society
Computational Mathematics Laboratory
Expressing complicated phenomena with simple rules
The technique known as "ultradiscretization" has been developed to digitize the equations that describe natural phenomena while preserving the essential structure of the phenomena. A cellular automaton, one of ultradiscrete system, is a completely discrete model consisting of only 0s and 1s, and can describe many complex phenomena such as traffic congestion and ecosystems. In this laboratory, modeling, simulation, and mathematical analysis using discrete mathematics such as cellular automata are conducted mainly for "flows" such as traffic flows and human flows.
College of Systems Engineering and Science Department of Mathematical Sciences
/ Graduate School of Engineering and Science（Master's Program） Systems Engineering and Science
/ Graduate School of Engineering and Science（Doctor's Program） Functional Control Systems Course
- Faculty Name
- FUKUDA, Akiko
- Keyword
- Mathematical sciences,Simulations,Cellular automaton,Integrable systems,Discrete dynamical systems,Difference equations,Numerical linear algebra
- Laboratory location
- No.5 Building OMIYA Campus 4F 5481-1
This lab is for this SDG activity:
STUDY FIELDS
- Mathematics
- Information science
- Applied mathematics
FOR SOCIETY
We contribute to a complex mobility society by analyzing and simulating natural and social phenomena related to various "flows" such as traffic flows and human flows.
RESEARCH THEMES
- Mathematical modeling and analysis using cellular automata
- Research on algorithms for calculating eigenvalues in max-plus algebra and their applications in network optimizations
- Mathematical modeling and simulation of pedestrian flows
