Error estimates for a projection-difference method for a linear differential-operator equation
type: Item
instance of: scholarly article
title: Error estimates for a projection-difference method for a linear differential-operator equation
zbMATH Open document ID: 1177.65076
DOI: 10.1134/S0012266108070094
author: P. V. Vinogradova
published in: Differential Equations
publication date: 2009-10-08T00:00:00Z
review text: The author studies a projection-difference method for the Cauchy problem \[ u^{\prime}(t)+A(t)u(t)+K(t)u(t)=h(t), \quad u(0)=0 \] with a principal self-adjoint operator coefficient \(A(t)\) and a subordinate linear operator \(K(t)\) with \(t\) - independent domains in a Hilbert space. The discretization in \(t\) is based on a three-level difference scheme. The resulting operator equation on each \(t\)-level is discretized by the Galerkin method with the appropriate chosen basic elements. An error estimate is given.
Mathematics Subject Classification ID: 65J08
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K90
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 5611106
zbMATH Keywords: first order differential equation with operator coefficients
zbMATH Keywords: three-level difference scheme in time
zbMATH Keywords: Galerkin discretization in space
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Hilbert space
zbMATH Keywords: error estimate
Wikidata QID: Q115252916
reviewed by: Iwan Gawriljuk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5611106