The uniform \(L^2\) behavior for time discretization of an evolution equation
type: Item
instance of: scholarly article
title: The uniform \(L^2\) behavior for time discretization of an evolution equation
zbMATH Open document ID: 1029.65143
author: Da Xu
publication date: 2004-01-21T00:00:00Z
review text: The uniform \(L^2\) stability and convergence properties for the time discretization of an evolution equation with memory term are studied. The methods considered are based on the second-order backward difference approximation combined with the second-order convolution quadrature and interpolant quadrature approximating the integral.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 1921183
zbMATH Keywords: evolution equation with memory
zbMATH Keywords: time discretization
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: second-order backward difference approximation
zbMATH Keywords: second-order convolution quadrature
zbMATH Keywords: interpolant quadrature
MaRDI profile type: Publication
full work available at URL: s10114-002-0209-3
OpenAlex ID: W2322137470
cites work: A Numerical Method for a Partial Integro-Differential Equation
cites work: A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
cites work: Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
cites work: Numerical solution of an evolution equation with a positive-type memory term
cites work: The global behavior of time discretization for an abstract Volterra equation in Hilbert space
cites work: The long-time global behavior of time discretization for fractional order Volterra equations
cites work: Orthogonal Spline Collocation Methods for Some Partial Integrodifferential Equations
cites work: Convolution quadrature and discretized operational calculus. I
cites work: Q3247378
cites work: Q5820721
DOI: 10.1007/S10114-002-0209-3
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1921183