# Computational Mathematics Laboratory

## Expressing complicated phenomena with simple rules

Faculty of Engineering | Mathematical Sciences |

Faculty Name | FUKUDA, Akiko |

Academic Society |
The Japan Society for Industrial and Applied Mathematics The Mathematical Society of Japan International Linear Algebra Society |

Keyword | Mathematical sciences, Simulations, Cellular automaton, Integrable, Information searches, Computer simulations, Differential equations, Mathematical biology, Numerical linear algebra |

### Study Fields

- Mathematics
- Information science
- Applied mathematics

### For Society

Numerical simulations are indispensable when analyzing various natural and social phenomena. We will be able to reach more accurate results of analyses by developing and improving methods of numerical calculation, which serve as the foundation for numerical simulations.### Research Themes

- Development of algorithms for calculating the eigenvalue of matrices based on the theory of discrete integrable systems
- Research on algorithms for calculating eigenvalues in max-plus algebra and their applications in network optimizations
- Research on the inverse discretization of elementary cellular automaton
- Research on speeding up the calculation of Google PageRank