Solving nonlinear parabolic problems with result verification. Part I: one-space dimensional case-Reference-Cited by-同舟云学术

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Solving nonlinear parabolic problems with result verification. Part I: one-space dimensional case

Published:1991-12 Issue:1-3 Volume:38 Page:323-334
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Nakao Mitsuhiro T.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference24 articles.

1. Finite Element Solution of Boundary Value Problems;Axelsson,1984

2. Elliptic Problems in Nonsmooth Domains;Grisvard,1983

3. Validating computation in a function space;Kaucher,1988

4. Self-validating Numerics for Function Space Problems;Kaucher,1984

5. A posteriori bounds for two-point boundary value problems;Kedem;SIAM J. Numer. Anal.,1982

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1. Validated integration of semilinear parabolic PDEs;Numerische Mathematik;2024-06-04

2. Rigorous numerical inclusion of the blow-up time for the Fujita-type equation;Japan Journal of Industrial and Applied Mathematics;2022-11-05

3. 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

4. Global dynamics in nonconservative nonlinear Schrödinger equations;Advances in Mathematics;2022-03

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

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