SLEIGN: an eigenvalue--eigenfunction code for Sturm--Liouville problems
Technical Report
·
OSTI ID:5197405
A code, SLEIGN, is presented for the computation of eigenvalues and eigenfunctions of Sturm--Liouville problems of the form (pPSI')' + (q + lambda r)PSI = 0 on (a,b), with A/sub 1/PSI(a) + A/sub 2/p(a)PSI'(a) = 0 and B/sub 1/PSI(b) + B/sub 2/p(b)PSI'(b) = 0. Infinite intervals and other kinds of singularities are handled completely automatically. The accuracy of the computed eigenvalue is realistically estimated. An initial guess for the eigenvalue is not necessary but is used effectively if available, and there is no possibility of accidentally computing the wrong eigenvalue. In addition to describing the basic algorithms employed in the code this report also explains, with examples, how the code is used. A short summary of its performance on a representative set of problems is also included. This code is a new version of an earlier one with the same name.
- Research Organization:
- Sandia Labs., Albuquerque, N.Mex. (USA)
- DOE Contract Number:
- EY-76-C-04-0789
- OSTI ID:
- 5197405
- Report Number(s):
- SAND-77-2044
- Country of Publication:
- United States
- Language:
- English
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