Constructive error estimates for full discrete approximation of periodic solution for heat equation-Reference-Cited by-同舟云学术

Constructive error estimates for full discrete approximation of periodic solution for heat equation

Published:2020-04 Issue: Volume:368 Page:112510
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Kimura Takuma^ORCID,Minamoto Teruya,Nakao Mitsuhiro T.

Funder

JSPS, Japan

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference11 articles.

1. Error estimates for the numerical solution of a time-periodic linear parabolic problem;Hansbo;BIT,1991

2. Numerical approximation of a periodic linear parabolic problem;Bernardi;SIAM J. Numer. Anal.,1982

3. Rigorous numerics for dissipative PDEs III. An effective algorithm for rigorous integration of dissipative PDEs;Zgliczynski;Topol. Methods Nonlinear Anal.,2010

4. A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations;Figueras;SIAM J. Appl. Dyn. Syst.,2017

5. Constructive a priori error estimates for a full discrete approximation of the heat equation;Nakao;SIAM J. Numer. Anal.,2013

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