MATSLISE

Author:

Ledoux V.1,Daele M. Van1,Berghe G. Vanden1

Affiliation:

1. Ghent University, Gent, Belgium

Abstract

MATSLISE is a graphical MATLAB software package for the interactive numerical study of regular Sturm-Liouville problems, one-dimensional Schrödinger equations, and radial Schrödinger equations with a distorted Coulomb potential. It allows the fast and accurate computation of the eigenvalues and the visualization of the corresponding eigenfunctions. This is realized by making use of the power of high-order piecewise constant perturbation methods, a technique described by Ixaru. For a well-outlined class of problems, the implemented algorithms are more efficient than the well-established SL-solvers SL02f, SLEDGE, SLEIGN, and SLEIGN2, which are included by Pryce in the SLDRIVER code that has been built on top of SLTSTPAK.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Reference16 articles.

1. Abramowitz M. and Stegun I. A. 1965. Handbook of Mathematical Functions. Dover New York NY. Abramowitz M. and Stegun I. A. 1965. Handbook of Mathematical Functions. Dover New York NY.

2. Correction of Numerov's eigenvalue estimates;Andrew A. L.;Numer. Math.,1985

3. Eigenvalue and eigenfunction computations for Sturm-Liouville problems

4. Automatic Solution of the Sturm-Liouville Problem

5. Ixaru L. Gr. 1984. Numerical Methods for Differential Equations and Applications. Reidel Dordrecht The Netherlands/Boston Massachusetts/Laucaster U.K. Ixaru L. Gr. 1984. Numerical Methods for Differential Equations and Applications. Reidel Dordrecht The Netherlands/Boston Massachusetts/Laucaster U.K.

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