Regularization of index-1 differential-algebraic equations with rank-deficient constraints
type: Item
instance of: scholarly article
title: Regularization of index-1 differential-algebraic equations with rank-deficient constraints
zbMATH Open document ID: 0913.65064
DOI: 10.1016/S0898-1221(98)00004-2
publication date: 1999-05-25T00:00:00Z
review text: When a semi-explicit differential-algebraic equation of index-1 has a singularity in the constraints at a single point, it may happen that the solution is well defined through-out the singularity. In order to solve problems of this kind numerically, the authors apply regularization. Convergence is proved for linear differential-algebraic equations, and numerical examples are included for some linear, as well as nonlinear problems.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 1192724
zbMATH Keywords: singular differential algebraic equation
zbMATH Keywords: regularization
zbMATH Keywords: optimization
zbMATH Keywords: index-1
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
zbMATH Keywords: linear
zbMATH Keywords: nonlinear
author: Peter K. Moore
author: Linda Petzold
author: Yu He Ren
reviewed by: Claus Bendtsen
MaRDI profile type: Publication
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full work available at URL: s0898-1221(98)00004-2
OpenAlex ID: W2031560296
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1192724