## Applied Mathematical Analysis Laboratory

Language: English | 日本語

Welcome to Applied Mathematical Analysis laboratory studying *Applied Integrable Systems*.

### Research Subject: Applied Integrable Systems

Our research subjects are integrable systems and their applications to engineering science.

#### Integrable Systems and Orthogonal Polynomials

- Spectral transformations of orthogonal functions
- Special (hypergeometric) function solutions to discrete integrable systems
- Enumerative combinatorics: discrete integrable systems as dynamics on graphs

#### Computational Mathematics

- New algorithm named the
*mdLVs*for computing matrix singular values based on discrete integrable systems