Guaranteed error bounds for a class of Picard-Lindelöf iteration methods
| dc.contributor.author | Matsulevich, Svetlana | |
| dc.contributor.author | Neittaanmäki, Pekka | |
| dc.contributor.author | Repin, Sergey | |
| dc.contributor.editor | Repin, Sergey | |
| dc.contributor.editor | Tiihonen, Timo | |
| dc.contributor.editor | Tuovinen, Tero | |
| dc.date.accessioned | 2018-10-16T10:45:00Z | |
| dc.date.available | 2018-10-16T10:45:00Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Matsulevich, S., Neittaanmäki, P., & Repin, S. (2013). Guaranteed error bounds for a class of Picard-Lindelöf iteration methods. In S. Repin, T. Tiihonen, & T. Tuovinen (Eds.), <i>Numerical Methods for Differential Equations, Optimization, and Technological Problems. Dedicated to Professor P. Neittaanmäki on His 60th Birthday</i> (pp. 175-189). Springer. Computational Methods in Applied Sciences, 27. <a href="https://doi.org/10.1007/978-94-007-5288-7_10" target="_blank">https://doi.org/10.1007/978-94-007-5288-7_10</a> | |
| dc.identifier.other | CONVID_21748917 | |
| dc.identifier.other | TUTKAID_53122 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/59836 | |
| dc.description.abstract | We present a new version of the Picard-Lindelof method for ordinary dif- ¨ ferential equations (ODEs) supplied with guaranteed and explicitly computable upper bounds of an approximation error. The upper bounds are based on the Ostrowski estimates and the Banach fixed point theorem for contractive operators. The estimates derived in the paper take into account interpolation and integration errors and, therefore, provide objective information on the accuracy of computed approximations. | fi |
| dc.format.extent | 444 | |
| dc.language.iso | eng | |
| dc.publisher | Springer | |
| dc.relation.ispartof | Numerical Methods for Differential Equations, Optimization, and Technological Problems. Dedicated to Professor P. Neittaanmäki on His 60th Birthday | |
| dc.relation.ispartofseries | Computational Methods in Applied Sciences | |
| dc.rights | In Copyright | |
| dc.subject.other | a posteriori estimates | |
| dc.subject.other | elliptic boundary value problems | |
| dc.subject.other | guaranteed error bounds | |
| dc.subject.other | Picard-Lindelöf methods | |
| dc.title | Guaranteed error bounds for a class of Picard-Lindelöf iteration methods | |
| dc.type | bookPart | |
| dc.identifier.urn | URN:NBN:fi:jyu-201706283096 | |
| dc.contributor.laitos | Tietotekniikan laitos | fi |
| dc.contributor.laitos | Department of Mathematical Information Technology | en |
| dc.contributor.oppiaine | Tietotekniikka | fi |
| dc.contributor.oppiaine | Mathematical Information Technology | en |
| dc.type.uri | http://purl.org/eprint/type/BookItem | |
| dc.date.updated | 2017-06-28T03:16:05Z | |
| dc.relation.isbn | 978-94-007-5287-0 | |
| dc.type.coar | http://purl.org/coar/resource_type/c_3248 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 175-189 | |
| dc.relation.issn | 1871-3033 | |
| dc.rights.copyright | © Springer Science+Business Media Dordrecht 2013 | |
| dc.rights.accesslevel | openAccess | |
| dc.subject.yso | inversio-ongelmat | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27912 | |
| dc.rights.url | https://rightsstatements.org/page/InC/1.0/ | |
| dc.relation.doi | 10.1007/978-94-007-5288-7_10 | |
| dc.type.okm | A3 |
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