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ORCIDAkitoshi Takayasu
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2020 – today
- 2024
[i4]Gabriel William Duchesne, Jean-Philippe Lessard, Akitoshi Takayasu:
A rigorous integrator and global existence for higher-dimensional semilinear parabolic PDEs via semigroup theory. CoRR abs/2402.00406 (2024)- 2023
- [j13]Akira Imakura
, Keiichi Morikuni, Akitoshi Takayasu:
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. J. Comput. Appl. Math. 424: 114994 (2023) - [j12]Jean-Philippe Lessard, Kaname Matsue, Akitoshi Takayasu:
Saddle-Type Blow-Up Solutions with Computer-Assisted Proofs: Validation and Extraction of Global Nature. J. Nonlinear Sci. 33(3): 46 (2023) - [j11]Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu:
Complex moment-based methods for differential eigenvalue problems. Numer. Algorithms 92(1): 693-721 (2023) - 2022
- [j10]Jonathan Jaquette, Jean-Philippe Lessard, Akitoshi Takayasu:
Singularities and heteroclinic connections in complex-valued evolutionary equations with a quadratic nonlinearity. Commun. Nonlinear Sci. Numer. Simul. 107: 106188 (2022) - [j9]Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto:
Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik 151(3): 693-750 (2022) - [j8]Akitoshi Takayasu, Jean-Philippe Lessard, Jonathan Jaquette, Hisashi Okamoto:
Correction to: Rigorous numerics for nonlinear heat equations in the complex plane of time. Numerische Mathematik 151(3): 751-752 (2022) - [i3]Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu:
Complex moment-based methods for differential eigenvalue problems. CoRR abs/2205.00971 (2022) - 2021
- [i2]Jean-Philippe Lessard, Kaname Matsue, Akitoshi Takayasu:
A geometric characterization of unstable blow-up solutions with computer-assisted proof. CoRR abs/2103.12390 (2021) - [i1]Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu:
Verified eigenvalue and eigenvector computations using complex moments and the Rayleigh-Ritz procedure for generalized Hermitian eigenvalue problems. CoRR abs/2110.01822 (2021) - 2020
- [j7]Akira Imakura, Keiichi Morikuni, Akitoshi Takayasu:
Verified partial eigenvalue computations using contour integrals for Hermitian generalized eigenproblems. J. Comput. Appl. Math. 369 (2020) - [j6]Kaname Matsue, Akitoshi Takayasu:
Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity. J. Comput. Appl. Math. 374: 112607 (2020) - [j5]Kaname Matsue, Akitoshi Takayasu:
Numerical validation of blow-up solutions with quasi-homogeneous compactifications. Numerische Mathematik 145(3): 605-654 (2020)
2010 – 2019
- 2017
- [j4]Akitoshi Takayasu, Kaname Matsue, Takiko Sasaki, Kazuaki Tanaka, Makoto Mizuguchi, Shin'ichi Oishi:
Numerical validation of blow-up solutions of ordinary differential equations. J. Comput. Appl. Math. 314: 10-29 (2017) - [j3]Makoto Mizuguchi, Akitoshi Takayasu, Takayuki Kubo, Shin'ichi Oishi:
Numerical verification for existence of a global-in-time solution to semilinear parabolic equations. J. Comput. Appl. Math. 315: 1-16 (2017) - [j2]Makoto Mizuguchi, Akitoshi Takayasu, Takayuki Kubo, Shin'ichi Oishi:
A Method of Verified Computations for Solutions to Semilinear Parabolic Equations Using Semigroup Theory. SIAM J. Numer. Anal. 55(2): 980-1001 (2017) - 2016
- [j1]Neil Hoffman, Kazuhiro Ichihara, Masahide Kashiwagi, Hidetoshi Masai, Shin'ichi Oishi, Akitoshi Takayasu:
Verified Computations for Hyperbolic 3-Manifolds. Exp. Math. 25(1): 66-78 (2016) - 2015
- [c1]Akitoshi Takayasu, Makoto Mizuguchi, Takayuki Kubo, Shin'ichi Oishi:
Verified Computations for Solutions to Semilinear Parabolic Equations Using the Evolution Operator. MACIS 2015: 218-223
Coauthor Index
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