Area of Mathematical Modelling
The Area of Mathematical Modelling comprised of the following two research groups is concerned with research and education of mathematical theory and applications on modelling phenomena occurred in several fields of natural science, social science and engineering.■
Assoc.Prof.: Mitsuru SHIBAYAMA ■
Assis.Prof.: Yohei Fujishima
Here we study nonlinear partial differential equations appearing in the various fields of Mathematical Sciences. For example, we are focusing on the following topics:
- LASER beam propagation in a nonlinear medium.
- Bifurcation analysis to infinite dimensional dynamical systems and its application to pattern formation problem.
- Development of computational topology methods applied to dynamical system theories.
Prof.: Takashi SUZUKI ■
Assis.Prof.: Ryo TAKAHASHI
This group is engaged in the following study and education.
- Mathematical formulation of problems in natural science, engineering,economics,and medical science based on physical principle and phenomena.
- Numerical simulation, numerical scheme, and mathematical analysis based on the theory of partial differential equations and nonlinear functional analysis.
- Investigation of mathematical structure for self-interacting particles and biological functions such as the kinetic equation,system of chemotaxis, and tumour growth model.
Area of Statistical Science■
Prof.: HIdetoshi SHIMODAIRA ■ Assoc.Prof.: ■ Assis.Prof.: Kei HIROSE
(Sorry, under preparation)
Prof.: Yutaka KANO ■
Assoc.Prof.: Etsuo KUMAGAI ■ Assis.Prof.: Kengo KAMATANI
An important purpose of multivariate analysis is to identify any relations among many variables based on statistical data. The recent topics in this field are new modeling and statistical causal inference. In this research group, we apply mathematics and computers extensively to study structural equation modeling,graphical modeling,and independent component analysis as well as survival analysis in biostatistics. Our research includes methodological and application aspects.