Computation of the singularity induced bifurcation points in DAEs via extended system reduction
type: Item
instance of: scholarly article
title: Computation of the singularity induced bifurcation points in DAEs via extended system reduction
zbMATH Open document ID: 1026.65065
DOI: 10.1016/S0168-9274(02)00143-5
author: Kamal H. Yasir
author: Yun Tang
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: This paper is concerned with the computation of singularly induced bifurcation points arising from parameter dependent differential-algebraic equations (DAGs). This is done by extended system reduction and associating the singularity induced bifurcation points with the equilibria points of the extended system, which can be computed by the Newton-Raphson method.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 1879019
zbMATH Keywords: singularity induced bifurcation
zbMATH Keywords: extended system reduction
zbMATH Keywords: differential-algebraic equation
zbMATH Keywords: Newton-Raphson method
MaRDI profile type: Publication
cites work: Impasse points. Part I: Numerical aspects
cites work: On impasse points of quasilinear differential-algebraic equations
cites work: Local bifurcations and feasibility regions in differential-algebraic systems
cites work: An improved version of the singularity-induced bifurcation theorem
description: scientific article; zbMATH DE number 1879019