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DC Field | Value | Language |
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dc.citation.endPage | 254 | - |
dc.citation.number | 2 | - |
dc.citation.startPage | 243 | - |
dc.citation.title | PHYSICA D-NONLINEAR PHENOMENA | - |
dc.citation.volume | 237 | - |
dc.contributor.author | Kim, Pilwon | - |
dc.date.accessioned | 2023-12-22T08:45:04Z | - |
dc.date.available | 2023-12-22T08:45:04Z | - |
dc.date.created | 2014-11-14 | - |
dc.date.issued | 2008-02 | - |
dc.description.abstract | In this article, a geometric technique to construct numerical schemes for partial differential equations (PDEs) that inherit Lie symmetries is proposed. The moving frame method enables one to adjust the numerical schemes in a geometric manner and systematically construct proper invariant versions of them. To illustrate the method, we study invariantization of the Crank-Nicolson scheme for Burgers' equation. With careful choice of normalization equations, the invariantized schemes are shown to surpass the standard scheme, successfully removing numerical oscillation around sharp transition layers. | - |
dc.identifier.bibliographicCitation | PHYSICA D-NONLINEAR PHENOMENA, v.237, no.2, pp.243 - 254 | - |
dc.identifier.doi | 10.1016/j.physd.2007.09.001 | - |
dc.identifier.issn | 0167-2789 | - |
dc.identifier.scopusid | 2-s2.0-38549128359 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/8942 | - |
dc.identifier.url | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=38549128359 | - |
dc.identifier.wosid | 000254149400009 | - |
dc.language | 영어 | - |
dc.publisher | ELSEVIER SCIENCE BV | - |
dc.title | Invariantization of the Crank-Nicolson method for Burgers' equation | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | lie symmetry | - |
dc.subject.keywordAuthor | Burgers&apos | - |
dc.subject.keywordAuthor | equation | - |
dc.subject.keywordAuthor | invariant schemes | - |
dc.subject.keywordAuthor | moving frames | - |
dc.subject.keywordPlus | CONSERVING ALGORITHMS | - |
dc.subject.keywordPlus | GEOMETRIC INTEGRATORS | - |
dc.subject.keywordPlus | DIFFERENCE-EQUATIONS | - |
dc.subject.keywordPlus | HAMILTONIAN-SYSTEMS | - |
dc.subject.keywordPlus | ARBITRARY ORDER | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | SCHEMES | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | FOUNDATIONS | - |
dc.subject.keywordPlus | FORMALISM | - |
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