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DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 546 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 525 | - |
dc.citation.title | BIT NUMERICAL MATHEMATICS | - |
dc.citation.volume | 47 | - |
dc.contributor.author | Kim, Pilwon | - |
dc.date.accessioned | 2023-12-22T09:10:23Z | - |
dc.date.available | 2023-12-22T09:10:23Z | - |
dc.date.created | 2014-11-14 | - |
dc.date.issued | 2007-09 | - |
dc.description.abstract | This paper deals with a geometric technique to construct numerical schemes for differential equations that inherit Lie symmetries. The moving frame method enables one to adjust existing numerical schemes in a geometric manner and systematically construct proper invariant versions of them. Invariantization works as an adaptive transformation on numerical solutions, improving their accuracy greatly. Error reduction in the Runge-Kutta method by invariantization is studied through several applications including a harmonic oscillator and a Hamiltonian system. | - |
dc.identifier.bibliographicCitation | BIT NUMERICAL MATHEMATICS, v.47, no.3, pp.525 - 546 | - |
dc.identifier.doi | 10.1007/s10543-007-0138-8 | - |
dc.identifier.issn | 0006-3835 | - |
dc.identifier.scopusid | 2-s2.0-34548661755 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/8946 | - |
dc.identifier.url | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=34548661755 | - |
dc.identifier.wosid | 000249502700004 | - |
dc.language | 영어 | - |
dc.publisher | SPRINGER | - |
dc.title | Invariantization of numerical schemes using moving frames | - |
dc.type | Article | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordAuthor | invariant scheme | - |
dc.subject.keywordAuthor | Lie symmetry | - |
dc.subject.keywordAuthor | geometric integration | - |
dc.subject.keywordPlus | ORDINARY DIFFERENCE-EQUATIONS | - |
dc.subject.keywordPlus | RUNGE-KUTTA METHODS | - |
dc.subject.keywordPlus | SYMPLECTIC INTEGRATION |
- |
dc.subject.keywordPlus | CONSERVING ALGORITHMS | - |
dc.subject.keywordPlus | GEOMETRIC INTEGRATORS | - |
dc.subject.keywordPlus | HAMILTONIAN-SYSTEMS | - |
dc.subject.keywordPlus | ARBITRARY ORDER | - |
dc.subject.keywordPlus | ENERGY | - |
dc.subject.keywordPlus | SYMMETRY | - |
dc.subject.keywordPlus | FOUNDATIONS | - |
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