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000727135 020__ $$a9783319179391$$qelectronic book
000727135 020__ $$a331917939X$$qelectronic book
000727135 020__ $$z9783319179384
000727135 0247_ $$a10.1007/978-3-319-17939-1$$2doi
000727135 035__ $$aSP(OCoLC)ocn909027940
000727135 035__ $$aSP(OCoLC)909027940
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000727135 049__ $$aISEA
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000727135 08204 $$a515/.53$$223
000727135 1001_ $$aHubbert, Simon,$$eauthor.
000727135 24510 $$aSpherical radial basis functions, theory and applications$$h[electronic resource] /$$cSimon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton.
000727135 264_1 $$aCham :$$bSpringer,$$c[2015]
000727135 300__ $$a1 online resource :$$bcolor illustrations.
000727135 336__ $$atext$$btxt$$2rdacontent
000727135 337__ $$acomputer$$bc$$2rdamedia
000727135 338__ $$aonline resource$$bcr$$2rdacarrier
000727135 4901_ $$aSpringer briefs in mathematics,$$x2191-8201
000727135 504__ $$aIncludes bibliographical references.
000727135 5050_ $$aMotivation and Background Functional Analysis -- The Spherical Basis Function Method -- Error Bounds via Duchon's Technique -- Radial Basis Functions for the Sphere -- Fast Iterative Solvers for PDEs on Spheres -- Parabolic PDEs on Spheres.
000727135 506__ $$aAccess limited to authorized users.
000727135 520__ $$aThis book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere. The aim of the book is to provide enough theoretical and practical details for the reader to be able to implement the SBF methods to solve real world problems. The authors stress the close connection between the theory of SBFs and that of the more well-known family of radial basis functions (RBFs), which are well-established tools for solving approximation theory problems on more general domains. The unique solvability of the SBF interpolation method for data fitting problems is established and an in-depth investigation of its accuracy is provided. Two chapters are devoted to partial differential equations (PDEs). One deals with the practical implementation of an SBF-based solution to an elliptic PDE and another which describes an SBF approach for solving a parabolic time-dependent PDE, complete with error analysis. The theory developed is illuminated with numerical experiments throughout. Spherical Radial Basis Functions, Theory and Applications will be of interest to graduate students and researchers in mathematics and related fields such as the geophysical sciences and statistics.
000727135 588__ $$aOnline resource; title from PDF title page (viewed May 18, 2015).
000727135 650_0 $$aSpherical functions.
000727135 650_0 $$aRadial basis functions.
000727135 7001_ $$aGia, Quôc Thông Lê,$$eauthor.
000727135 7001_ $$aMorton, Tanya M.,$$eauthor.
000727135 77608 $$iPrint version:$$z9783319179384
000727135 830_0 $$aSpringerBriefs in mathematics.
000727135 852__ $$bebk
000727135 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-17939-1$$zOnline Access$$91397441.1
000727135 909CO $$ooai:library.usi.edu:727135$$pGLOBAL_SET
000727135 980__ $$aEBOOK
000727135 980__ $$aBIB
000727135 982__ $$aEbook
000727135 983__ $$aOnline
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