Eigenvalue finite difference approximations for regular and singular Sturm-Liouville problems
Eigenvalue finite difference approximations for regular and singular Sturm-Liouville problems
This paper includes two parts. In the first part, general error estimates for "stable" eigenvalue approximations are obtained. These are practical in the sense that they are based on the discretization error of the difference formula over the eigenspace associated with the isolated eigenvalue under consideration. Verification of these general …