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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)
Resource Information
The item Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 threedimensional 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
 Language
 eng
 Extent
 IX, 244p. 19 illus., 11 illus. in color.
 Contents

 1 Preliminaries
 2 Spherical Harmonics
 3 Differentiation and Integration over the Sphere
 4 Approximation Theory
 5 Numerical Quadrature
 6 Applications: Spectral Methods
 Isbn
 9783642259838
 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
 Subject

 Integral Equations
 Integral Equations
 Numerical Analysis
 Integral equations
 Physics
 Differential equations, partial
 Approximations and Expansions
 Functions, special
 Numerical analysis
 Integral equations
 Electronic resources
 Physics
 Numerical analysis
 Functions, special
 Mathematics
 Special Functions
 Partial Differential Equations
 Physics
 Mathematics
 Physics, general
 Numerical Analysis
 Differential equations, partial
 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 threedimensional 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
 http://library.link/vocab/creatorName
 Atkinson, Kendall
 Image bit depth
 0
 LC call number
 QA297299.4
 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)
 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
 10.1007/9783642259838
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642259838
 Label
 Spherical Harmonics and Approximations on the Unit Sphere: An Introduction, by Kendall Atkinson, Weimin Han, (electronic resource)
 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
 10.1007/9783642259838
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642259838
Subject
 Approximations and Expansions
 Differential equations, partial
 Differential equations, partial
 Electronic resources
 Functions, special
 Functions, special
 Integral Equations
 Integral Equations
 Integral equations
 Integral equations
 Mathematics
 Mathematics
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Partial Differential Equations
 Physics
 Physics
 Physics
 Physics, general
 Special Functions
Member of
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