Linear stability of the hopscotch scheme
type: Item
instance of: scholarly article
title: Linear stability of the hopscotch scheme
zbMATH Open document ID: 0684.65089
DOI: 10.1016/0168-9274(89)90041-X
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: By aid of matrix analysis the spectral condition for the hopscotch difference scheme with a fixed space-time mesh is investigated, and a general theorem is proved. For the diffusion-convection equation in one space dimension the question of stability is analyzed for the odd-even scheme combined with central and one-sided finite differences. Comparison is made with von Neumann stability.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 35K20
zbMATH DE Number: 4121354
zbMATH Keywords: linear stability
zbMATH Keywords: spectral condition
zbMATH Keywords: hopscotch difference scheme
zbMATH Keywords: diffusion-convection equation
zbMATH Keywords: Comparison
zbMATH Keywords: von Neumann stability
author: Willem Hundsdorfer
author: J. G. Verwer
reviewed by: Rudolf Gorenflo
describes a project that uses: Hopscotch
MaRDI profile type: Publication
cites work: Q3687624
cites work: Nonsymmetric Difference Equations
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cites work: On the odd-even hopscotch scheme for the numerical integration of time- dependent partial differential equations
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description: scientific article; zbMATH DE number 4121354