E-Book, Englisch, Band 2044, 244 Seiten, eBook
Reihe: Lecture Notes in Mathematics
Atkinson / Han Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Erscheinungsjahr 2012
ISBN: 978-3-642-25983-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 2044, 244 Seiten, eBook
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-642-25983-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
1 Preliminaries.- 2 Spherical Harmonics.- 3 Differentiation and Integration over the Sphere.- 4 Approximation Theory.- 5 Numerical Quadrature.- 6 Applications: Spectral Methods.
