Shadowing and the viability kernel algorithm

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Abstract

The aim of this paper is to derive estimates for the accuracy of the Viability Kernel Algorithm for systems which have shadowing properties. Recently developed shadowing results are applied in order to prove for a certain class of right hand sides that the algorithm has the same convergence properties as fully discretized numerical methods on a finite time interval.

Original languageEnglish
Pages (from-to)429-441
Number of pages13
JournalApplied Mathematics and Optimization
Volume60
Issue number3
DOIs
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Shadowing
  • Viability kernel algorithm

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