Current Search: Inverse problems Differential equations (x)
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Title
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Spectral decomposition of grid data.
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Creator
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Donovan, Andrew., Harriet L. Wilkes Honors College
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Abstract/Description
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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...
Show moreSpectral 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.
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Date Issued
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2005
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PURL
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http://purl.flvc.org/FAU/11572
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Subject Headings
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Inverse problems (Differential equations), Boundary value problems, Differential equations, Partial, Mathematical physics, Harmonic analysis
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Format
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Document (PDF)
