Electron. J. Diff. Eqns. Vol. 1994(1994), No. 06, pp. 1-10.

Computing Eigenvalues of Regular Sturm-Liouville Problems

H. I. Dwyer & A. Zettl

Abstract:
An algorithm is presented for computing eigenvalues of regular self-adjoint Sturm-Liouville problems with matrix coefficients and arbitrary coupled boundary conditions.

Submitted April 15, 1994. Published August 23, 1994.
Math Subject Classification: 34B24, 34L15, 34L05.
Key Words: Sturm-Liouville problem, numerical computation of eigenvalues.

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An addendum was attached on  January 10, 1996. It consists of a remark and a FORTRAN code for the main algorithm of this article. See files appendix-tex, appendix.pdf,  and Dwyer.fort.

An article related to this one has been published by the EJDE. H.I. Dwyer, A. Zettl, Eigenvalue Computations for Regular Matrix Sturm--Liouville Problems , Eletron. J. Diff. Eqns. Vol. 1995(1995), No. 5, pp. 1-13.

H.I. Dwyer
Mathematics Dept., University of Wisconsin, Platteville, WI 53818, USA
e-mail: dwyer@uwplatt.edu

A. Zettl
Mathematical Sciences Dept., Northern Illinois University, DeKalb, IL 60115, USA
e-mail: zettl@math.niu.edu

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