Kouta Sekine

According to our database, Kouta Sekine authored at least 8 papers between 2013 and 2022.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2022

Inverse norm estimation of perturbed Laplace operators and corresponding eigenvalue problems.

Kouta Sekine, Kazuaki Tanaka, Shin'ichi Oishi

Comput. Math. Appl., 2022

2021

Error Constants for the Semi-Discrete Galerkin Approximation of the Linear Heat Equation.

Makoto Mizuguchi, Mitsuhiro T. Nakao, Kouta Sekine, Shin'ichi Oishi

J. Sci. Comput., 2021

2020

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.

Kouta Sekine, Mitsuhiro T. Nakao, Shin'ichi Oishi

Numerische Mathematik, 2020

2019

A new formulation for the numerical proof of the existence of solutions to elliptic problems.

Kouta Sekine, Mitsuhiro T. Nakao, Shin'ichi Oishi

CoRR, 2019

Techniques Concerning Computation Accuracy.

Shin'ichi Oishi, Yusuke Morikura, Kouta Sekine, Hisayasu Kuroda, Maho Nakata

Proceedings of the Art of High Performance Computing for Computational Science, 2019

2017

Sharp numerical inclusion of the best constant for embedding on bounded convex domain.

Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin'ichi Oishi

J. Comput. Appl. Math., 2017

2015

Numerical verification of positiveness for solutions to semilinear elliptic problems.

Kazuaki Tanaka, Kouta Sekine, Makoto Mizuguchi, Shin'ichi Oishi

JSIAM Lett., 2015

2013

Fast Verified Solutions of Sparse Linear Systems with H-matrices.

Atsushi Minamihata, Kouta Sekine, Takeshi Ogita, Shin'ichi Oishi

Reliab. Comput., 2013