English

An Extended Pruess Method for Sturm-Liouville Problems

Numerical Analysis 2016-03-29 v1

Abstract

A new version of the piecewise approximation (Pruess) method is developed for calculating eigenvalues of Sturm-Liouville problems. The usual piecewise constant or piecewise linear potential approximations are replaced by translates of 2/cos2(x)2/cos^2(x), whose corresponding eigenvalue equation has elementary solutions.

Keywords

Cite

@article{arxiv.1603.08034,
  title  = {An Extended Pruess Method for Sturm-Liouville Problems},
  author = {Robert Carlson},
  journal= {arXiv preprint arXiv:1603.08034},
  year   = {2016}
}
R2 v1 2026-06-22T13:18:55.841Z