|Alma mater||University of Tokyo|
|Known for||Double exponential integration formula|
Discrete Variational Method
Numerical methods for partial differential equations
|Institutions||University of Tokyo|
Masatake Mori (1937-2017) is a Japanese numerical analyst and a former professor at the University of Tokyo and Kyoto University. He is known for his contributions to numerical analysis, especially the invention of the double exponential integration formula (one of the most effective method for numerical integration). He also had several joint studies with Masaaki Sugihara.
References[change | change source]
- Takahasi, H. and Mori, M. (1974). “Double exponential formulas for numerical integration”. Publications of the Research Institute for Mathematical Sciences 9 (3): 721–741.
- Weisstein, Eric W. "Double Exponential Integration." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DoubleExponentialIntegration.html
- Mori, M. Developments in the Double Exponential Formula for Numerical Integration. Proceedings of the International Congress of Mathematicians, Kyoto 1990. New York: Springer-Verlag, pp. 1585-1594, 1991.
- Matsuo, T., Sugihara, M., Furihata, D., & Mori, M. (2002). Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method. Japan Journal of Industrial and Applied Mathematics, 19(3), 311.
- Mori, M., & Sugihara, M. (2001). The double-exponential transformation in numerical analysis. Journal of Computational and Applied Mathematics, 127(1-2), 287-296.
- Muhammad, M., Nurmuhammad, A., Mori, M., & Sugihara, M. (2005). Numerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation. Journal of Computational and Applied Mathematics, 177(2), 269-286.
- Tanaka, K. I., Sugihara, M., Murota, K., & Mori, M. (2009). Function classes for double exponential integration formulas. Numerische Mathematik, 111(4), 631-655.
- Nurmuhammad, A., Muhammad, M., Mori, M., & Sugihara, M. (2005). Double exponential transformation in the Sinc-collocation method for a boundary value problem with fourth-order ordinary differential equation. Journal of Computational and Applied Mathematics, 182(1), 32-50.