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Please use this identifier to cite or link to this item: https://epub.vgu.edu.vn/handle/dlibvgu/74
DC FieldValueLanguage
dc.contributor.authorPham Thanh Duongen_US
dc.contributor.authorDinh Dungen_US
dc.date.accessioned2020-03-12T16:54:29Z-
dc.date.available2020-03-12T16:54:29Z-
dc.date.issued2019-
dc.identifier.citationhttps://link.springer.com/article/10.1007%2Fs10440-019-00262-4en_US
dc.identifier.urihttp://epub.vgu.edu.vn/handle/dlibvgu/74-
dc.description.abstractAn adjusted sparse tensor product spectral Galerkin approximation method based on spherical harmonics is introduced and analyzed for solving pseudodifferential equations on the sphere with random input data. These equations arise from geodesy where the sphere is taken as a model of the earth. Numerical solutions to the corresponding k-th order statistical moment equations are found in adjusted sparse tensor approximation spaces which are accordingly designed to the regularity of the data and the equation. Established convergence theorem shows that the adjusted sparse tensor Galerkin discretization is superior not only to the full tensor product but also to the standard sparse tensor counterpart when the statistical moments of the data are of mixed unequal regularity. Numerical experiments illustrate our theoretical results.en_US
dc.language.isoenen_US
dc.publisherSpringer Linken_US
dc.relation.ispartofActa Applicandae Mathematicaeen_US
dc.relation.ispartofseries166;187–214-
dc.subjectStochastic pseudodifferential equationsen_US
dc.subjectStatistical momentsen_US
dc.subjectHyperbolic cross spectral methodsen_US
dc.subjectSpheresen_US
dc.titleAdjusted sparse tensor product spectral galerkin method for solving pseudodifferential equations on the sphere with random input dataen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s10440-019-00262-4-
dc.relation.journaltypeISI (SCI) Q2en_US
item.grantfulltextnone-
item.languageiso639-1other-
item.fulltextNo Fulltext-
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