • 組織委員 International contribution

    International Congress on Industrial and Applied Mathematics 2015 Minisymposium “Applied Integrable Systems”  2015.8

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    Type：Competition, symposium, etc. 

  • 組織委員 International contribution

    International Workshop “Computational and Geometric Ap- proaches for Nonlinear Phenomena”  （ 早稲田大学 ） 2015.8

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    Type：Competition, symposium, etc. 

  • Scientific Advisory Committee International contribution

    9th IMACS Conference on Nonlinear Evolution Equation and Wave Phenomena: Computation and Theory  （ University of Georgia, Athens UnitedStatesofAmerica ） 2015.4

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    Type：Competition, symposium, etc. 

  • 組織委員 International contribution

    Kick-off Meeting of IMI Australia Branch in La Trobe– Mathematics Bridge over the Pacific for Competitive Edge in Industry  （ ラ・トローブ大学（メルボルン） ） 2015.3

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    Type：Competition, symposium, etc. 

  • Screening of academic papers

    Role(s)： Peer review

    2015

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    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：11

    Number of peer-reviewed articles in Japanese journals：0

    Proceedings of International Conference Number of peer-reviewed papers：0

    Proceedings of domestic conference Number of peer-reviewed papers：0

  • Scientific Committee International contribution

    （ Japan ） 2014.11

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    Type：Competition, symposium, etc. 

  • 組織委員 International contribution

    （ 九州大学マス・フォア・インダストリ研究所 ） 2014.10

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    Type：Competition, symposium, etc. 

  • 組織委員

    IMI 研究集会 (II) 非線形数理モデルの諸相:連続，離散，超離散，その先  （ 九州大学マス・フォア・インダストリ研究所 ） 2014.8

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    Type：Competition, symposium, etc. 

  • モデレーター International contribution

    （ 九州大学マス・フォア・インダストリ研究所，東京大学大学院数理科学研究科 ） 2014.7 - 2014.8

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    Type：Competition, symposium, etc. 

  • International advisory board International contribution

    Symmetries and Integrability of Difference Equations XI  （ Bangalore India ） 2014.6

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    Type：Competition, symposium, etc. 

  • 実行委員長

    ウィンタースクール「離散可積分系・離散微分幾何チュートリアル2014」  （ 九州大学マス・フォア・インダストリ研究所 ） 2014.2

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    Type：Competition, symposium, etc. 

    Number of participants：35

  • 組織委員

    九州大学応用力学研究所共同利用研究集会「非線形波動研究の拡がり」  （ 九州大学応用力学研究所 ） 2013.10 - 2013.11

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    Type：Competition, symposium, etc. 

    Number of participants：66

  • 実行委員長

    日本応用数理学会2013年度年会  （ アクロス福岡 ） 2013.9

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    Type：Competition, symposium, etc. 

    Number of participants：432

  • Session Organizer International contribution

    8th IMACS Conference on Nonlinear Evolution Equation and Wave Phenomena: Computation and Theory  （ UnitedStatesofAmerica ） 2013.3

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    Type：Competition, symposium, etc. 

  • 組織委員 International contribution

    （ 京都大学 ） 2013.3

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    Type：Competition, symposium, etc. 

    Number of participants：60

  • Scientific Advisory Board International contribution

    2nd International Workshop on Nonlinear and Modern Mathematical Physics  （ UnitedStatesofAmerica ） 2013.3

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    Type：Competition, symposium, etc. 

    Number of participants：60

  • 実行委員長

    IMIチュートリアル「数学モデリングの基礎と展開」  （ 九州大学伊都キャンパス ） 2013.2

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    Type：Competition, symposium, etc. 

    Number of participants：100

  • 組織委員

    非線形波動研究の最前線–構造と現象の多様性–  （ 九州大学応用力学研究所 ） 2012.11

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    Type：Competition, symposium, etc. 

    Number of participants：90

  • 組織委員 International contribution

    （ シンガポール国立大学 ） 2012.9

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    Type：Competition, symposium, etc. 

    Number of participants：40

  • Journal of Physics A: Mathamatical and Theoretical International contribution

    2012.5 - 2017.12

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    Type：Academic society, research group, etc. 

  • Pacific Journal of Mathematics for Industry International contribution

    2012.4 - 2018.12

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    Type：Academic society, research group, etc. 

  • 実行委員長

    離散可積分系・離散微分幾何チュートリアル2012  （ 九州大学伊都キャンパス ） 2012.2

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    Type：Competition, symposium, etc. 

