Multistep methods for differential algebraic equations
type: Item
instance of: scholarly article
title: Multistep methods for differential algebraic equations
zbMATH Open document ID: 0841.65063
DOI: 10.1007/BF02140771
author: Xiaopu Yan
published in: Numerical Algorithms
publication date: 1996-07-14T00:00:00Z
review text: Multistep methods for specially structured implicit nonlinear differential algebraic equations under index 1 conditions are considered. The existence and uniqueness of a numerical solution is shown. There is no discussion about the progress of this paper in comparison to previous ones, e.g. \textit{E. Griepentrog} and \textit{R. März} [Differential-algebraic equations and their numerical treatment (1986; Zbl 0629.65080)], which deals with this topic under more general assumptions.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 826912
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: iterative method
zbMATH Keywords: multistep method
zbMATH Keywords: implicit nonlinear differential algebraic equations
zbMATH Keywords: index 1
reviewed by: René Lamour
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02140771
OpenAlex ID: W2083018970
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description: scientific article; zbMATH DE number 826912