Eigenvalue problem for Lame's equation and related topics
Thesis/Dissertation
·
OSTI ID:5403459
Algorithms for computing eigenvalues and eigenfunctions of the Jacobian form of Lame's equation are developed. Three methods are examined in detail. The first method includes an investigation of the periodic Lame functions and obtains the eigenvalues by a continuous fraction method. The second method obtains the eigenvalues of the period Lame functions from an equivalent tridiagonal matrix problem. The third method transforms the eigenvalue problem of Lame's equation into an eigenvalue problem of a Hill equation and subsequently to a set of infinite order matrices. For the numerical algorithms convergence to the correct solution is proven as the order of the approximation increases. Numerical results are presented in tabular form and FORTRAN codes are listed.
- Research Organization:
- Northwestern Univ., Evanston, IL (USA)
- OSTI ID:
- 5403459
- Country of Publication:
- United States
- Language:
- English
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