    Number of participants：100

  • 組織委員 International contribution

    （ ハワイ大学 ） 2011.10

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    Type：Competition, symposium, etc. 

    Number of participants：50

  • 組織委員

    非線形波動研究の新たな展開ー現象とモデル化  （ 九州大学応用力学研究所 ） 2010.10

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    Type：Competition, symposium, etc. 

    Number of participants：70

  • 実行委員長

    シンポジウム「数学力低下にどう対応するかー高等学校・大学・教員採用の現場から」  （ 九州大学伊都キャンパス ） 2010.7 - 2009.7

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    Type：Competition, symposium, etc. 

    Number of participants：40

  • organizing comittee, scientific advisory comittee International contribution

    Symmetry Plus Integrability 2010  （ South Padre Island, Texas UnitedStatesofAmerica ） 2010.6

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    Type：Competition, symposium, etc. 

    Number of participants：60

  • 実行委員長

    離散可積分系・離散微分幾何チュートリアル  （ 九州大学 ） 2010.2 - 2011.2

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    Type：Competition, symposium, etc. 

    Number of participants：117

  • 主催

    九州大学応用力学研究所研究集会「非線形波動および非線形力学系の現象と数理」  （ 九州大学応用力学研究所 ） 2005.11

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    Type：Competition, symposium, etc. 

    Number of participants：90

  • 主催

    九州大学応用力学研究所研究集会「非線形波動の物理と数理構造」  （ 九州大学 ） 2004.11

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    Type：Competition, symposium, etc. 

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Research Projects

  • 幾何形状を記述する可積分系の理論の深化

    Grant number：21K03329  2021 - 2023

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 設計の新パラダイムを拓く新しい離散的な曲面の幾何学

    2019.10 - 2025.3

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    Authorship：Principal investigator 

    可展面など性質のよい曲面を形状要素にもつ新しい離散曲面の幾何学を創始し、美的形状の理論を取り入れ、その上に構造解析・最適化手法を構築する。その枠組みで美とアート性を備え、安全・安心を担保する構造物設計を効率的かつ低コストで可能にする革新的ソフトウェア基盤を開発する。研究費総額246,700千円（直接経費）

  • 設計の新パラダイムを拓く新しい離散的な曲面の幾何学

    2019 - 2024

    戦略的創造研究推進事業 (文部科学省)

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    Authorship：Principal investigator  Grant type：Contract research

  • トリム曲面接続の理論解析と計測点群データからの高品質トリム曲面の生成

    Grant number：19H02048  2019 - 2022

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship：Coinvestigator(s)  Grant type：Scientific research funding

  • 幾何学的視点からの形状形成

    2018 - 2019

    日本学術振興会  二国間交流

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    Authorship：Coinvestigator(s)  Grant type：Joint research

  • Application of Discrete Integrable Systems to Numerical Analysis of Boundary Value Problems International coauthorship

    2016.7 - 2016.8

    La Trobe University (Australia) 

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    Authorship：Coinvestigator(s) 

    Work on integrable discrete dynamical systems; discrete integrable systems to boundary value problems of practical interest in heat and mass flow; the ability to construct new solutions of the differential equations for scale-invariant curvature-driven evolving curves and scrolls

  • Reflection groups and discrete dynamical systems International coauthorship

    2016.1 - 2020.12

    Australia 

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    Authorship：Coinvestigator(s) 

    This project aims to solve long-standing problems in discrete dynamical systems that are of particular interest to physics, by using reflection groups to reveal unexpected geometric insights. Mathematics has the power to abstract crucial patterns from complex observations. Symmetries familiar in the real world, like the hexagonal patterns of honeycombs, arise inside convoluted structures in high-dimensional systems. By revealing the structure of space-filling polytopes in integrable systems, the project seeks to find sought-after reductions of high-dimensional discrete models to two dimensions. Expected outputs include new reductions to discrete Painlevé equations, new circle patterns useful for computer graphics and discrete holomorphic functions.

  • 離散可積分幾何の深化と展開

    Grant number：16H03941  2016 - 2019

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 離散微分幾何に基づく離散時間幾何モデルの構築

    Grant number：16K13763  2016 - 2017

    科学研究費助成事業  挑戦的萌芽研究

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • フォーラム「マス・フォア・インダストリ」2016

    2016

    日本学術振興会  二国間交流

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    Authorship：Principal investigator  Grant type：Joint research

  • 離散可積分系と離散微分幾何による応用解析

    Grant number：23340037  2011 - 2014

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 離散可積分系による離散微分幾何の展開

    Grant number：21656027  2009 - 2011

    科学研究費助成事業  挑戦的萌芽研究

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 学力低下問題に対応するための新入生数学基礎学力調査

    2009 - 2011

    九州大学教育研究プログラム・研究拠点形成プロジェクト

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    Authorship：Principal investigator  Grant type：On-campus funds, funds, etc.

  • グローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」

    2008.4 - 2012.3

    九州大学大学院数理学府数理学専攻 

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    Authorship：Coinvestigator(s) 

    マス・フォア・インダストリ(Math-for-Industry以下「MI」と称する)とは、純粋・応用数学を流動性・汎用性をもつ形に融合再編しつつ産業界からの要請に応えようとすることで生まれる、未来技術の創出基盤となる数学の新研究領域です。本プログラムでは、統計・確率、数値/数式計算、神戸大学と連携した可積分系をはじめとする優れた研究実績をもとに、数学と産業界のいまだ類を見ない協働に向けた先駆的、組織的取組をさらに押し進め、世界最高水準のMI教育研究拠点の形成を目指します。MI研究の展開には新しい研究人材が不可欠です。本プログラムでは、MIの教育研究を推進し、技術の未来をになう国際的な若手数学者を育成します。

  • パンルヴェ系の理論とその新展開

    Grant number：19340039  2007 - 2010

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 平成１８年度問題に対応するための新入生数学基礎学力調査

    2006 - 2007

    九州大学教育研究プログラム・研究拠点形成プロジェクト

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    Authorship：Coinvestigator(s)  Grant type：On-campus funds, funds, etc.

  • 21世紀COEプログラム「機能数理学の構築と展開」計算数理プロジェクト

    2003.4 - 2008.3

    九州大学大学院数理学府 

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    Authorship：Coinvestigator(s) 

    本プロジェクトでは、「計算機援用証明」を２１世紀の高度情報化社会における、数学解析の方法論として定着させ、数値シミュレーションの信頼性向上と「計算機援用解析学」の構築を目ざす。また、解析学に限らず純粋数学分野の研究への計算機活用について、分野を超えた共同研究を企画・推進します。さらに流体の運動をはじめとする複雑現象の解明に向けて、偏微分方程式の数値解析の高性能な近似スキームを開発しその理論的誤差解析の研究を展開する。特に地球規模の環境問題と深く関わる現象の数値シミュレーションにおいて必要となる、大規模数値計算の高速・高信頼化手法の確立を図る。また、他の学問分野との連携によって、偏微分方程式を中心とした数学モデルによる自然・社会現象の数学的定式化を行うとともに、その理論的および数値解析的研究を進め複雑現象解明に貢献するよう努める。

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Educational Activities

  • I have been in charge of mathematical courses of graduate school of mathematics, department of mathematics, faculty of engineering. I also supervise students at seminars of department of mathematics and graduate school of mathematics. Moreover, I organize "Kyushu Integrable Systems Seminar" and "La Trobe-Kyushu Joint Seminar on Mathematics for Industry" to provide a chance for graduate students to get in touch with the most recent researches.

