Akitoshi Takayasu
University of Tsukuba
H-index: 10
Asia-Japan
Top articles of Akitoshi Takayasu
Title | Journal | Author(s) | Publication Date |
|---|---|---|---|
A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory | arXiv preprint arXiv:2402.00406 | Gabriel William Duchesne Jean-Philippe Lessard Akitoshi Takayasu | 2024/2/1 |
Complex moment-based methods for differential eigenvalue problems | Numerical Algorithms | Akira Imakura Keiichi Morikuni Akitoshi Takayasu | 2023/1 |
Monodromy approach to pair production of charged black holes and electric fields | Chinese Journal of Physics | Chiang-Mei Chen Toshimasa Ishige Sang Pyo Kim Akitoshi Takayasu Chun-Yu Wei | 2023/12/1 |
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature | Journal of Nonlinear Science | Jean-Philippe Lessard Kaname Matsue Akitoshi Takayasu | 2023/6 |
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh–Ritz procedure for generalized Hermitian eigenvalue problems | Journal of Computational and Applied Mathematics | Akira Imakura Keiichi Morikuni Akitoshi Takayasu | 2023/5/1 |
Global dynamics in nonconservative nonlinear Schrödinger equations | Advances in Mathematics | Jonathan Jaquette Jean-Philippe Lessard Akitoshi Takayasu | 2022/3/26 |
Multi-order asymptotic expansion of blow-up solutions for autonomous ODEs. II--Dynamical Correspondence | arXiv preprint arXiv:2211.06868 | Hisatoshi Kodani Kaname Matsue Hiroyuki Ochiai Akitoshi Takayasu | 2022/11/13 |
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time | Numerische Mathematik | Akitoshi Takayasu Jean-Philippe Lessard Jonathan Jaquette Hisashi Okamoto | 2022/7 |
Rigorous numerics for nonlinear heat equations in the complex plane of time | Numerische Mathematik | Akitoshi Takayasu Jean-Philippe Lessard Jonathan Jaquette Hisashi Okamoto | 2022/7 |
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity | Communications in Nonlinear Science and Numerical Simulation | Jonathan Jaquette Jean-Philippe Lessard Akitoshi Takayasu | 2022/4/1 |
A rigorous forward integration method for time-dependent PDEs | SCAN-2020 | Akitoshi Takayasu Jean-Philippe Lessard | 2021/9/13 |
A geometric characterization of unstable blow-up solutions with computer-assisted proof | arXiv preprint arXiv:2103.12390 | Jean-Philippe Lessard Kaname Matsue Akitoshi Takayasu | 2021/3/23 |
Verifying partial eigenvalues of Hermitian generalized eigenproblems using contour integrals | XXI Householder Symposium on Numerical Linear Algebra | Akira Imakura Keiichi Morikuni Akitoshi Takayasu | 2020/6/14 |
Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems | Journal of Computational and Applied Mathematics | Akira Imakura Keiichi Morikuni Akitoshi Takayasu | 2020/5/1 |
A computer-assisted proof for nonlinear heat equations in the complex plane of time (Regularity and Asymptotic Analysis for Critical Cases of Partial Differential Equations) | 数理解析研究所講究録別冊 | Akitoshi Takayasu | 2020 |
Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity | Journal of Computational and Applied Mathematics | Kaname Matsue Akitoshi Takayasu | 2020/8/15 |
Numerical validation of blow-up solutions with quasi-homogeneous compactifications | Numerische Mathematik | Kaname Matsue Akitoshi Takayasu | 2020/7 |
Co-Authors
