A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques

P. Deuflhard; H. J. Pesch; P. Rentrop

doi:10.1007/BF01395950

A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques

P. Deuflhard, H. J. Pesch, P. Rentrop

Chair of Automotive Technology

Technical University of Munich

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

A modification of the well-known continuation (or homotopy) method for actual computation is worked out. Compared with the classical method, the modification seems to be a more reliable device for supplying useful initial data for shooting techniques. It is shown that computing time may be significantly reduced in the numerical solution of sensitive realistic two-point boundary value problems.

Original language	English
Pages (from-to)	327-343
Number of pages	17
Journal	Numerische Mathematik
Volume	26
Issue number	3
DOIs	https://doi.org/10.1007/BF01395950
State	Published - Sep 1976

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title = "A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques",

abstract = "A modification of the well-known continuation (or homotopy) method for actual computation is worked out. Compared with the classical method, the modification seems to be a more reliable device for supplying useful initial data for shooting techniques. It is shown that computing time may be significantly reduced in the numerical solution of sensitive realistic two-point boundary value problems.",

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AB - A modification of the well-known continuation (or homotopy) method for actual computation is worked out. Compared with the classical method, the modification seems to be a more reliable device for supplying useful initial data for shooting techniques. It is shown that computing time may be significantly reduced in the numerical solution of sensitive realistic two-point boundary value problems.

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A modified continuation method for the numerical solution of nonlinear two-point boundary value problems by shooting techniques

Abstract

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