Class subject

  • 数学特論５（微分方程式）

    2022.10 - 2023.3   Second semester

  • Differential Equations

    2022.10 - 2023.3   Second semester

  • 微分方程式大意

    2022.10 - 2023.3   Second semester

  • 数学特論５（微分方程式）

    2021.10 - 2022.3   Second semester

  • 微分方程式大意

    2021.10 - 2022.3   Second semester

  • 数理科学特別講義XV

    2021.4 - 2021.9   First semester

  • フーリエ解析と偏微分方程式

    2021.4 - 2021.6   Spring quarter

  • 数学特論A５

    2020.10 - 2021.3   Second semester

  • 微分方程式大意

    2020.10 - 2021.3   Second semester

  • 数学特論５

    2020.10 - 2021.3   Second semester

  • フーリエ解析と偏微分方程式

    2020.4 - 2020.6   Spring quarter

  • 数学IIA

    2020.4 - 2020.6   Spring quarter

  • 微分方程式大意

    2019.10 - 2020.3   Second semester

  • 数学特論A５

    2019.10 - 2020.3   Second semester

  • 数学特論５

    2019.10 - 2020.3   Second semester

  • ＭＭＡ講究Ａ

    2019.4 - 2019.9   First semester

  • 数理科学特論１０

    2019.4 - 2019.9   First semester

  • 数理科学特別講義Ⅹ

    2019.4 - 2019.9   First semester

  • 数学ⅡＡ

    2019.4 - 2019.6   Spring quarter

  • フーリエ解析と偏微分方程式

    2019.4 - 2019.6   Spring quarter

  • 常微分方程式

    2018.10 - 2019.3   Second semester

  • 数学ⅠＡ

    2018.10 - 2019.3   Second semester

  • 数学特論A5

    2018.10 - 2019.3   Second semester

  • 数学的モデリング

    2018.4 - 2018.9   First semester

  • 数学特論５

    2018.4 - 2018.9   First semester

  • 微分方程式大意

    2018.4 - 2018.9   First semester

  • 数学特論A5

    2017.10 - 2018.3   Second semester

  • 数学特論５

    2017.10 - 2018.3   Second semester

  • フーリエ解析と偏微分方程式

    2017.10 - 2018.3   Second semester

  • 数学ⅡＡ

    2017.10 - 2018.3   Second semester

  • 微分方程式大意

    2017.10 - 2018.3   Second semester

  • 応用数理解析

    2017.4 - 2017.9   First semester

  • 数学ⅡＣ

    2017.4 - 2017.9   First semester

  • 数学的モデリング

    2017.4 - 2017.9   First semester

  • 機能数理学概論Ⅰ

    2017.4 - 2017.9   First semester

  • 数学展望

    2016.4 - 2016.9   First semester

  • 機能数理学概論I

    2016.4 - 2016.9   First semester

  • 数学的モデリング

    2016.4 - 2016.9   First semester

  • 微分方程式基礎・演習

    2015.10 - 2016.3   Second semester

  • フーリエ解析と偏微分方程式

    2015.10 - 2016.3   Second semester

  • 機能数理学概論I

    2015.4 - 2015.9   First semester

  • 数学基礎セミナー

    2015.4 - 2015.9   First semester

  • 数学IIC

    2015.4 - 2015.9   First semester

  • 数学IIC

    2015.4 - 2015.9   First semester

  • 数学IIA

    2014.4 - 2014.9   First semester

  • 数学基礎セミナー

    2014.4 - 2014.9   First semester

  • 微分方程式基礎・演習

    2014.4 - 2014.9   First semester

  • 数学IIC

    2014.4 - 2014.9   First semester

  • 数学IIC

    2014.4 - 2014.9   First semester

  • 数学特論5

    2013.10 - 2014.3   Second semester

  • 微分方程式大意

    2013.10 - 2014.3   Second semester

  • 微分積分学

    2013.10 - 2014.3   Second semester

  • 数学IIC

    2013.4 - 2013.9   First semester

  • 数学IIC

    2013.4 - 2013.9   First semester

  • MMA数学入門

    2013.4 - 2013.9   First semester

  • MMA数学入門

    2012.4 - 2012.9   First semester

  • 微分方程式大意

    2012.4 - 2012.9   First semester

  • 数学特論5

    2012.4 - 2012.9   First semester

  • 微分積分学

    2012.4 - 2012.9   First semester

  • 数学IIC

    2012.4 - 2012.9   First semester

  • 数学IIC

    2012.4 - 2012.9   First semester

  • 微分積分続論II

    2011.10 - 2012.3   Second semester

  • 数学基礎演習II

    2011.10 - 2012.3   Second semester

  • 線形代数

    2011.4 - 2011.9   First semester

  • 微分積分学・同演習A

    2011.4 - 2011.9   First semester

  • MMA数学入門

    2011.4 - 2011.9   First semester

  • 数学IA

    2010.10 - 2011.3   Second semester

  • 基礎数学演習II

    2010.10 - 2011.3   Second semester

