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Spherical Harmonics and Approximations on the Unit Sphere: An Introduction / by Kendall Atkinson, Weimin Han.
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View onlineMath/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2379,2380-2384 2385-2389,2392
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LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Atkinson, Kendall E., author.
- Han, Weimin, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 2044.
- Lecture Notes in Mathematics, 0075-8434 ; 2044
- Language:
- English
- Subjects (All):
- Numerical analysis.
- Functions, Special.
- Mathematics.
- Integral equations.
- Differential equations, Partial.
- Physics.
- Numerical Analysis.
- Special Functions.
- Approximations and Expansions.
- Integral Equations.
- Partial Differential Equations.
- Physics, general.
- Local Subjects:
- Numerical Analysis.
- Special Functions.
- Approximations and Expansions.
- Integral Equations.
- Partial Differential Equations.
- Physics, general.
- Physical Description:
- 1 online resource (IX, 244 pages 19 illustrations, 11 illustrations in color).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- 1 Preliminaries
- 2 Spherical Harmonics
- 3 Differentiation and Integration over the Sphere
- 4 Approximation Theory
- 5 Numerical Quadrature
- 6 Applications: Spectral Methods.
- Other Format:
- Printed edition:
- ISBN:
- 9783642259838
- Access Restriction:
- Restricted for use by site license.
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