Takayasu Akitoshi

タカヤスアキトシ | Takayasu Akitoshi

Affiliation and department：
Job title： Associate Professor
Homepage URL (1)： http://www.risk.tsukuba.ac.jp/~takitoshi/

Research field (3)： Computational science , Applied mathematics and statistics , Basic mathematics

Research keywords (3)： Infinite dimensional dynamical systems , Rigorous numerics , Numerical analysis

Research theme for competitive and other funds (4)：

2022 - 2026 Studies on rigorous integrator for infinite dimensional dynamical systems
2021 - 2024 無限次元力学系に対する計算機援用証明を通した国際共同研究
2018 - 2022 双曲型偏微分方程式に対する解の精度保証付き数値計算理論の研究
2015 - 2018 Studies on verified numerical computations for nonlinear parabolic partial differential equations

Papers (30)：

Chen, Chiang-Mei, Ishige, Toshimasa, Kim, Sang Pyo, Takayasu, Akitoshi, Wei, Chun-Yu. Monodromy approach to pair production of charged black holes and electric fields. CHINESE JOURNAL OF PHYSICS. 2023. 86. 255-268
Akira, Imakura, Keiichi, Morikuni, Akitoshi, Takayasu. Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2023. 424. 1-18
Lessard, Jean-Philippe, Matsue, Kaname, Takayasu, Akitoshi. Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature. JOURNAL OF NONLINEAR SCIENCE. 2023. 33. 3
Imakura, Akira, Morikuni, Keiichi, Takayasu, Akitoshi. Complex moment-based methods for differential eigenvalue problems. NUMERICAL ALGORITHMS. 2023. 92. 1:SI. 693-721
Jaquette, Jonathan, Lessard, Jean-Philippe, Takayasu, Akitoshi. Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Communications in Nonlinear Science and Numerical Simulation. 2022. 107

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Books (1)：

Lectures and oral presentations (121)：

A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory
(Workshop of Computational Science and Information Engineering 2024 (SCIE2024))
一般化固有値問題の精度保証付き数値計算の並列実装とその評価
(日本応用数理学会若手の会第9回学生研究発表会)
第二種チェビシェフ点に基づくスペクトル選点法を用いた微分方程式の数値計算
(日本応用数理学会若手の会第9回学生研究発表会)
Julia言語を用いたヤコビ多項式による補間とその精度保証
(日本応用数理学会若手の会第9回学生研究発表会)
チェビシェフ補間を用いた数学関数の精度保証付き数値計算
(日本応用数理学会第20回研究部会連合発表会)

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Professional career (1)：

Awards (9)：

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Association Membership(s) (3)：

The Mathematical Society of Japan , The Japan Society for Industrial and Applied Mathematics , JAPAN SOCIETY FOR SIMULATION TECHNOLOGY

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