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The calculation of the eigenvalues and eigenfunctions of Mathieu's equationThe eigenfunctions of Mathieu's equation are expanded in trigonometric series, and the resulting eigenvalue problem is cast in matrix form. This matrix is found to be a symmetric, triagonal matrix, and the eigenvalues are computed using the bisection method. The eigenfunction expansion coefficients are obtained by the standard recursion method. This computational technique for the eigenvalues and eigenfunctions of Mathieu's equation is both rapid and accurate.
Document ID
19720007908
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Hodge, D. B.
(Ohio State Univ. Columbus, OH, United States)
Date Acquired
September 2, 2013
Publication Date
January 1, 1972
Publication Information
Publisher: NASA
Subject Category
Mathematics
Report/Patent Number
NASA-CR-1937
REPT-2902-4
Accession Number
72N15558
Funding Number(s)
CONTRACT_GRANT: NGL-36-008-138
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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