Kouta Sekine

Publication Activity (10 Years)

Years Active: 2013-2022
Publications (10 Years): 7

Top Topics

Partial Solutions

Similar Problems

Top Venues

Comput. Math. Appl.

J. Comput. Appl. Math.

Publications

Kouta Sekine, Kazuaki Tanaka, Shin'ichi Oishi
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems. Comput. Math. Appl. 106 (2022)
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) (2021)
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) (2020)
Kouta Sekine, Mitsuhiro T. Nakao, Shin'ichi Oishi
A new formulation for the numerical proof of the existence of solutions to elliptic problems. CoRR (2019)
Kouta Sekine, Kazuaki Tanaka, Shin'ichi Oishi
Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems. CoRR (2019)
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 (2017)
Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin'ichi Oishi
Numerical verification of positiveness for solutions to semilinear elliptic problems. JSIAM Lett. 7 (2015)
Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi
Fast Verified Solutions of Sparse Linear Systems with H-matrices. Reliab. Comput. 19 (2) (2013)