by B. I. Bandyrskii
Preprint series: 05-03, Reports on Numerical Mathematics
B. I. Bandyrskii
Abstract: A new algorithm for Sturm-Liouville problems with matrix coefficients is proposed which possesses the convergence rate of a geometric progression with a denominator depending inversely proportional from the order numbe of an eigenvalue. The asymptotical behavior of the distance between neighboring eigenvalues is investigated in the case when the order number tends to infinity. Numerical examples are given.
Keywords: Sturm-Liouville problem with matrix coefficients, asymptotic expansions, apriori estimates