Computability of Ordinary Differential Equations

In this paper we provide a brief review of several results about the computability of initial-value problems (IVPs) defined with ordinary differential equations (ODEs). We will consider a variety of settings and analyze how the computability of the IVP will be affected. Computational complexity resu...

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Bibliographic Details
Published inSailing Routes in the World of Computation Vol. 10936; pp. 204 - 213
Main Authors Graça, Daniel S., Zhong, Ning
Format Book Chapter
LanguageEnglish
Published Switzerland Springer International Publishing AG 2018
Springer International Publishing
SeriesLecture Notes in Computer Science
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Summary:In this paper we provide a brief review of several results about the computability of initial-value problems (IVPs) defined with ordinary differential equations (ODEs). We will consider a variety of settings and analyze how the computability of the IVP will be affected. Computational complexity results will also be presented, as well as computable versions of some classical theorems about the asymptotic behavior of ODEs.
ISBN:9783319944173
3319944177
ISSN:0302-9743
1611-3349
DOI:10.1007/978-3-319-94418-0_21