Rosenbrock-type `peer' two-step methods
type: Item
instance of: scholarly article
title: Rosenbrock-type `peer' two-step methods
zbMATH Open document ID: 1072.65107
author: R. Weiner
author: H. Podhaisky
author: B. A. Schmitt
published in: Applied Numerical Mathematics
publication date: 2005-04-21T00:00:00Z
review text: The authors construct \(s\)-stage methods for solving initial value problems for stiff ordinary differential equations where all stage values have stage order \(s-1.\) The proposed class of methods is stable in the sense of zero-stability for arbitrary stepsize sequences. Using the concept of effective order the authors derive methods having order \(s\) for constant stepsizes.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 2160271
zbMATH Keywords: Stiff systems
zbMATH Keywords: parallel computation
zbMATH Keywords: Peer methods
zbMATH Keywords: Rosenbrock methods
zbMATH Keywords: general linear methods
zbMATH Keywords: stability
reviewed by: Vladimir L. Makarov
describes a project that uses: ROS3P
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.08.021
OpenAlex ID: W2022152008
cites work: The construction of practical general linear methods
cites work: Order and effective order
cites work: Q4445112
cites work: Q4714145
cites work: Construction of highly stable two-step W-methods for ordinary differential equations
cites work: Difference Methods for Stiff Ordinary Differential Equations
cites work: ROS3P -- An accurate third-order Rosenbrock solver designed for parabolic problems
cites work: Design, analysis and testing of some parallel two-step W-methods for stiff systems
cites work: Linearly-implicit two-step methods and their implementation in Nordsieck form
cites work: Parallel Two-Step W-Methods with Peer Variables
cites work: Implicit parallel peer methods for stiff initial value problems
cites work: Multi-implicit peer two-step W-methods for parallel time integration
cites work: Adaptive method of lines
cites work: Parallel `peer' two-step W-methods and their application to MOL-systems.
DOI: 10.1016/J.APNUM.2004.08.021
description: scientific article; zbMATH DE number 2160271