  • 微分積分続論II

    2010.10 - 2011.3   Second semester

  • 線形代数

    2010.4 - 2010.9   First semester

  • 数学IA

    2009.10 - 2010.3   Second semester

  • 数学特論6

    2009.10 - 2010.3   Second semester

  • 無限解析大意

    2009.10 - 2010.3   Second semester

  • 線形代数

    2009.10 - 2010.3   Second semester

  • 微分積分学

    2008.10 - 2009.3   Second semester

  • 無限解析大意

    2008.10 - 2009.3   Second semester

  • 数学特論6

    2008.10 - 2009.3   Second semester

  • 線形代数

    2008.10 - 2009.3   Second semester

  • 数学IA

    2008.4 - 2008.9   First semester

  • 数学入門

    2008.4 - 2008.9   First semester

  • 数学IA

    2008.4 - 2008.9   First semester

  • 微分積分学・同演習B

    2007.10 - 2008.3   Second semester

  • 線形代数・同演習B

    2007.10 - 2008.3   Second semester

  • 数学特論5

    2007.10 - 2008.3   Second semester

  • 微分方程式大意

    2007.10 - 2008.3   Second semester

  • 微分積分学・同演習A

    2007.4 - 2007.9   First semester

  • 線形代数・同演習A

    2007.4 - 2007.9   First semester

  • 微分積分・同演習B

    2006.10 - 2007.3   Second semester

  • 微分方程式大意

    2006.10 - 2007.3   Second semester

  • 数学特論5

    2006.10 - 2007.3   Second semester

  • 数学IIA

    2006.10 - 2007.3   Second semester

  • 数学IIA

    2006.10 - 2007.3   Second semester

  • 微分積分・同演習B

    2006.10 - 2007.3   Second semester

  • 微分積分・同演習A

    2006.4 - 2006.9   First semester

  • 微分積分・同演習A

    2006.4 - 2006.9   First semester

  • 数学IC

    2005.10 - 2006.3   Second semester

  • 数学IIA

    2005.10 - 2006.3   Second semester

  • 数学IIA

    2005.10 - 2006.3   Second semester

  • 数学IIC

    2004.4 - 2004.9   First semester

  • 数学基礎演習III

    2004.4 - 2004.9   First semester

  • 無限解析大意

    2003.10 - 2004.3   Second semester

  • 微分積分続論（理学部数学科）

    2003.4 - 2003.9   First semester

  • 微分積分続論（経済学部経済工学科）

    2003.4 - 2003.9   First semester

  • 数学IIA（工学部・電気情報）

    2003.4 - 2003.9   First semester

  • 表現論I

    2002.10 - 2003.3   Second semester

  • 微分積分続論

    2002.4 - 2002.9   First semester

  • 数理学概論

    2002.4 - 2002.9   First semester

  • 数学IIA

    2002.4 - 2002.9   First semester

▼display all

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2020  School of Mathematics and Statistics, La Trobe University  Classification:Affiliate faculty  Domestic/International Classification:Overseas 

  • 2019  School of Mathematics and Statistics, La Trobe University  Classification:Affiliate faculty 

  • 2018  School of Mathematics and Statistics, La Trobe University  Classification:Affiliate faculty  Domestic/International Classification:Overseas 

  • 2013  Department of Mathematics, Pusan National University, Korea  Classification:Intensive course  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration：2013年9月23日〜2013年9月26日

  • 2012  立教大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期(9/11-14)

  • 2009  東京大学大学院数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期(5/18-22)

  • 2009  青山学院大学大学院理工学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期(8/31-9/4)

  • 2005  School of Mathematics and Statistics,University of Sydney  Classification:Affiliate faculty  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration：2005.4.1-2005.9.16

  • 2004  School of Mathematics and Statistics,University of Sydney  Classification:Affiliate faculty  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration：2004.9.16-2005.3.31

  • 2003  School of Mathematics and Statistics,University of Sydney  Classification:Affiliate faculty  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration：2003.7.1 -- 2003.8.30

