Shadowing and the Viability Kernel Algorithm

Shadowing and the Viability Kernel Algorithm 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

Shadowing and the Viability Kernel Algorithm

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Publisher
Springer-Verlag
Copyright
Copyright © 2009 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-009-9083-z
Publisher site
See Article on Publisher Site

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.

Journal

Applied Mathematics and OptimizationSpringer Journals

Published: Dec 1, 2009

References

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