An algorithm for solving multi-point boundary value problems
type: Item
instance of: scholarly article
title: An algorithm for solving multi-point boundary value problems
zbMATH Open document ID: 0602.65060
DOI: 10.1007/BF02240097
published in: Computing
publication date: 1987-01-01T00:00:00Z
review text: We describe a method for computing solutions of multi-point boundary value problems, where the polychotomic structure of the underlying solution space is specifically exploited. After the system is integrated in a multiple shooting way, the resulting linear system is solved by a special decoupling algorithm that takes into account the fact that the dichotomy on each interval is potentially different (in contrast to the two point case). A number of examples sustains the theory.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B10
zbMATH DE Number: 3972111
zbMATH Keywords: multiple shooting
zbMATH Keywords: decoupling algorithm
zbMATH Keywords: dichotomy
zbMATH Keywords: polychotomy
zbMATH Keywords: numerical examples
author: F. R. De Hoog
author: R. M. M. Mattheij
MaRDI profile type: Publication
cites work: The numerical solution of multipoint boundary value problems
cites work: Q5327784
cites work: On Dichotomy and Well Conditioning in BVP
cites work: On the Conditioning of Multipoint and Integral Boundary Value Problems
cites work: Decoupling and Stability of Algorithms for Boundary Value Problems
cites work: On Optimal Shooting Intervals
cites work: An Efficient Algorithm for Solving General Linear Two-Point BVP
cites work: Multipoint boundary value problems with discontinuities. I. Algorithms and applications
full work available at URL: https://doi.org/10.1007/bf02240097
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description: scientific article; zbMATH DE number 3972111