CONKUB: A conversational path-follower for systems of nonlinear equations
type: Item
instance of: scholarly article
title: CONKUB: A conversational path-follower for systems of nonlinear equations
zbMATH Open document ID: 0588.65037
DOI: 10.1016/0021-9991(86)90084-7
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: We describe an interactive computer program to trace solutions of systems of nonlinear algebraic equations and illustrate its application to solve several difficult problems. Turning points and bifurcations are located and solution branches are identified and traced interactively. Of special interest is its application to study solutions of large, sparse systems of nonlinear equations that result from the discretization of boundary value problems. Such systems arise in the description of physical, biological, and chemical phenomena. As an example, we show a model of urine formation in the mammalian kidney, where path-following in a subspace makes tracing the solution surface possible.
Mathematics Subject Classification ID: 65H17
Mathematics Subject Classification ID: 92Cxx
zbMATH DE Number: 3945263
zbMATH Keywords: Turning points
zbMATH Keywords: bifurcations
zbMATH Keywords: solution branches
zbMATH Keywords: path-following
author: Raymond Mejia
describes a project that uses: PITCON
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90084-7
OpenAlex ID: W2028931640
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description: scientific article; zbMATH DE number 3945263