High order explicit methods for parabolic equations
type: Item
instance of: scholarly article
title: High order explicit methods for parabolic equations
zbMATH Open document ID: 0909.65060
DOI: 10.1007/BF02512373
author: Alexei A. Medovikov
published in: BIT
publication date: 1998-10-06T00:00:00Z
review text: The author discusses how by use of Chebyshev alternation theory high-order explicit Runge-Kutta methods with a real stability interval as large as possible can be constructed. In particular, he presents methods of order three and four. He concludes with a report on their application to the large systems of ordinary differential equations (in time) obtained by spatial discretization of parabolic equations (e.g. the Burgers equation).
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 1206839
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: real stability interval
zbMATH Keywords: method of lines
zbMATH Keywords: nonlinear parabolic differential equations
zbMATH Keywords: Burgers equation
reviewed by: Rudolf Gorenflo
describes a project that uses: RKC
describes a project that uses: RODAS
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02512373
OpenAlex ID: W2080028253
description: scientific article; zbMATH DE number 1206839