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Kaname Matsue
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2020 – today
- 2023
- [j11]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) - 2021
- [j10]Kaname Matsue
, Tomohiro Hiwaki, Nobito Yamamoto:
Errata to "On the construction of Lyapunov functions with computer assistance" [J. Comp. Appl. Math. 319 (2017) 385-412]. J. Comput. Appl. Math. 384: 113175 (2021) - [i1]Jean-Philippe Lessard, Kaname Matsue, Akitoshi Takayasu:
A geometric characterization of unstable blow-up solutions with computer-assisted proof. CoRR abs/2103.12390 (2021) - 2020
- [j9]Kaname Matsue
, Akitoshi Takayasu:
Rigorous numerics of blow-up solutions for ODEs with exponential nonlinearity. J. Comput. Appl. Math. 374: 112607 (2020) - [j8]Yu Ichida, Kaname Matsue
, Takashi Okuda Sakamoto:
A refined asymptotic behavior of traveling wave solutions for degenerate nonlinear parabolic equations. JSIAM Lett. 12: 65-68 (2020) - [j7]Kaname Matsue
, Akitoshi Takayasu:
Numerical validation of blow-up solutions with quasi-homogeneous compactifications. Numerische Mathematik 145(3): 605-654 (2020)
2010 – 2019
- 2018
- [j6]Kaname Matsue
:
On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications. SIAM J. Appl. Dyn. Syst. 17(3): 2249-2288 (2018) - 2017
- [j5]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) - [j4]Kaname Matsue
, Tomohiro Hiwaki, Nobito Yamamoto:
On the construction of Lyapunov functions with computer assistance. J. Comput. Appl. Math. 319: 385-412 (2017) - [j3]Norio Konno, Kaname Matsue
, Hideo Mitsuhashi, Iwao Sato:
Quaternionic quantum walks of Szegedy type and zeta functions of graphs. Quantum Inf. Comput. 17(15&16): 1349-1371 (2017) - 2016
- [j2]Kaname Matsue
, Osamu Ogurisu, Etsuo Segawa
:
Quantum walks on simplicial complexes. Quantum Inf. Process. 15(5): 1865-1896 (2016) - 2011
- [j1]Kaname Matsue
:
Rigorous Verification of Bifurcations of Differential Equations via the Conley Index Theory. SIAM J. Appl. Dyn. Syst. 10(1): 325-359 (2011)
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