AN ADAPTIVE VERSION OF GLIMM'S SCHEME Dedicated to Professor James Glimm on the occasion of his 75th birthday
DC Field | Value | Language |
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dc.contributor.author | Kim, H. | - |
dc.contributor.author | Laforest, M. | - |
dc.contributor.author | Yoon, D. | - |
dc.date.accessioned | 2021-09-08T04:57:45Z | - |
dc.date.available | 2021-09-08T04:57:45Z | - |
dc.date.created | 2021-06-11 | - |
dc.date.issued | 2010-03 | - |
dc.identifier.issn | 0252-9602 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/116939 | - |
dc.description.abstract | This article describes a local error estimator for Glimm's scheme for hyperbolic systems of conservation laws and uses it to replace the usual random choice in Glimm's scheme by an optimal choice. As a by-product of the local error estimator, the procedure provides a global error estimator that is shown numerically to be a very accurate estimate of the error in L-1(R) for all times. Although there is partial mathematical evidence for the error estimator proposed, at this stage the error estimator must be considered ad-hoc. Nonetheless, the error estimator is simple to compute, relatively inexpensive, without adjustable parameters and at least as accurate as other existing error estimators. Numerical experiments in 1-D for Burgers' equation and for Euler's system are performed to measure the asymptotic accuracy of the resulting scheme and of the error estimator. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.subject | NONLINEAR HYPERBOLIC SYSTEMS | - |
dc.subject | ERROR-BOUNDS | - |
dc.subject | DETERMINISTIC VERSION | - |
dc.subject | CONSERVATION-LAWS | - |
dc.subject | FRONT-TRACKING | - |
dc.subject | APPROXIMATIONS | - |
dc.subject | EXISTENCE | - |
dc.subject | GODUNOV | - |
dc.title | AN ADAPTIVE VERSION OF GLIMM'S SCHEME Dedicated to Professor James Glimm on the occasion of his 75th birthday | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, H. | - |
dc.contributor.affiliatedAuthor | Yoon, D. | - |
dc.identifier.doi | 10.1016/S0252-9602(10)60057-4 | - |
dc.identifier.scopusid | 2-s2.0-77950240178 | - |
dc.identifier.wosid | 000276112800005 | - |
dc.identifier.bibliographicCitation | ACTA MATHEMATICA SCIENTIA, v.30, no.2, pp.428 - 446 | - |
dc.relation.isPartOf | ACTA MATHEMATICA SCIENTIA | - |
dc.citation.title | ACTA MATHEMATICA SCIENTIA | - |
dc.citation.volume | 30 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 428 | - |
dc.citation.endPage | 446 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | NONLINEAR HYPERBOLIC SYSTEMS | - |
dc.subject.keywordPlus | ERROR-BOUNDS | - |
dc.subject.keywordPlus | DETERMINISTIC VERSION | - |
dc.subject.keywordPlus | CONSERVATION-LAWS | - |
dc.subject.keywordPlus | FRONT-TRACKING | - |
dc.subject.keywordPlus | APPROXIMATIONS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | GODUNOV | - |
dc.subject.keywordAuthor | conservation laws | - |
dc.subject.keywordAuthor | finite difference methods | - |
dc.subject.keywordAuthor | adaptive | - |
dc.subject.keywordAuthor | error estimation | - |
dc.subject.keywordAuthor | a- posteriori | - |
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