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Kouta Sekine
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Journal Articles
- 2022
- [j6]Kouta Sekine
, Kazuaki Tanaka, Shin'ichi Oishi:
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems. Comput. Math. Appl. 106: 18-26 (2022) - 2021
- [j5]Makoto Mizuguchi, Mitsuhiro T. Nakao, Kouta Sekine
, Shin'ichi Oishi:
Error Constants for the Semi-Discrete Galerkin Approximation of the Linear Heat Equation. J. Sci. Comput. 89(2): 34 (2021) - 2020
- [j4]Kouta Sekine
, Mitsuhiro T. Nakao, Shin'ichi Oishi:
A new formulation using the Schur complement for the numerical existence proof of solutions to elliptic problems: without direct estimation for an inverse of the linearized operator. Numerische Mathematik 146(4): 907-926 (2020) - 2017
- [j3]Kazuaki Tanaka
, Kouta Sekine
, Makoto Mizuguchi, Shin'ichi Oishi:
Sharp numerical inclusion of the best constant for embedding on bounded convex domain. J. Comput. Appl. Math. 311: 306-313 (2017) - 2015
- [j2]Kazuaki Tanaka
, Kouta Sekine
, Makoto Mizuguchi, Shin'ichi Oishi:
Numerical verification of positiveness for solutions to semilinear elliptic problems. JSIAM Lett. 7: 73-76 (2015) - 2013
- [j1]Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi:
Fast Verified Solutions of Sparse Linear Systems with H-matrices. Reliab. Comput. 19(2): 127-141 (2013)
Parts in Books or Collections
- 2019
- [p1]Shin'ichi Oishi, Yusuke Morikura, Kouta Sekine, Hisayasu Kuroda, Maho Nakata:
Techniques Concerning Computation Accuracy. The Art of High Performance Computing for Computational Science, Vol. 1 2019: 191-213
Informal and Other Publications
- 2019
- [i2]Kouta Sekine, Mitsuhiro T. Nakao, Shin'ichi Oishi:
A new formulation for the numerical proof of the existence of solutions to elliptic problems. CoRR abs/1910.00759 (2019) - [i1]Kouta Sekine, Kazuaki Tanaka, Shin'ichi Oishi:
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems. CoRR abs/1910.02200 (2019)
Coauthor Index
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