Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation-Reference-Cited by-同舟云学术

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Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation

Published:2013-01 Issue:3 Volume:51 Page:1525-1541
ISSN:0036-1429
Container-title:SIAM Journal on Numerical Analysis
language:en
Short-container-title:SIAM J. Numer. Anal.

Author:

Nakao Mitsuhiro T.,Kimura Takuma,Kinoshita Takehiko

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Numerical Analysis,Applied Mathematics,Computational Mathematics

Link

http://epubs.siam.org/doi/pdf/10.1137/120875661

Reference29 articles.

1. Integration of Dissipative Partial Differential Equations: A Case Study

2. Multiple solutions for a semilinear boundary value problem: a computational multiplicity proof

3. Validated Continuation for Equilibria of PDEs

4. Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs

5. Rigorous computation of smooth branches of equilibria for the three dimensional Cahn–Hilliard equation

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1. Constructive Error Estimates for a Full-Discretized Periodic Solution of Heat Equation by Spatial Finite-Element and Time Spectral Method;2024

2. Improvement of the Constructive A Priori Error Estimates for a Fully Discretized Periodic Solution of Heat Equation;Computational Methods in Applied Mathematics;2022-05-26

3. Error Constants for the Semi-Discrete Galerkin Approximation of the Linear Heat Equation;Journal of Scientific Computing;2021-09-29

4. Rigorous FEM for One-Dimensional Burgers Equation;SIAM Journal on Applied Dynamical Systems;2021-01

5. Numerical Verification of Solutions for Nonlinear Parabolic Problems;Numerical Functional Analysis and Optimization;2020-06-12

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