descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article 01 Jan 2018Publisher:Springer International PublishingFunded by:EC | CID

Authors: Graça, Daniel; Zhong, Ning;

doi: 10.1007/978-3-319-94418-0_21

handle: 10400.1/10882

Computability of Ordinary Differential Equations

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Abstract

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.

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