A convergence analysis of hopscotch methods for fourth order parabolic equations
type: Item
instance of: scholarly article
title: A convergence analysis of hopscotch methods for fourth order parabolic equations
zbMATH Open document ID: 0608.65078
DOI: 10.1007/BF01389630
author: Gerard L. G. Sleijpen
author: Jan ter Maten
published in: Numerische Mathematik
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/133113
review text: The authors consider the recursion \((I+C)U_{n+1}=BU_ n+(I+C)U_{n- 1}\) arising when a hopscotch method is applied to a fourth-order parabolic equation. The matrices B, C are real skew-Hermitian. A condition for the method to be stable is derived. It is not clear whether this condition is best possible or whether it holds when the coefficients of the original problem vary in space and time. In fact the well-known energy method yields all this information.
Mathematics Subject Classification ID: 65N40
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35K35
zbMATH DE Number: 3984516
zbMATH Keywords: semi-discretization
zbMATH Keywords: stability
zbMATH Keywords: finite differences
zbMATH Keywords: recursion
zbMATH Keywords: hopscotch method
zbMATH Keywords: fourth-order
reviewed by: J. D. P. Donnelly
describes a project that uses: Hopscotch
MaRDI profile type: Publication
cites work: A New Group Hopscotch Method for the Numerical Solution of Partial Differential Equations
cites work: Block Hopscotch Procedures for Second Order Parabolic Differential Equations
cites work: Hopscotch: a Fast Second-order Partial Differential Equation Solver
cites work: Q5526485
OpenAlex ID: W2015781334
description: scientific article; zbMATH DE number 3984516