On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups
type: Item
instance of: scholarly article
title: On positivity, shape, and norm-bound preservation of time-stepping methods for semigroups
zbMATH Open document ID: 1068.47050
author: Mihály Kovács
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: Using the Hille-Phillips functional calculus, the author investigates properties of \(C_0\)-semigroups which are preserved by time-discretization methods. In Banach lattices, positivy, concavity and \(B\)-shape are considered. Contractivy is also studied in Banach spaces. In this general setting, the author improves several known results of Bolley and Crouzeix.
Mathematics Subject Classification ID: 47D06
Mathematics Subject Classification ID: 47A60
zbMATH DE Number: 2157557
zbMATH Keywords: functional calculus
zbMATH Keywords: \(C_0\)-semigroups
zbMATH Keywords: time discretization methods
reviewed by: Pedro J. Miana
describes a project that uses: RODAS
MaRDI profile type: Publication
Wikidata QID: Q60580311
full work available at URL: j.jmaa.2004.09.069
OpenAlex ID: W2142641722
cites work: Q4717351
cites work: Q2716079
cites work: Long-term stability of variable stepsize approximations of semigroups
cites work: Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques
cites work: On Rational Approximations of Semigroups
cites work: Shape preserving properties of some positive linear operators on unbounded intervals
cites work: The stability of rational approximations of analytic semigroups
cites work: Q3254057
cites work: Preserving concavity in initial-boundary value problems of parabolic type and in its numerical solution
cites work: Q4011864
cites work: Q4000061
cites work: Functional calculi for linear operators in vector-valued \(L^p\)-spaces via the transference principle
cites work: High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems
cites work: Q3244654
cites work: Maximum norm contractivity of discretization schemes for the heat equation
cites work: Survey of the stability of linear finite difference equations
cites work: One-parameter semigroups of positive operators
cites work: A Stability Result for Sectorial Operators in Banach Bpaces
cites work: Contractivity in the numerical solution of initial value problems
cites work: Q4360234
cites work: What is the Laplace Transform?
DOI: 10.1016/J.JMAA.2004.09.069
description: scientific article; zbMATH DE number 2157557