Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
type: Item
instance of: scholarly article
title: Modified extended backward differentiation formulae for the numerical solution of stiff initial value problems in ODEs and DAEs
zbMATH Open document ID: 0971.65063
DOI: 10.1016/S0377-0427(00)00463-5
published in: Journal of Computational and Applied Mathematics
publication date: 2001-02-18T00:00:00Z
review text: The author surveys some of the more important theory associated with the formulae in the well-known backward differentiation formulae (BDF) and in the modified extended backward differentiation formulae (MEBDF) for solving stiff initial value problems numerically. By considering the solution of damped oscillatory problems, the author discusses some of the practical applications. He also describes some significant recent extensions to the applicability of MEBDF codes.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 65L80
zbMATH DE Number: 1566007
zbMATH Keywords: differential algebraic equations
zbMATH Keywords: modified extended backward differentiation formulae
zbMATH Keywords: stiff initial value problems
zbMATH Keywords: damped oscillatory problems
author: Jeff R. Cash
reviewed by: K. T. S. Iyengar
describes a project that uses: MEBDF
describes a project that uses: RODAS
describes a project that uses: DESI
MaRDI profile type: Publication
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full work available at URL: s0377-0427(00)00463-5
OpenAlex ID: W1971566374
description: scientific article; zbMATH DE number 1566007