▼display all

Outline of Social Contribution and International Cooperation activities

  • 1.国際連携活動として，特にオーストラリアの研究者と連携した活動を多く行っている．共同研究として以下のプロジェクトが進行中である．
    ・パンルヴェ方程式と離散正則函数の理論：Nalini Joshi教授（シドニー大学）（ARC Discovery Grant DP160101728, 2016-2020)
    ・対数型美的曲線とその拡張：Wolfgang K. Schief教授（ニューサウスウェールズ大学）
    ・多孔質媒質中の液体浸透現象の離散可積分モデル：Philip Broadbridge教授（ラ・トローブ大学），Dimetre Triadis助教（ラ・トローブ大学/九州大学）
    ラ・トローブ大学に設置したIMIオーストラリア分室の運営責任者を務めており，教員や学生のオーストラリアの学会やスタディグループへの派遣事業などの活動を実施している．また，同大学の客員教授も務めている(2018年7月〜）．
    また，アジア太平洋産業数学コンソーシアム(APCMfI, http://apcmfi.org)の総務担当理事を務めている．応用数学・産業数学のコングレスICIAM2019でAPCMfIのミニシンポジウムの組織委員長を務めている．また，ICIAM2023の招致委員会委員を務め，日本への招致に成功したほか，国際産業数理・応用数理評議会の日本代表団に参画している．
    2.新入生の数学力の実態を把握し，教育に活かすために2003〜2012年の10年間に渡って理系全学科を対象として九州大学新入生基礎学力調査を実施し，結果を学内に周知するとともに雑誌「科学」（岩波書店）でも報告した．(http://gandalf.imi.kyushu-u.ac.jp/chousa/)
    3.数学の啓蒙活動の一環として，以下の活動を行ってきた．
    (a) 九州大学理学部エクセレント・スチューデント・イン・サイエンス実行委員(2009〜2013)
    (b)九州大学公開講座「現代数学入門」講師(2002)
    (c)一般向け雑誌などへの記事執筆
    (1)座談会「数式処理ソフトをくらべる」，数学セミナー 1994 年 1 月号
    (2)電子メール討論 広がる可積分系の世界 – 戸田方程式の 30 年 –，数理科学 1996 年 3 月号
    (3)IP Masquerade を用いた幸せな LAN の構築，Linux Japan 1号 1996年
    (4)イチロ HOME LAN !，Linux Japan 2号 1996年
    (5)Linux で数式処理，Linux Japan 6号 1997年
    (6) エンドユーザの賢い数式処理ソフト選び，数理科学　1998年11月号
    (7) パンルヴェ方程式の対称性，数学セミナー 1999年2月号
    (8) 可積分系 – 不思議な波が運ぶ奇跡とからくり –，数学セミナー2004年
    (9) 戸田格子 – 新しい研究のゆりかご –，数学セミナー 2008年3月号
    (10) ソリトンと逆散乱法:歴史的視点から (1)（訳），数学セミナー2008年8月号
    (11) ソリトンと逆散乱法:歴史的視点から (2)（訳），数学セミナー2008年9月号
    (12) IMIオーストラリア分室便り，数学セミナー2016年4月号〜2017年3月号（12回連載）

Social Activities

  • 九州大学数学入試問題解説

    鹿児島県数学教育会教材研究会（鹿児島県立中央高等学校）  2016.6

    　More details

    Audience： Infants,　Schoolchildren,　Junior students,　High school students

    Type：Seminar, workshop

  • 九大祭特別講演「学力低下神話を検証するー九州大学新入生数学基礎学力調査2003-2009の結果より」

    九大祭2009実行委員会  九州大学伊都キャンパス  2009.11

    　More details

    Audience： General,　Scientific,　Company,　Civic organization,　Governmental agency

    Type：Lecture

  • 美しくない数学入門：関数値の近似から微分法まで

    佐賀県立唐津東高等学校  2009.9

    　More details

    Audience： Infants,　Schoolchildren,　Junior students,　High school students

    Type：Seminar, workshop

  • 出前講義「解析学前夜--16,17世紀の関数の近似理論と微分法--」

    鹿児島県立甲南高等学校  2007.11

    　More details

    Audience： Infants,　Schoolchildren,　Junior students,　High school students

    Type：Seminar, workshop

  • 出前講義「大学の数学を垣間見る：無限のいろいろ」

    佐賀県立鳥栖高等学校  2006.8

    　More details

    Audience： Infants,　Schoolchildren,　Junior students,　High school students

    Type：Seminar, workshop

  • 平成１４年度九州大学大学院数理学研究院公開講座「現代数学入門」講師 「ソリトン─不思議な波が運んできた，古くて新しい数学の物語─ 」

    九州大学大学院数理学研究院  九州大学  2002.8

    　More details

    Audience： General,　Scientific,　Company,　Civic organization,　Governmental agency

    Type：Lecture

▼display all

Activities contributing to policy formation, academic promotion, etc.

  • 2023.10 - 2029.9   日本学術会議

    連携会員

  • 2023.10 - 2027.9   国際産業数理・応用数理評議会（International Council for Industrial and Applied Mathematics)

    理事（Officer-at-Large)

  • 2022.12 - Present   経団連

    数学界・経団連数理活用産学連携イニシアティブ

Acceptance of Foreign Researchers, etc.

  • University of Leicester

    Acceptance period： 2023.10   （Period）：Less than 2 weeks

    Nationality：Germany

    Business entity：Foreign governments, foreign research institutes, international organizations

  • Free University of Berlin

    Acceptance period： 2023.8 - 2023.9   （Period）：2weeks to less than 1 month

    Nationality：Germany

    Business entity：Japan Science and Technology Agency

  • University of Leicester

    Acceptance period： 2022.9 - 2022.12   （Period）：1 month or more

    Nationality：Germany

    Business entity：Science and Technology Agency

  • Acceptance period： 2018.11   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：Foreign governments, foreign research institutes, international organizations

  • University of Sydney

    Acceptance period： 2018.11   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：Foreign governments, foreign research institutes, international organizations

