Correction of finite difference eigenvalues of periodic Sturm-Liouville problems
Correction of finite difference eigenvalues of periodic Sturm-Liouville problems
Abstract Computation of eigenvalues of regular Sturm-Liouville problems with periodic or semiperiodic boundary conditions is considered. A simple asymptotic correction technique of Paine, de Hoog and Anderssen is shown to reduce the error in the centred finite difference estimate of the k th eigenvalue obtained with uniform step length h …