On convolution quadrature and Hille-Phillips operational calculus
type: Item
instance of: scholarly article
title: On convolution quadrature and Hille-Phillips operational calculus
zbMATH Open document ID: 0747.65013
DOI: 10.1016/0168-9274(92)90014-5
published in: Applied Numerical Mathematics
publication date: 1992-09-26T00:00:00Z
review text: Quadrature methods for the numerical approximation of convolution integrals and the numerical solution of convolution integral equations are derived. Convergence estimates and a numerical application are given.
reviewed by: S.Filippi
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 54673
zbMATH Keywords: Hille-Phillips operational calculus
zbMATH Keywords: multistep method
zbMATH Keywords: time-dependent Schrödinger equation
zbMATH Keywords: Quadrature methods
zbMATH Keywords: convolution integrals
zbMATH Keywords: convolution integral equations
zbMATH Keywords: Convergence estimates
author: Christian Lubich
MaRDI profile type: Publication
full work available at URL: 0168-9274(92)90014-5
OpenAlex ID: W2092552789
cites work: Besov spaces and applications to difference methods for initial value problems
cites work: A special stability problem for linear multistep methods
cites work: Uniform Error Estimates of Operational Quadrature Methods for Nonlinear Convolution Equations on the Half-Line
cites work: Fast numerical solution of weakly singular Volterra integral equations
cites work: Q3550030
cites work: The Rate of Convergence of Some Difference Schemes
cites work: Convolution quadrature and discretized operational calculus. II
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description: scientific article; zbMATH DE number 54673