A Taylor model toolbox for solving ODEs implemented in MATLAB/INTLAB

The new INTLAB release V11 contains two verified ODE solvers. One is a MATLAB implementation of Lohner’s classical AWA, the other one follows the so-called Taylor model approach which is the main subject of this article.

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Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 368; p. 112511
Main Author Bünger, Florian
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.04.2020
Subjects
Initial value problems
Ordinary differential equations
Taylor models
65L05
Ordinary differential equations
Taylor models
Initial value problems
65G20
34-04
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Summary:The new INTLAB release V11 contains two verified ODE solvers. One is a MATLAB implementation of Lohner’s classical AWA, the other one follows the so-called Taylor model approach which is the main subject of this article.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2019.112511