Spherical harmonics and approximations on the unit sphere : an introduction / Kendall Atkinson, Weimin Han
Type de document : MonographieCollection : Lecture notes in mathematics, 2044Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2012Description : 1 vol. (IX-244 p.) : fig. ; 24 cmISBN: 9783642259821.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 237-241. Index.Sujet MSC : 41A30, Approximations and expansions, Approximation by other special function classes33C55, Special functions - Hypergeometric functions, Spherical harmonics
65D30, Numerical analysis - Numerical approximation and computational geometry, Numerical integration
65R20, Numerical analysis, Numerical methods for integral equationsEn-ligne : Springerlink | Zentralblatt | MathSciNet
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Bibliogr. p. 237-241. Index
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. (Source : Springer)
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