DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Yong Jung | ko |
dc.contributor.author | Ni, Wei-Ming | ko |
dc.date.accessioned | 2013-03-11T05:39:38Z | - |
dc.date.available | 2013-03-11T05:39:38Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2009-02 | - |
dc.identifier.citation | SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v.40, no.6, pp.2241 - 2261 | - |
dc.identifier.issn | 0036-1410 | - |
dc.identifier.uri | http://hdl.handle.net/10203/98405 | - |
dc.description.abstract | In this paper, we employ linear combinations of n heat kernels to approximate solutions to the heat equation. We show that such approximations are of order O(t(1/2p - 2n+1/2)) in L(p)-norm, 1 <= p <= infinity, as t -> infinity. For positive solutions of the heat equation such approximations are achieved using the theory of truncated moment problems. For general sign-changing solutions these type of approximations are obtained by simply adding an auxiliary heat kernel. Furthermore, inspired by numerical computations, we conjecture that such approximations converge geometrically as n -> infinity for any fixed t > 0. | - |
dc.language | English | - |
dc.publisher | SIAM PUBLICATIONS | - |
dc.subject | SCALAR CONSERVATION-LAWS | - |
dc.subject | LARGE TIME BEHAVIOR | - |
dc.subject | ASYMPTOTIC-BEHAVIOR | - |
dc.subject | DIFFUSION-EQUATIONS | - |
dc.subject | N-WAVES | - |
dc.subject | BURGERS-EQUATION | - |
dc.subject | CONVERGENCE | - |
dc.title | HIGHER ORDER APPROXIMATIONS IN THE HEAT EQUATION AND THE TRUNCATED MOMENT PROBLEM | - |
dc.type | Article | - |
dc.identifier.wosid | 000265778800004 | - |
dc.type.rims | ART | - |
dc.citation.volume | 40 | - |
dc.citation.issue | 6 | - |
dc.citation.beginningpage | 2241 | - |
dc.citation.endingpage | 2261 | - |
dc.citation.publicationname | SIAM JOURNAL ON MATHEMATICAL ANALYSIS | - |
dc.identifier.doi | 10.1137/08071778X | - |
dc.contributor.localauthor | Kim, Yong Jung | - |
dc.contributor.nonIdAuthor | Ni, Wei-Ming | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | heat equation | - |
dc.subject.keywordAuthor | moments | - |
dc.subject.keywordAuthor | asymptotics convergence rates | - |
dc.subject.keywordAuthor | approximation of an integral formula | - |
dc.subject.keywordAuthor | heat kernel | - |
dc.subject.keywordPlus | SCALAR CONSERVATION-LAWS | - |
dc.subject.keywordPlus | LARGE TIME BEHAVIOR | - |
dc.subject.keywordPlus | ASYMPTOTIC-BEHAVIOR | - |
dc.subject.keywordPlus | DIFFUSION-EQUATIONS | - |
dc.subject.keywordPlus | N-WAVES | - |
dc.subject.keywordPlus | BURGERS-EQUATION | - |
dc.subject.keywordPlus | CONVERGENCE | - |
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