Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operators
Numerical Analysis
2013-09-24 v1
Abstract
The article develops and proves an exponentially convergent numerical-analytical method (the FD-method) for solving Sturm-Liouville problems with a singular Legendre operator and a singular potential. Obtained within are sufficient conditions for convergence of the method and a priori estimates of its accuracy. A detailed algorithm for programmatic implementation of the FD-method is presented and compared with known algorithms (SLEIGN2).
Cite
@article{arxiv.1309.5795,
title = {Exponentially convergent numerical-analytical method for solving eigenvalue problems for singular differential operators},
author = {Volodymyr Makarov and Denys Dragunov and Danyil Bohdan},
journal= {arXiv preprint arXiv:1309.5795},
year = {2013}
}
Comments
17 pages, 2 figures, 5 tables