On strong stability preserving time discretization methods
type: Item
instance of: scholarly article
title: On strong stability preserving time discretization methods
zbMATH Open document ID: 1074.65095
DOI: 10.1023/B:JOMP.0000030075.59237.61
author: Inmaculada Higueras
published in: Journal of Scientific Computing
publication date: 2005-04-07T00:00:00Z
review text: This paper concerns the following initial value problem \[ u'(t)=f(t,u(t)),\;t\geq t_0,\quad u(t_0)=u_0 \] such that its solution satisfies a monotonicity property: \[ \| u(t)\|\leq \| u(t_0)\|,\quad \forall t\geq t_0, \] for a given norm \(\|\cdot\|\). The monotonicity for Runge-Kutta methods is investigated. A review of some known results is done. These results are compared with those obtained in the strong stability preserving (SSP) context.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 2153853
zbMATH Keywords: strong-stability preserving
zbMATH Keywords: monotonicity
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: comparison of methods
zbMATH Keywords: initial value problem
MaRDI profile type: Publication
full work available at URL: b:jomp.0000030075.59237.61
OpenAlex ID: W2034099672
description: scientific article; zbMATH DE number 2153853