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Numerical Algorithms for the Parametric Continuation of Stiff ODEs Deriving from the Modeling of Combustion with Detailed Chemical Mechanisms Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Set-Membership Computation of Integrals with Uncertain Endpoints

Authors : Olivier Mullier, Julien Alexandre dit Sandretto

Published in: Numerical Computations: Theory and Algorithms

Publisher: Springer International Publishing

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Abstract

An efficient guaranteed method for the computation of the integral of a nonlinear continuous function between two interval endpoints is proposed. This computation can be of interest for the computation of global optimization problems where such integrals occur like in robotics. The method results in the computation of the minimum and maximum of these integrals and provides the endpoints at stake. The complexity of the resulting algorithms is discussed, it depends on the number of roots of the function to be integrated. The computation is illustrated on several examples.

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Metadata
Title
Set-Membership Computation of Integrals with Uncertain Endpoints
Authors
Olivier Mullier
Julien Alexandre dit Sandretto
Copyright Year
2020
Book
Numerical Computations: Theory and Algorithms

Print ISBN: 978-3-030-40615-8

Electronic ISBN: 978-3-030-40616-5

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-40616-5_13

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