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Spectral decomposition of grid data

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Date Issued:
2005
Summary:
Spectral decomposition is a method of expressing functions as a harmonic series, and can be used for the simplification of complicated physical problems. This type of analysis requires knowledge of the function at all points on a circle or sphere. In problems where the function is known only at discreet points, regular intervals in a rectangular grid, for example, numerical methods must be employed to compute approximate coefficients for the harmonic expansion. In this paper, we investigate numerical methods for computing Fourier coefficients of a two dimensional function at a fixed radius, and spherical harmonic coefficients in three dimensions on a sphere of fixed radius.
Title: Spectral decomposition of grid data.
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Name(s): Donovan, Andrew.
Harriet L. Wilkes Honors College
Type of Resource: text
Genre: Thesis
Issuance: multipart monograph
Date Issued: 2005
Publisher: Florida Atlantic University
Physical Form: electronic
electronic resource
Extent: vi, 58 leaves : ill. (some col.).
Language(s): English
Summary: Spectral decomposition is a method of expressing functions as a harmonic series, and can be used for the simplification of complicated physical problems. This type of analysis requires knowledge of the function at all points on a circle or sphere. In problems where the function is known only at discreet points, regular intervals in a rectangular grid, for example, numerical methods must be employed to compute approximate coefficients for the harmonic expansion. In this paper, we investigate numerical methods for computing Fourier coefficients of a two dimensional function at a fixed radius, and spherical harmonic coefficients in three dimensions on a sphere of fixed radius.
Identifier: 314785209 (oclc), 11572 (digitool), FADT11572 (IID), fau:1306 (fedora)
Note(s): by Andrew Donovan.
Typescript (Photocopy).
Thesis (B.A.)--Florida Atlantic University, Honors College, 2005.
Bibliography: leaf 58.
Electronic reproduction. Boca Raton, Fla., 2005. Mode of access: World Wide Web.
Subject(s): Inverse problems (Differential equations)
Boundary value problems
Differential equations, Partial
Mathematical physics
Harmonic analysis
Held by: FBoU FAUER
Persistent Link to This Record: http://purl.flvc.org/FAU/11572
Use and Reproduction: Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Host Institution: FAU

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