Time step selection for the numerical solution of boundary value problems for parabolic equations

DOI10.1134/S0965542517020142zbMath1372.65247OpenAlexW2623495569MaRDI QIDQ2401110

A. O. Vasil'ev, Petr N. Vabishchevich

Publication date: 31 August 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517020142

zbMATH Keywords

algorithmnumerical resultsboundary value problemsparabolic equationimplicit difference schemestruncation error estimationtime step selection

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Time Step for Numerically Solving Parabolic Problems
• Numerical Methods for Evolutionary Differential Equations
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• A PRIORI ESTIMATION OF A TIME STEP FOR NUMERICALLY SOLVING PARABOLIC PROBLEMS
• Galerkin Finite Element Methods for Parabolic Problems
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