| 书目名称 | Spherical Harmonics and Approximations on the Unit Sphere: An Introduction |
| 编辑 | Kendall Atkinson,Weimin Han |
| 视频video | |
| 概述 | An easily accessible introduction to the theory of spherical harmonics in an arbitrary dimension.A summarizing account of classical and recent results on some aspects of function approximations by sph |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well asan 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. |
| 出版日期 | Book 2012 |
| 关键词 | 41A30, 65N30, 65R20; approximation theory; quadrature; spherical harmonic; partial differential equation |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-642-25983-8 |
| isbn_softcover | 978-3-642-25982-1 |
| isbn_ebook | 978-3-642-25983-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2012 |
发表于 2025-3-21 18:42:20
