Fully reliable a posteriori error control for evolutionary problems
| dc.contributor.author | Matculevich, Svetlana | |
| dc.date.accessioned | 2015-10-19T07:11:05Z | |
| dc.date.available | 2015-10-19T07:11:05Z | |
| dc.date.issued | 2015 | |
| dc.identifier.isbn | 978-951-39-6291-3 | |
| dc.identifier.other | oai:jykdok.linneanet.fi:1497835 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/47320 | |
| dc.format.extent | 1 verkkoaineisto (119 sivua) | |
| dc.language.iso | eng | |
| dc.publisher | University of Jyväskylä | |
| dc.relation.ispartofseries | Jyväskylä studies in computing | |
| dc.relation.haspart | <b>Article I:</b> S. Matculevich, P. Neittaanmäki, and S. Repin. Guaranteed error bounds for a class of Picard-Lindelöf iteration methods. Numerical methods for differential equations, optimization, and technological problems, <i>Comput. Methods Appl. Sci., 27: 175–189, 2013. </i> | |
| dc.relation.haspart | <b>Article II:</b> S. Matculevich and S. Repin. Computable estimates of the distance to the exact solution of the evolutionary reaction-diffusion equation. <i>Applied Mathematics and Computation, 247: 329–347, 2014. </i><a href="http://dx.doi.org/ 10.1016/j.amc.2014.08.055 " target="_blank">DOI: 10.1016/j.amc.2014.08.055 </a> | |
| dc.relation.haspart | <b>Article III:</b> S. Matculevich, P. Neittaanmäki, and S. Repin. A posteriori error estimates for time-dependent reaction-diffusion problems based on the Payne– Weinberger inequality. <i>Discrete and Continuous Dynamical Systems - Series A, AIMS, 35(6): 2659–2677, 2015. </i><a href="http://arxiv.org/abs/1312.4361 " target="_blank">Please see </a> | |
| dc.relation.haspart | <b>Article IV:</b> S. Matculevich and S. Repin. Estimates of the distance to the exact solution of evolutionary reaction-diffusion problems based on local Poincaré type inequalities. <i>Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov (POMI), 425(1): 7–34, 2014. </i> <a href=" http://arxiv.org/abs/1407.6875 " target="_blank">Please see. </a> | |
| dc.relation.haspart | <b>Article V:</b> S. Matculevich and S. Repin. Sharp bounds of constants in Poincaré type inequalities for polygonal domains. <a href=" http://arxiv.org/abs/1504.03166 " target="_blank">Please see. </a> | |
| dc.relation.isversionof | Julkaistu myös painettuna. | |
| dc.rights | In Copyright | |
| dc.subject.other | Cauchy problem | |
| dc.subject.other | Picard-Lindelöf method | |
| dc.subject.other | Ostrowski estimates | |
| dc.subject.other | evolutionary problem of parabolic type | |
| dc.subject.other | reaction-diffusion equation | |
| dc.subject.other | functional type a posteriori error estimates | |
| dc.subject.other | error indicators | |
| dc.subject.other | Poincaré-type estimates | |
| dc.title | Fully reliable a posteriori error control for evolutionary problems | |
| dc.type | Diss. | |
| dc.identifier.urn | URN:ISBN:978-951-39-6291-3 | |
| dc.type.dcmitype | Text | en |
| dc.type.ontasot | Väitöskirja | fi |
| dc.type.ontasot | Doctoral dissertation | en |
| dc.contributor.tiedekunta | Faculty of Information Technology | en |
| dc.contributor.tiedekunta | Informaatioteknologian tiedekunta | fi |
| dc.contributor.yliopisto | University of Jyväskylä | en |
| dc.contributor.yliopisto | Jyväskylän yliopisto | fi |
| dc.contributor.oppiaine | Tietotekniikka | fi |
| dc.relation.issn | 1456-5390 | |
| dc.relation.numberinseries | 219 | |
| dc.rights.accesslevel | openAccess | |
| dc.subject.yso | differentiaaliyhtälöt | |
| dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
| dc.subject.yso | epäyhtälöt | |
| dc.subject.yso | numeerinen analyysi | |
| dc.subject.yso | numeeriset menetelmät | |
| dc.subject.yso | virheanalyysi | |
| dc.subject.yso | virheet | |
| dc.rights.url | https://rightsstatements.org/page/InC/1.0/ |
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