Abstract

Computing Singular Sturm-Liouville Eigenvalues with Verifiable Accuracy P.B. Bailey The availability of computer programs which can obtain validated solutions of Initial Value Problems makes it feasible to solve Sturm-Liouville eigenvalue problems, also with verifiable accuracy. For Regular problems there already exists the program SLEWA, by P.Renniger and R. Lohner of the University of Karlsruhe. On the other hand, the program SLEIGN2 is able to compute eigenvalues of many Singular problems, including both Limit-Circle and Limit-Point types -- but not with verifiable accuracy. We will discuss a method for treating problems with Limit-Point singularities, with verifiable accuracy.

General Enquiries Dr. Malcolm Brown. Computer Science Cardiff University PO Box 916 Cardiff CF24 3XF, U.K. Malcom@cs.cf.ac.uk

N.B. All Mathematics appears in TeX/LaTeX source.

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