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MATSLISE is a graphical Matlab software package for the interactive numerical study of Sturm-Liouville problems. It allows the fast and accurate computation of the eigenvalues and the visualization of the corresponding eigenfunctions by making use of the power of high-order piecewise constant perturbation methods, also called the CP methods. For more information on the CP-methods we refer to the references mentioned below.

References

[1] L. Gr. Ixaru, Numerical Methods for Differential Equations and Applications (Reidel,Dordrecht-Boston-Lancaster, 1984).

[2] L. Gr. Ixaru, H. De Meyer and G. Vanden Berghe, CP methods for the Schrodinger equation revisited, J. Comput. Appl. Math. 88 (1997) 289-314.

[3] L. Gr. Ixaru, CP methods for the Schrodinger equation, J. Comput. Appl. Math. 125 (2000) 347-357.

[4] L. Gr. Ixaru, H. De Meyer and G. Vanden Berghe, SLCPM12 - A program for solving regular Sturm-Liouville problems, Comp. Phys. Commun. 118 (1999) 259-277.

[5] L. Gr. Ixaru, H. De Meyer and G. Vanden Berghe, Highly accurate eigenvalues for the distorted Coulomb potential, Phys. Rev. E 61 (2000) 3151-3159.

[6] V. Ledoux, M. Van Daele and G. Vanden Berghe, CP methods of higher order for Sturm-Liouville and Schrodinger equations, Comp. Phys. Commun. 162 (2004) 151-165.

[7] V. Ledoux, M. Van Daele and G. Vanden Berghe, MATSLISE, A Matlab package for the numerical solution of Sturm-Liouville and Schrodinger equatons, ACM Trans. Math. Software. 31 (2005).

[8] V. Ledoux, M. Rizea, L. Gr. Ixaru, G. Vanden Berghe and M. Van Daele, Solution of the Schrodinger equation by a high order perturbation method based on a linear reference potential. Comp. Phys. Commun. 175 (2006) 424-439.

[9] V. Ledoux, L. Gr. Ixaru, M. Rizea, M. Van Daele and G. Vanden Berghe, Solution of the Schrodinger equation over an infinite integration interval by perturbation methods, revisited, Comp. Phys. Comm. 175 (2006) 612-619.

[10] V. Ledoux, M. Van Daele, Solving Sturm-Liouville problems by piecewise perturbation methods, revisited, Comp. Phys. Commun. 181 (2010) 1335-1345.

[11] J. D. Pryce, Numerical Solution of Sturm-Liouville Problems (Oxford Univ. Press, Oxford, 1993).

Requirements

This version of MATSLISE was developed on Matlab version R2013b. MATSLISE uses the new Class-Degnition Syntax introduced with Matlab software version 7.6, therefore the MATSLISE package does not work in earlier versions of Matlab.

Disclaimer

MATSLISE is freely available for non-commercial use. In no circumstances can the authors be held responsible for any deficiency, fault or other mishappening with regard to the use or performance of MATSLISE.

Project Members:

• Veerle Ledoux (admin)