On the iterative inclusion of solutions in initial-value problems for ordinary differential equations

Name: On the iterative inclusion of solutions in initial-value problems for ordinary differential equations
Creator: H. Bauch
Keywords: Interval and finite arithmetic, Picard iteration, iterative procedures, 0101 mathematics, Numerical methods for initial value problems involving ordinary differential equations, 01 natural sciences

H. Bauch

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Article . 1979 . Peer-reviewed

License: Springer TDM

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https://dx.doi.org/10.1007/bf0...

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On the iterative inclusion of solutions in initial-value problems for ordinary differential equations

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1979 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 22, pages 339-354 (issn: 0010-485X, eissn: 1436-5057,

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Authors: H. Bauch;

doi: 10.1007/bf02265314

On the iterative inclusion of solutions in initial-value problems for ordinary differential equations

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Abstract

This note contains iterative procedures which bound the solution of initial value problems with the aid of interval analytical methods and possibilities for speeding up convergence.

Keywords

Interval and finite arithmetic, Picard iteration, iterative procedures, Numerical methods for initial value problems involving ordinary differential equations

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