Numerical methods for higher order Sturm-Liouville problems
The authors review some efficient numerical methods for certain classes of linear selfadjoint and non-selfadjoint eigenvalue problems, respectively, where they concentrate on methods treated in their own work. For a class of \(2m\)th-order selfadjoint problems, the numerical schemes yield approximations to eigensolutions and to the counting function \(N(\lambda)\) as well. For a class of non-selfadjoint problems exhibiting the so-called Birkhoff regularity, the numerical code can find eigenvalues \(\lambda\) in a rectangular, left half plane, or vertical strip. Numerical results are presented.
higher-order Sturm-Liouville eigenvalue problems
scientific article; zbMATH DE number 1566024
scientific article