Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods
type: Item
instance of: scholarly article
title: Comparison of boundedness and monotonicity properties of one-leg and linear multistep methods
zbMATH Open document ID: 1306.65228
author: A. Mozartova
author: Igor Savostianov
author: Willem Hundsdorfer
published in: Journal of Computational and Applied Mathematics
publication date: 2015-01-06T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 6383529
zbMATH Keywords: initial value problem
zbMATH Keywords: method of lines
zbMATH Keywords: multistep methods
zbMATH Keywords: monotonicity
zbMATH Keywords: boundedness
zbMATH Keywords: strong-stability-preserving
zbMATH Keywords: one-leg method
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.cam.2014.10.025
OpenAlex ID: W2013213909
cites work: Q4122713
cites work: Q4714145
cites work: Q3059670
cites work: Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
cites work: Monotonicity-Preserving Linear Multistep Methods
cites work: On monotonicity and boundedness properties of linear multistep methods
cites work: Stepsize restrictions for boundedness and monotonicity of multistep methods
cites work: Stepsize Conditions for Boundedness in Numerical Initial Value Problems
cites work: Special boundedness properties in numerical initial value problems
cites work: Contractivity of Runge-Kutta methods
cites work: An extension and analysis of the Shu-Osher representation of Runge-Kutta methods
cites work: Representations of Runge--Kutta Methods and Strong Stability Preserving Methods
cites work: Q4435815
cites work: Solving Ordinary Differential Equations I
cites work: Positivity for explicit two-step methods in linear multistep and one-leg form
DOI: 10.1016/J.CAM.2014.10.025
Recommended article: On monotonicity and boundedness properties of linear multistep methods
Recommended article: Stepsize restrictions for boundedness and monotonicity of multistep methods
Recommended article: Convergence of linear multistep and one-leg methods for stiff nonlinear initial value problems
Recommended article: High-order linear multistep methods with general monotonicity and boundedness properties
Recommended article: Monotonicity-Preserving Linear Multistep Methods
Recommended article: Convergence results of one-leg and linear multistep methods for multiply stiff singular perturbation problems
Recommended article: The stability of one-step methods for nonlinear multipoint boundary-value problems
Recommended article: Q4879808
Recommended article: IMEX extensions of linear multistep methods with general monotonicity and boundedness properties
Recommended article: Q4868982
description: scientific article; zbMATH DE number 6383529