DC Field | Value | Language |
---|---|---|
dc.contributor.author | JUNG, JAE HUN | - |
dc.contributor.author | Nicponski, John | - |
dc.date.accessioned | 2021-06-01T05:52:53Z | - |
dc.date.available | 2021-06-01T05:52:53Z | - |
dc.date.created | 2021-03-11 | - |
dc.date.issued | 2018-07 | - |
dc.identifier.issn | 0885-7474 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/105750 | - |
dc.description.abstract | In some physical applications, the decaying rate of asymptotically decaying solution is more important than the solution magnitude itself in understanding the physical system such as the late-time behavior of decaying fields in black hole space-time. In Khanna (J Sci Comput 56(2):366-380, 2013), it was emphasized that high-precision arithmetic and high-order methods are required to capture numerically the correct decaying rate of the late-time radiative tails of black-hole system in order to prevent roundoff errors from inducing a wrong power-law decay rate in the numerical approximation. In this paper, we explain how roundoff errors induce a wrong decay mode in the numerical approximation using simple linear differential equations. Then we describe the orthogonal decomposition method as a possible technique to remove wrong decaying modes induced by roundoff errors in the numerical approximation. | - |
dc.language | English | - |
dc.publisher | Springer | - |
dc.relation.isPartOf | Journal of Scientific Computing | - |
dc.title | A note on high-precision approximation of asymptotically decaying solution and orthogonal decomposition | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s10915-017-0619-0 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of Scientific Computing, v.76, no.1, pp.189 - 215 | - |
dc.identifier.wosid | 000434711800009 | - |
dc.citation.endPage | 215 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 189 | - |
dc.citation.title | Journal of Scientific Computing | - |
dc.citation.volume | 76 | - |
dc.contributor.affiliatedAuthor | JUNG, JAE HUN | - |
dc.identifier.scopusid | 2-s2.0-85035815397 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article | - |
dc.subject.keywordPlus | SCHWARZSCHILD BLACK-HOLE | - |
dc.subject.keywordPlus | PERTURBATIONS | - |
dc.subject.keywordPlus | CONVERGENCE | - |
dc.subject.keywordPlus | ALGORITHM | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | TAILS | - |
dc.subject.keywordAuthor | High-precision arithmetic | - |
dc.subject.keywordAuthor | Lax equivalence theorem | - |
dc.subject.keywordAuthor | Roundoff errors | - |
dc.subject.keywordAuthor | Orthogonal decomposition | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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