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dc.contributor.author윤정호*
dc.date.accessioned2018-11-21T16:30:58Z-
dc.date.available2018-11-21T16:30:58Z-
dc.date.issued2018*
dc.identifier.issn0885-7474*
dc.identifier.otherOAK-21749*
dc.identifier.urihttps://dspace.ewha.ac.kr/handle/2015.oak/246921-
dc.description.abstractIn this study, we present a new sixth-order finite difference weighted essentially non-oscillatory (WENO) scheme for solving Hamilton–Jacobi equations. The proposed scheme recovers the maximal approximation order in smooth regions without loss of accuracy at critical points. We incorporate exponential polynomials into the scheme to obtain better approximation near steep gradients without spurious oscillations. In order to design nonlinear weights based on exponential polynomials, we suggest an alternative approach to construct Lagrange-type exponential functions reproducing the cell-average values of exponential basis functions. Using the Lagrange-type exponential functions, we provide a detailed analysis of the approximation order of the proposed WENO scheme. Compared to other WENO schemes, the proposed scheme is simpler to implement, yielding better approximations with lower computational costs. A number of numerical experiments are presented to demonstrate the performance of the proposed scheme. © 2017, Springer Science+Business Media, LLC, part of Springer Nature.*
dc.languageEnglish*
dc.publisherSpringer New York LLC*
dc.subjectApproximation order*
dc.subjectExponential polynomials*
dc.subjectHamilton–Jacobi equation*
dc.subjectSmoothness indicators*
dc.subjectWENO scheme*
dc.titleA Sixth-Order Weighted Essentially Non-oscillatory Schemes Based on Exponential Polynomials for Hamilton–Jacobi Equations*
dc.typeArticle*
dc.relation.issue3*
dc.relation.volume75*
dc.relation.indexSCIE*
dc.relation.indexSCOPUS*
dc.relation.startpage1675*
dc.relation.lastpage1700*
dc.relation.journaltitleJournal of Scientific Computing*
dc.identifier.doi10.1007/s10915-017-0603-8*
dc.identifier.wosidWOS:000431399600020*
dc.identifier.scopusid2-s2.0-85034225724*
dc.author.googleHa Y.*
dc.author.googleKim C.H.*
dc.author.googleYang H.*
dc.author.googleYoon J.*
dc.contributor.scopusid윤정호(57221276460)*
dc.date.modifydate20240118161402*
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자연과학대학 > 수학전공 > Journal papers
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