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Numerische Mathematik
Article
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Numerische Mathematik
Article . 1980 . Peer-reviewed
License: Springer TDM
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zbMATH Open
Article . 1980
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University of Regensburg Publication Server
Article . 1980
Full-Text: https://epub.uni-regensburg.de/11399/1/ubr04784_ocr.pdf
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https://dx.doi.org/10.1007/bf0...
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Enlarging the domain of convergence for multiple shooting by the homotopy method

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1980 Germany English Publisher:Springer Science and Business Media LLCJournal:Numerische Mathematik, volume 35, pages 231-240 (issn: 0029-599X, eissn: 0945-3245, Copyright policy )
Authors: Lory, P.;

doi: 10.1007/bf01396319

Enlarging the domain of convergence for multiple shooting by the homotopy method

Abstract

The homotopy method is a frequently used technique in overcoming the local convergence nature of multiple shooting. In this paper sufficient conditions are given that guarantee the homotopy process to be feasible. The results are applicable to a class of two-point boundary value problems. Finally, the numerical solution of two practical problems arising in physiology is described.

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Germany
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Keywords

Numerical solution of boundary value problems involving ordinary differential equations, 510.mathematics, Nonlinear boundary value problems for ordinary differential equations, ddc:330, 330 Wirtschaft, iterative process, homotopy method, multiple shooting, nonlinear two-point-boundary value problems, Article

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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