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An interval approach to solve an initial value problem

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Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

This paper proposes an original guaranteed interval-based method to solve an Initial Value Problem (IVP) for ordinary differential equations (ODE). Our method uses the geometrical properties of the vector field given by the ODE and a state space discretization to compute an enclosure of the trajectories set that verifies the IVP problem.

Original languageEnglish
Title of host publicationNumerical Computations
Subtitle of host publicationTheory and Algorithms, NUMTA 2016: Proceedings of the 2nd International Conference "Numerical Computations: Theory and Algorithms"
EditorsYaroslav D. Sergeyev, Marat S. Mukhametzhanov, Francesco Dell'Accio, Marat S. Mukhametzhanov, Dmitri E. Kvasov, Yaroslav D. Sergeyev, Dmitri E. Kvasov
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735414389
DOIs
Publication statusPublished - 20 Oct 2016
Event2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016 - Pizzo Calabro, Italy
Duration: 19 Jun 2016 → 25 Jun 2016

Publication series

NameAIP Conference Proceedings
Volume1776
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference2nd International Conference on Numerical Computations: Theory and Algorithms, NUMTA 2016
Country/TerritoryItaly
CityPizzo Calabro
Period19/06/16 → 25/06/16

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