On a class of vector additive difference schemes
type: Item
instance of: scholarly article
title: On a class of vector additive difference schemes
zbMATH Open document ID: 0824.65034
published in: Russian Mathematics
publication date: 1995-05-17T00:00:00Z
review text: The Cauchy problem \(dy/dt + Ay = 0\), \(y(0) = y_ 0\), where \(A\) (positive, self-conjugate) has an additive representation, is considered. A transformation to a symmetric vector problem is given, which allows to construct vector additive difference schemes. Two- and three-layer difference schemes are investigated and, for regularized difference schemes using the additive structure of \(A\), stability conditions are given.
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
zbMATH DE Number: 746052
zbMATH Keywords: Cauchy problem
zbMATH Keywords: vector additive difference schemes
zbMATH Keywords: stability
author: P. N. Vabishchevich
reviewed by: René Lamour
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 746052