Takehiko Kinoshita

Publication Activity (10 Years)

Years Active: 2008-2023
Publications (10 Years): 5

Top Topics

Poisson Equation

Boundary Value Problem

Error Estimates

Top Venues

J. Comput. Appl. Math.

Publications

Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao
Efficient Approaches for Verifying the Existence and Bound of Inverse of Linear Operators in Hilbert Spaces. J. Sci. Comput. 94 (2) (2023)
Takehiko Kinoshita, Yoshitaka Watanabe, Nobito Yamamoto, Mitsuhiro T. Nakao
Inclusion method of optimal constant with quadratic convergence for H01-projection error estimates and its applications. J. Comput. Appl. Math. 417 (2023)
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao
On Some Convergence Properties for Finite Element Approximations to the Inverse of Linear Elliptic Operators. Acta Cybern. 26 (1) (2022)
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao
Some lower bound estimates for resolvents of a compact operator on an infinite-dimensional Hilbert space. J. Comput. Appl. Math. 369 (2020)
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao
Regularities of the Poisson Equation on Polygonal Domains. MACIS (2015)
Takehiko Kinoshita, Yoshitaka Watanabe, Mitsuhiro T. Nakao
Some Remarks on the Rigorous Estimation of Inverse Linear Elliptic Operators. SCAN (2014)
Takehiko Kinoshita, Takuma Kimura, Mitsuhiro T. Nakao
On the a posteriori estimates for inverse operators of linear parabolic equations with applications to the numerical enclosure of solutions for nonlinear problems. Numerische Mathematik 126 (4) (2014)
Mitsuhiro T. Nakao, Takuma Kimura, Takehiko Kinoshita
Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation. SIAM J. Numer. Anal. 51 (3) (2013)
Yoshitaka Watanabe, Takehiko Kinoshita, Mitsuhiro T. Nakao
A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations. Math. Comput. 82 (283) (2013)
Takehiko Kinoshita, Mitsuhiro T. Nakao
Some Remarks on the Optimal Error Estimates for the Finite Element Method on the L-Shaped Domain. ITNG (2013)
Mitsuhiro T. Nakao, Takehiko Kinoshita, Takuma Kimura
On a posteriori estimates of inverse operators for linear parabolic initial-boundary value problems. Computing 94 (2-4) (2012)
Takehiko Kinoshita, Takuma Kimura, Mitsuhiro T. Nakao
A posteriori estimates of inverse operators for initial value problems in linear ordinary differential equations. J. Comput. Appl. Math. 236 (6) (2011)
Takehiko Kinoshita, Mitsuhiro T. Nakao
-projection. J. Comput. Appl. Math. 234 (2) (2010)
Mitsuhiro T. Nakao, Takehiko Kinoshita
On very accurate verification of solutions for boundary value problems by using spectral methods. JSIAM Lett. 1 (2009)
Mitsuhiro T. Nakao, Takehiko Kinoshita
Some remarks on the behaviour of the finite element solution in nonsmooth domains. Appl. Math. Lett. 21 (12) (2008)