Developing of Structure-preserving Numerical Methods for Partial Differential Equations
Numerical methods that inherit some mathematical structures or properties from the original differential equations are called "structure-preserving numerical methods" in general.
There exist various studies about structure-preserving methods for ordinary differential equations, which include some famous studies about symplectic methods.
In the context for partial differential equations, however, we have no framework study until our study of "discrete variational derivative method" which treats conservative or dissipative partial differential equations in the end of 1990s.
So far, we have developed the method with many colleagues.
- 1992 Dept. of Applied Physics, Faculty of Engineering, The University of Tokyo
- 1997 Ph.D. (Engineering), The University of Tokyo
- 1997 Assistant, Research Institute for Mathematical Sciences, Kyoto University
- 2001 Lecturer, Cyber Media Center, Osaka University
- 2002 Assistant Professor, Cyber Media Center, Osaka University
- (currently Associate Professor)
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