  • Acceptance period： 2018.11   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：Foreign governments, foreign research institutes, international organizations

  • University of Texas Rio Grande Valley

    Acceptance period： 2018.6 - 2018.8   （Period）：1 month or more

    Nationality：United States

    Business entity：Japan Society for the Promotion of Science

  • University of Texas Rio Grande Valley

    Acceptance period： 2018.6 - 2018.8   （Period）：1 month or more

    Nationality：United States

    Business entity：Japan Society for the Promotion of Science

  • University of New South Wales

    Acceptance period： 2016.9   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：On-campus funds

  • University of Melbourne

    Acceptance period： 2016.9   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：On-campus funds

  • La Trobe University

    Acceptance period： 2015.10 - 2015.12   （Period）：1 month or more

    Nationality：Australia

  • University of Sydney

    Acceptance period： 2015.8   （Period）：Less than 2 weeks

    Nationality：Japan

  • University of Texas Pan American

    Acceptance period： 2014.2 - 2014.3   （Period）：1 month or more

    Nationality：Japan

    Business entity：Japan Society for the Promotion of Science

  • University of New South Wales

    Acceptance period： 2012.2   （Period）：Less than 2 weeks

    Nationality：Germany

  • Tsinghua University

    Acceptance period： 2010.12   （Period）：2weeks to less than 1 month

    Nationality：Japan

    Business entity：On-campus funds

  • University of Sydney

    Acceptance period： 2009.12   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：On-campus funds

  • University of Sydney

    Acceptance period： 2006.11   （Period）：Less than 2 weeks

    Nationality：Australia

    Business entity：Japan Society for the Promotion of Science

  • University of Madras

    Acceptance period： 2006.5 - 2005.5   （Period）：Less than 2 weeks

    Nationality：India

  • Glasgow University

    Acceptance period： 2006.1   （Period）：Less than 2 weeks

    Nationality：United Kingdom

    Business entity：Japan Society for the Promotion of Science

  • Southern Ural State University

    Acceptance period： 2003.11   （Period）：Less than 2 weeks

    Nationality：Russian Federation

    Business entity：Japan Society for the Promotion of Science

▼display all

Travel Abroad

  • 2024.2

    Staying countory name 1：Japan   Staying institution name 1：Hahndorf Convention Centre

  • 2023.11

    Staying countory name 1：Australia   Staying institution name 1：University of Canberra

  • 2023.9

    Staying countory name 1：Poland   Staying institution name 1：Technical University of Warsaw

  • 2023.8

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2023.6

    Staying countory name 1：Poland   Staying institution name 1：University of Warsaw

    Staying institution name 2：Wroclaw University of Science and Technology

  • 2023.2 - 2023.3

    Staying countory name 1：Netherlands   Staying institution name 1：RAI Congress Center

  • 2022.11

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2022.9

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

    Staying institution name 2：University of New South Wales

  • 2022.8 - 2022.9

    Staying countory name 1：United Kingdom   Staying institution name 1：University of Strathclyde

  • 2022.8

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2020.6

    Staying countory name 1：Japan   Staying institution name 1：Sabhal Mor Ostaig

  • 2020.2

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2020.2

    Staying countory name 1：Australia   Staying institution name 1：Hotel Crowne Plaza Hunter Valley

  • 2019.11

    Staying countory name 1：New Zealand   Staying institution name 1：Massey University

  • 2019.9

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2019.9 - 2019.8

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2019.8

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2019.7

    Staying countory name 1：Spain   Staying institution name 1：University of Valencia

  • 2019.6

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2019.6

    Staying countory name 1：Taiwan, Province of China   Staying institution name 1：Taiwan Normal University

  • 2019.3

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

    Staying institution name 2：La Trobe University

  • 2019.2

    Staying countory name 1：New Zealand   Staying institution name 1：Rutherford Hotel

  • 2018.12

    Staying countory name 1：Australia   Staying institution name 1：University of Adelaide

  • 2018.11

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2018.10

    Staying countory name 1：Austria   Staying institution name 1：Technical University of Vienna

  • 2018.8

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2018.8

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2018.7

    Staying countory name 1：Taiwan, Province of China   Staying institution name 1：National Taiwan University

  • 2018.4

    Staying countory name 1：Chile   Staying institution name 1：Tsinghua Sanya Mathematics Forum

  • 2018.2

    Staying countory name 1：Japan   Staying institution name 1：La Trobe University

    Staying institution name 2：University of New South Wales

  • 2018.2

    Staying countory name 1：Australia   Staying institution name 1：University of Tasmania

