Spherical harmonics and approximations on the unit sphere : an introduction

書誌事項

Spherical harmonics and approximations on the unit sphere : an introduction

Kendall Atkinson, Weimin Han

(Lecture notes in mathematics, 2044)

Springer, c2012

  • : [pbk.]

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注記

Includes bibliographical references (p. 237-241) and index

内容説明・目次

内容説明

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.

目次

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

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詳細情報

  • NII書誌ID(NCID)
    BB08855546
  • ISBN
    • 9783642259821
  • LCCN
    2012931330
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin
  • ページ数/冊数
    ix, 244 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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