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Spherical harmonics and approximations on the unit sphere : an introduction / / Kendall Atkinson, Weimin Han



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Autore: Atkinson Kendall E Visualizza persona
Titolo: Spherical harmonics and approximations on the unit sphere : an introduction / / Kendall Atkinson, Weimin Han Visualizza cluster
Pubblicazione: Berlin ; ; New York, : Springer, c2012
Edizione: 1st ed. 2012.
Descrizione fisica: 1 online resource (IX, 244 p. 19 illus., 11 illus. in color.)
Disciplina: 515/.53
Soggetto topico: Spherical harmonics
Spherical functions
Altri autori: HanWeimin  
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: 1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods.
Sommario/riassunto: These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
Titolo autorizzato: Spherical harmonics and approximations on the unit sphere  Visualizza cluster
ISBN: 3-642-25983-9
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910483618103321
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Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 2044.