  • 2018.2

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2018.1

    Staying countory name 1：United States   Staying institution name 1：San Diego Convention Center

  • 2017.12

    Staying countory name 1：Korea, Republic of   Staying institution name 1：Pusan National University

  • 2017.10

    Staying countory name 1：United States   Staying institution name 1：University of Hawaii at Manoa

  • 2017.9

    Staying countory name 1：Japan   Staying institution name 1：University of New South Wales

    Staying institution name 2：La Trobe University

  • 2017.8

    Staying countory name 1：United States   Staying institution name 1：University of Michigan

  • 2017.8

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2017.5

    Staying countory name 1：China   Staying institution name 1：Shanghai University

    Staying institution name 2：Shanghai Jiao Tong University

  • 2017.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Institute of Physics

  • 2017.3

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2017.2

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

    Staying institution name 2：University of Sydney

  • 2016.11

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

    Staying institution name 2：Queensland University of Technology

  • 2016.9

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2016.8

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

  • 2016.8

    Staying countory name 1：China   Staying institution name 1：Shaanxi Normal University

  • 2016.7 - 2016.8

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2016.7

    Staying countory name 1：Canada   Staying institution name 1：University of Montreal

  • 2016.5

    Staying countory name 1：United States   Staying institution name 1：University of Texas-Rio Grande Valley

  • 2016.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Institute of Physics

    Staying countory name 2：China   Staying institution name 2：Tsinghua Sanya International Mathematics Forum

  • 2016.3

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2016.2

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2016.2

    Staying countory name 1：Australia   Staying institution name 1：University of New South Wales

    Staying institution name 2：University of South Australia

  • 2015.8

    Staying countory name 1：China   Staying institution name 1：China National Convention Center

  • 2015.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Institute of Physics

  • 2015.3

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2015.1

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2014.12

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2014.6

    Staying countory name 1：India   Staying institution name 1：Indian Institute of Science

  • 2014.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Institute of Physics

  • 2014.2

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2013.12 - 2012.12

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2013.7

    Staying countory name 1：United Kingdom   Staying institution name 1：Issac Newton Insitute for Mathematical Sciences

  • 2013.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Insititute of Physics

  • 2013.3

    Staying countory name 1：United States   Staying institution name 1：University of Georgia

  • 2013.1 - 2013.2

    Staying countory name 1：United States   Staying institution name 1：Chapman University

  • 2012.9 - 2012.10

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

    Staying institution name 2：University of Sydney

  • 2012.9

    Staying countory name 1：Singapore   Staying institution name 1：Institute of Mathematical Sciences, National University of Singapore

  • 2012.7

    Staying countory name 1：Greece   Staying institution name 1：Orthodox Academy of Crete

  • 2012.3

    Staying countory name 1：United States   Staying institution name 1：University of South Florida

  • 2011.10

    Staying countory name 1：United States   Staying institution name 1：University of Hawaii at Manoa

  • 2011.6

    Staying countory name 1：Netherlands   Staying institution name 1：Leiden University

  • 2011.6

    Staying countory name 1：United Kingdom   Staying institution name 1：University of Glasgow

  • 2011.2

    Staying countory name 1：United States   Staying institution name 1：University of Texas Pan American

  • 2010.6

    Staying countory name 1：Bulgaria   Staying institution name 1：International House of Scientists "Frederic Joliot-Curie"

  • 2010.6

    Staying countory name 1：United States   Staying institution name 1：Unversity of Texas Pan American

  • 2010.2

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2010.1

    Staying countory name 1：China   Staying institution name 1：Shaoxing University

  • 2009.6 - 2009.7

    Staying countory name 1：United Kingdom   Staying institution name 1：Isaac Newton Institute for Mathematical Sciences

    Staying institution name 2：University of Cambridge

  • 2009.3 - 2009.4

    Staying countory name 1：United Kingdom   Staying institution name 1：Glasgow University

  • 2008.6

    Staying countory name 1：Canada   Staying institution name 1：University of Montreal

  • 2008.2

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

  • 2007.7

    Staying countory name 1：United Kingdom   Staying institution name 1：Glasgow University

  • 2006.9

    Staying countory name 1：United States   Staying institution name 1：University of Washington

  • 2006.7

    Staying countory name 1：Australia   Staying institution name 1：University of Melbourne

    Staying institution name 2：University of Sydney

  • 2006.3

    Staying countory name 1：United States   Staying institution name 1：University of Texas-Pan American

  • 2004.9 - 2005.9

    Staying countory name 1：Australia   Staying institution name 1：University of Sydney

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