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dc.contributor.authorMatsulevich, Svetlana
dc.contributor.authorNeittaanmäki, Pekka
dc.contributor.authorRepin, Sergey
dc.contributor.editorRepin, Sergey
dc.contributor.editorTiihonen, Timo
dc.contributor.editorTuovinen, Tero
dc.date.accessioned2018-10-16T10:45:00Z
dc.date.available2018-10-16T10:45:00Z
dc.date.issued2013
dc.identifier.citationMatsulevich, 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.isbn978-94-007-5287-0
dc.identifier.otherCONVID_21748917
dc.identifier.otherTUTKAID_53122
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/59836
dc.description.abstractWe 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.extent444
dc.language.isoeng
dc.publisherSpringer
dc.relation.ispartofNumerical Methods for Differential Equations, Optimization, and Technological Problems. Dedicated to Professor P. Neittaanmäki on His 60th Birthday
dc.relation.ispartofseriesComputational Methods in Applied Sciences
dc.rightsIn Copyright
dc.subject.othera posteriori estimates
dc.subject.otherelliptic boundary value problems
dc.subject.otherguaranteed error bounds
dc.subject.otherPicard-Lindelöf methods
dc.titleGuaranteed error bounds for a class of Picard-Lindelöf iteration methods
dc.typebookPart
dc.identifier.urnURN:NBN:fi:jyu-201706283096
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/BookItem
dc.date.updated2017-06-28T03:16:05Z
dc.relation.isbn978-94-007-5287-0
dc.type.coarhttp://purl.org/coar/resource_type/c_3248
dc.description.reviewstatuspeerReviewed
dc.format.pagerange175-189
dc.relation.issn1871-3033
dc.rights.copyright© Springer Science+Business Media Dordrecht 2013
dc.rights.accesslevelopenAccessfi
dc.subject.ysoinversio-ongelmat
jyx.subject.urihttp://www.yso.fi/onto/yso/p27912
dc.rights.urlhttp://rightsstatements.org/page/InC/1.0/?language=en
dc.relation.doi10.1007/978-94-007-5288-7_10
dc.type.okmA3


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