Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Atkinson, Kendall (Autor), Han, Weimin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Lecture Notes in Mathematics, 2044
Temas:
Numerical analysis.
Special functions.
Approximation theory.
Integral equations.
Differential equations.
Physics.
Astronomy.
Numerical Analysis.
Special Functions.
Approximations and Expansions.
Integral Equations.
Differential Equations.
Physics and Astronomy.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Spherical Harmonics and Approximations on the Unit Sphere: An Introduction  |h [electronic resource] /  |c by Kendall Atkinson, Weimin Han. 
250 |a 1st ed. 2012. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2012. 
300 |a IX, 244 p. 19 illus., 11 illus. in color.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2044 
505 0 |a 1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods. 
520 |a 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. 
650 0 |a Numerical analysis. 
650 0 |a Special functions. 
650 0 |a Approximation theory. 
650 0 |a Integral equations. 
650 0 |a Differential equations. 
650 0 |a Physics. 
650 0 |a Astronomy. 
650 1 4 |a Numerical Analysis. 
650 2 4 |a Special Functions. 
650 2 4 |a Approximations and Expansions. 
650 2 4 |a Integral Equations. 
650 2 4 |a Differential Equations. 
650 2 4 |a Physics and Astronomy. 
700 1 |a Han, Weimin.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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776 0 8 |i Printed edition:  |z 9783642259821 
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830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2044 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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