| Co-Investigator(Kenkyū-buntansha) |
MORI M Tokyo Univ.Faculty of Sci. Professor, 工学部, 教授 (20010936)
KAWARADA H Chiba Univ.Faculty of Eng.Professor, 工学部, 教授 (90010793)
OKAMOTO H Kyoto Univ.R.I.M.S.Professor, 数理解析研究所, 教授 (40143359)
YAMAMOTO T Ehime Univ.Faculty of Sci.Professor, 理学部, 教授 (80034560)
TABATA M Hiroshima Univ.Faculty of Sci.Professor, 理学部, 教授 (30093272)
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| Research Abstract |
The aim of this project is to develope the mathematical theory of large scale scientific computation related to the mathematical modelling in science and engineering. The project consists of the following four groups. Among many results obtained by the 14 investigators of the project, those related to the following topics are outstanding and already published in journals or proceedings.
1.Parallel or/and iterative computation for large scale linear or non-linear systems
Application of homotopy method to large scale eigen-value problems (shimasaki), Proof of the convergence in-large of a SOR type Durand-Kerner method for non-linear systems (Yamamoto), Pre-conditioned Gauss-Seidel method for large scale linear systems (Niki)
2.Mathematical analysis of fluid
Uniqueness, bifurcation and limit of the solutions of N-S equations (Okamoto), Upwind FEM with high accuracy and three-dimensional fluid dynamics (Tabata), Convergence and stability analysis of BEM (Onishi), Stability theory of ill-posed problems (Iso), Application of Steklov operator (Ushijima), Analysis of flow in porous media (Kawarada)
3.Numerical analysis of reaction-diffusion systems
Pattern dynamics in reaction-diffusion systems (Mimura), Mathematical models of Chemical interfacial reaction (Yotsutani)
4.Mathematical analysis of deformation and fracture in elastic or non-elastic bodies
Mathematical formulations of fracture parameters (Miyoshi), Mathematical Analysis of three-dimensional fracture problems (Ohtsuka)
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