Jacobian reuse in explicit integrators for higher index DAEs
type: Item
instance of: scholarly article
title: Jacobian reuse in explicit integrators for higher index DAEs
zbMATH Open document ID: 0887.65076
DOI: 10.1016/S0168-9274(97)00052-4
author: Stephen L. Campbell
author: Yangchun Zhong
published in: Applied Numerical Mathematics
publication date: 1998-04-27T00:00:00Z
review text: The numerical solution of unstructured high index differential-algebraic equations (DAEs) is considered. It is proposed to solve by an explicit multistep method a so-called ``completion'', which is an ordinary differential equation whose solutions include those of the original DAE. The authors investigate the possibility of reusing the Jacobian in the computation of the completion by Gauss-Newton techniques. This leads to the consideration of discontinuous vector fields. Their numerical integration is investigated, the theoretical results are illustrated at several examples, and comparisons with the code RADAU5 are presented.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1100602
zbMATH Keywords: differential-algebraic equations
zbMATH Keywords: multistep methods
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: numerical examples
reviewed by: Ernst Hairer
MaRDI profile type: Publication
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full work available at URL: s0168-9274(97)00052-4
OpenAlex ID: W2004409059
description: scientific article; zbMATH DE number 1100602