@Article{Ledoux:2006:MMP, author = "V. Ledoux and Van Daele, M. and Vanden Berghe, G.", title = "MATSLISE: A {MATLAB} Package for the Numerical Solution of {Sturm-Liouville} and {Schr\"{o}dinger Equations", journal = "{ACM} Transactions on Mathematical Software", volume = "31", number = "4", month = dec, year = "2005", pages = "532--554", URL = "http://doi.acm.org/10.1145/1114268.1114273", abstract = "MATSLISE is a graphical MATLAB software package for the interactive numerical study of regular Sturm-Liouville problems, one-dimensional Schr\"{o}odinger equations and radial Schr\"{o}odinger 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.", }