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Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/50
DC FieldValueLanguage
dc.contributor.authorPham Thanh Duongen_US
dc.contributor.authorThanh Tranen_US
dc.date.accessioned2020-03-12T16:53:53Z-
dc.date.available2020-03-12T16:53:53Z-
dc.date.issued2015-
dc.identifier.urihttp://epub.vgu.edu.vn/handle/dlibvgu/50-
dc.description.abstractNon-strongly elliptic pseudodifferential equations on the unit sphere arise from geodesy. An example of equations of this type is the boundary integral reformulation of a boundary value problem with the Laplace equation in the interior domain of the unit sphere, and a Robin boundary condition. Approximate solutions with spherical radial basis functions are found by the Galerkin and collocation methods. The paper presents a unified theory for error analysis of both approximation methods. The theoretical results are corroborated by numerical experiments. It is noted that the stiffness matrix arising from the Galerkin method for this problem resembles that arising from a least squares method .1970–1983en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofComputers & Mathematics with Applicationsen_US
dc.relation.ispartofseriesComputers & Mathematics with Applications;Vol.70 (8) issue 8-
dc.subjectElliptic pseudodifferential equationen_US
dc.subjectSphereen_US
dc.subjectRadial basis functionen_US
dc.subjectGalerkin methoden_US
dc.subjectCollocation methoden_US
dc.titleSolving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functionsen_US
item.grantfulltextopen-
item.languageiso639-1other-
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