Numerical solution of DAE systems using block BDF methods
type: Item
instance of: scholarly article
title: Numerical solution of DAE systems using block BDF methods
zbMATH Open document ID: 0855.65082
DOI: 10.1016/0377-0427(94)00111-1
author: Ian T. Cameron
author: Jia-Xiang Xiang
published in: Journal of Computational and Applied Mathematics
publication date: 1996-07-15T00:00:00Z
review text: A class of one-step methods with high stage order is presented. The intention is to use each of the internal stages as an output point which is why the authors describe their methods as block backward differentiation formula (BDF) methods rather than as traditional one-step methods. It is shown how to construct the methods and results on existence and numerical stability of the solution are presented. The convergence of the methods for systems of differential algebraic equations (DAEs) are also addressed and some numerical results are given.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 903477
zbMATH Keywords: block backward differentiation formula methods
zbMATH Keywords: one-step methods
zbMATH Keywords: numerical stability
zbMATH Keywords: convergence
zbMATH Keywords: systems of differential algebraic equations
zbMATH Keywords: numerical results
reviewed by: Claus Bendtsen
MaRDI profile type: Publication
full work available at URL: 0377-0427(94)00111-1
OpenAlex ID: W2103053516
cites work: Solution of Differential—Algebraic Systems Using Diagonally Implicit Runge—Kutta Methods
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cites work: Block Implicit One-Step Methods
cites work: Analysis of descriptor systems using numerical algorithms
cites work: A-stable block implicit one-step methods
cites work: Q3030153
description: scientific article; zbMATH DE number 903477