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Training of The Basics of Engineers
Computational Mathematics Lab.
Akiko Fukuda
Associate Professor, Department of Mathematical Sciences
College of Systems Engineering and Science
Systems Engineering and Science in Master's Program
Functional Control Systems in Doctoral Program
Location: Omiya Campus
Laboratory Overview
Express complex phenomena with simple rules
Many of the equations modeling natural phenomena are represented by continuous differential equations, and by discretizing differential equations, it becomes possible to perform numerical simulation using computers. In recent years, technology called "ultradiscretization" has been developed that successfully extracts the essential structure of the phenomenon for discretized equations. A cellular automaton, which is one of ultradiscrete systems, is a completely discrete model consisting of only 0's and 1's. Its compatibility with computers is also very good and it can describe many complicated phenomena such as traffic jam and ecosystem. This laboratory aims at the development of numerical method which is the basis for numerical simulation and aiming at clasifying rich mathematical structure hiding behind the discrete and ultradiscrete equation.
Research Outputs You can review research papers in the website below.
Laboratory Research Field
Numerical computation Integrable system Celular automaton Max-Plus algebra Numerical linear algebra
Recent Research Topics
eigenvalue computation on Min-Plus algebra eigenvalue computation based on integrable system discrete and ultradiscrete integrable systems    
Affiliated Conferences
The Japan Society for Industrial and Applied Mathematics The Mathematical Society of Japan International Linear Algebra Society    
Related Industries
Applicable Industrial Fields
Instruments and Devices in this Laboratory
Research Seeds