dc.contributor.author | Matculevich, Svetlana | |
dc.date.accessioned | 2012-02-15T09:25:26Z | |
dc.date.available | 2012-02-15T09:25:26Z | |
dc.date.issued | 2012 | |
dc.identifier.other | oai:jykdok.linneanet.fi:1193970 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/37373 | |
dc.description.abstract | This study focuses on iteration methods based on the Banach fixed point
theorem and a posteriori error estimates of Ostrowski. Their application for systems of linear simultaneous equations, bounded linear operators, as well as integral and differential equations is considered. The study presents a new version of the Picard–Lindelöf method for ordinary differential equations (ODEs) supplied with guaranteed and explicitly computable upper bounds of the approximation error. The estimates derived in the thesis take into account interpolation and integration errors and, therefore, provide objective information on the accuracy of computed approximations. | |
dc.format.extent | 74 sivua | |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.rights | This publication is copyrighted. You may download, display and
print it for Your own personal use. Commercial use is
prohibited. | en |
dc.rights | Julkaisu on tekijänoikeussäännösten alainen. Teosta voi lukea ja tulostaa henkilökohtaista käyttöä varten. Käyttö kaupallisiin tarkoituksiin on kielletty. | fi |
dc.subject.other | Error estimates | |
dc.subject.other | iterative method | |
dc.subject.other | reliability | |
dc.subject.other | the Picard–Lindelöf method | |
dc.subject.other | guaranteed bounds | |
dc.title | Guaranteed error bounds for linear algebra problems and a class of Picard-Lindelöf iteration methods | |
dc.identifier.urn | URN:NBN:fi:jyu-201202151181 | |
dc.type.dcmitype | Text | en |
dc.type.ontasot | Pro gradu -tutkielma | fi |
dc.type.ontasot | Master’s thesis | en |
dc.contributor.tiedekunta | Informaatioteknologian tiedekunta | fi |
dc.contributor.tiedekunta | Faculty of Information Technology | en |
dc.contributor.laitos | Tietotekniikan laitos | fi |
dc.contributor.laitos | Department of Mathematical Information Technology | en |
dc.contributor.yliopisto | University of Jyväskylä | en |
dc.contributor.yliopisto | Jyväskylän yliopisto | fi |
dc.contributor.oppiaine | Tietotekniikka | fi |
dc.contributor.oppiaine | Mathematical Information Technology | en |
dc.date.updated | 2012-02-15T09:25:27Z | |
dc.rights.accesslevel | openAccess | fi |
dc.type.publication | masterThesis | |
dc.contributor.oppiainekoodi | 602 | |
dc.subject.yso | iterointi | |
dc.subject.yso | luotettavuus | |
dc.format.content | fulltext | |
dc.type.okm | G2 | |