Approximation of linear partial differential equations on spheres

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dc.contributor.advisor Ward , Joseph D . en_US
dc.contributor.committeeMember Lazarov , Raytcho en_US
dc.creator Le Gia , Quoc Thong en_US 2004 -09 -30T01 :40 :22Z 2014 -02 -18T22 :28 :03Z 2004 -09 -30T01 :40 :22Z 2014 -02 -18T22 :28 :03Z 2003 -08 en_US 2004 -09 -30T01 :40 :22Z
dc.identifier.uri http : / /hdl .handle .net /1969 .1 /22
dc.description.abstract The theory of interpolation and approximation of solutions to differential and integral equations on spheres has attracted considerable interest in recent years ; it has also been applied fruitfully in fields such as physical geodesy , potential theory , oceanography , and meteorology . In this dissertation we study the approximation of linear partial differential equations on spheres , namely a class of elliptic partial differential equations and the heat equation on the unit sphere . The shifts of a spherical basis function are used to construct the approximate solution . In the elliptic case , both the finite element method and the collocation method are discussed . In the heat equation , only the collocation method is considered . Error estimates in the supremum norms and the Sobolev norms are obtained when certain regularity conditions are imposed on the spherical basis functions . en_US
dc.format.extent 436604 bytes
dc.format.medium electronic en_US
dc.format.mimetype application /pdf
dc.language.iso en _US en_US
dc.publisher Texas A &M University en_US
dc.subject spherical basis functions en_US
dc.title Approximation of linear partial differential equations on spheres en_US
dc.type Book en
dc.type.genre Electronic Dissertation en_US
dc.type.material text en_US
dc.format.digitalOrigin born digital en_US


Approximation of linear partial differential equations on spheres. Available electronically from http : / /hdl .handle .net /1969 .1 /22 .

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