Spherical Harmonics and Approximations on the Unit Sphere: An Introduction

• Κύριοι συγγραφείς: Atkinson, Kendall (Συγγραφέας), Han, Weimin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
• Σειρά: Lecture Notes in Mathematics, 2044
• Θέματα: Mathematics.; Approximation theory.; Integral equations.; Partial differential equations.; Special functions.; Numerical analysis.; Physics.; Numerical Analysis.; Special Functions.; Approximations and Expansions.; Integral Equations.; Partial Differential Equations.; Physics, general.

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...

Πίνακας περιεχομένων:

• 1 Preliminaries
• 2 Spherical Harmonics
• 3 Differentiation and Integration over the Sphere
• 4 Approximation Theory
• 5 Numerical Quadrature
• 6 Applications: Spectral Methods.