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Computability of differential equations

2021Book part Open access
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dc.contributor.authorGraça, Daniel
dc.contributor.authorZhong, Ning
dc.date.accessioned2021-04-14T08:50:47Z
dc.date.available2021-04-14T08:50:47Z
dc.date.issued2021
dc.description.abstractIn this chapter, we provide a survey of results concerning the computability and computational complexity of differential equations. In particular, we study the conditions which ensure computability of the solution to an initial value problem for an ordinary differential equation (ODE) and analyze the computational complexity of a computable solution. We also present computability results concerning the asymptotic behaviors of ODEs as well as several classically important partial differential equations.pt_PT
dc.description.versioninfo:eu-repo/semantics/acceptedVersionpt_PT
dc.identifier.urihttp://hdl.handle.net/10400.1/15378
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationComputing with Infinite Data
dc.relation.publisherversionhttps://www.springer.com/gp/book/9783030592332pt_PT
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectComputable analysispt_PT
dc.subjectDifferential equationspt_PT
dc.titleComputability of differential equationspt_PT
dc.typebook part
dspace.entity.typePublication
oaire.awardTitleComputing with Infinite Data
oaire.awardURIinfo:eu-repo/grantAgreement/EC/H2020/731143/EU
oaire.citation.titleHandbook of Computability and Complexity in Analysispt_PT
oaire.fundingStreamH2020
person.familyNameGraça
person.givenNameDaniel
person.identifier.ciencia-id2D11-56DE-3F11
person.identifier.orcid0000-0002-0330-833X
person.identifier.ridD-2335-2011
person.identifier.scopus-author-id8882791800
project.funder.identifierhttp://doi.org/10.13039/501100008530
project.funder.nameEuropean Commission
rcaap.rightsopenAccesspt_PT
rcaap.typebookPartpt_PT
relation.isAuthorOfPublicationba0c1461-5d2d-4f06-b648-df4a1a505bdf
relation.isAuthorOfPublication.latestForDiscoveryba0c1461-5d2d-4f06-b648-df4a1a505bdf
relation.isProjectOfPublication91d5c559-4d6b-4426-b034-c2aa0ab9311d
relation.isProjectOfPublication.latestForDiscovery91d5c559-4d6b-4426-b034-c2aa0ab9311d

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