Adaptive continuation algorithms with application to combustion problems
type: Item
instance of: scholarly article
title: Adaptive continuation algorithms with application to combustion problems
zbMATH Open document ID: 0678.65058
DOI: 10.1016/0168-9274(89)90013-5
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors consider a path following algorithm to solve \(F(x,\lambda)=0\), F: \(R^ n\times {\mathbb{R}}\to {\mathbb{R}}^ n\) arising from discretization of a two point boundary value problem for an ordinary differential equation. Focusing on paths with simple turning points without bifurcation, the authors add a trivial equation \(\lambda '=0\) in order to keep the sparse structure of the Jacobian of F. They discuss various adaptive gridding techniques as well as the numerical implementation in great detail and present several numerical examples, for example methane-air flames (46 reactions). The paper is well organized and well written.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 80A30
Mathematics Subject Classification ID: 80A25
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4111935
zbMATH Keywords: combustion
zbMATH Keywords: continuation
zbMATH Keywords: path following algorithm
zbMATH Keywords: simple turning points without bifurcation
zbMATH Keywords: adaptive gridding techniques
zbMATH Keywords: numerical examples
zbMATH Keywords: methane-air flames
author: Vincent Giovangigli
author: Mitchell D. Smooke
reviewed by: Martin Brokate
describes a project that uses: PLTMGC
describes a project that uses: ALCON
describes a project that uses: CHEMKIN
describes a project that uses: TRANSPORT
MaRDI profile type: Publication
full work available at URL: 0168-9274(89)90013-5
OpenAlex ID: W2029384898
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Wikidata QID: Q127305794
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