Kyushu University Academic Staff Educational and Research Activities Database
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Murakawa Hideki Last modified date:2016.10.04

Academic Degree
Field of Specialization
Applied Mathematics, Numerical Analysis
Outline Activities
I am interested in various phenomena and problems in nature and sciences. I have been studying, for exaple, ice-water phasetransision, groundwater flow, competition and coorperation between animal species, cell culture, precipitation and dissolution reactions in chemistry etc. The aim of my research is to analyze model equations for such phenomena from both the mathematical and numerical points of view. Recently, I have constructed and analyzed highly accurate numerical methods for the above problems and versatile, easy to implement and stable numerical methods for general problems.
Research Interests
  • Applied Mathematics, Numerical Analysis
    keyword : Nonlinear diffusion problem, Reaction-diffusion system, Free boundary problem, Numerical simulation
Academic Activities
1. H. Murakawa, A relation between cross-diffusion and reaction-diffusion, Discrete Contin. Dyn. Syst. S, 5, 147-158, 2012.02.
2. A. Ducrot, F. Le Foll, P. Magal, H. Murakawa, J. Pasquier and G. Webb, An in vitro cell population dynamics model incorporating cellsize, quiescence, and contact inhibition, Math. Models Methods Appl. Sci., 21, 871-892, 2011.04.
3. H. Murakawa, A linear scheme to approximate nonlinear cross-diffusionsystems, Math. Mod. Numer. Anal., 45, 1141-1161, 2011.11.
4. H. Murakawa and H. Ninomiya, Fast reaction limit of a three-componentreaction-diffusion system, J. Math. Anal. Appl., 379, 150-170, 2011.07.
5. R. Eymard, D. Hilhorst, H. Murakawa and M. Olech, Numericalapproximation of a reaction-diffusion system with fast reversible reaction, Chinese Annals of Mathematics B, 31, 631-654, 2010.09.