The Resource Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource)

Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource)

Label
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Title
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
Statement of responsibility
by Kendall Atkinson, Weimin Han
Creator
Contributor
Author
Provider
Subject
Language
eng
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
Member of
http://library.link/vocab/creatorName
Atkinson, Kendall
Image bit depth
0
LC call number
QA297-299.4
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Han, Weimin.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2044
http://library.link/vocab/subjectName
  • Mathematics
  • Integral equations
  • Differential equations, partial
  • Functions, special
  • Numerical analysis
  • Physics
  • Mathematics
  • Numerical Analysis
  • Special Functions
  • Approximations and Expansions
  • Integral Equations
  • Partial Differential Equations
  • Physics, general
Label
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods
Dimensions
unknown
Extent
IX, 244p. 19 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783642259838
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-25983-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-25983-8
Label
Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
1 Preliminaries -- 2 Spherical Harmonics -- 3 Differentiation and Integration over the Sphere -- 4 Approximation Theory -- 5 Numerical Quadrature -- 6 Applications: Spectral Methods
Dimensions
unknown
Extent
IX, 244p. 19 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783642259838
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-25983-8
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-25983-8

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