Automatic solution of Sturm-Liouville problems using the Pruess method
Journal of Computational and Applied Mathematics
Mathematical software for Sturm-Liouville problems
ACM Transactions on Mathematical Software (TOMS)
Eigenvalue and eigenfunction computations for Sturm-Liouville problems
ACM Transactions on Mathematical Software (TOMS)
CP methods for the Schro¨dinger equation revisited
Journal of Computational and Applied Mathematics
A test package for Sturm-Liouville solvers
ACM Transactions on Mathematical Software (TOMS)
Automatic Solution of the Sturm-Liouville Problem
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CP methods for the Schrödinger equation
Journal of Computational and Applied Mathematics - Special issue on numerical anaylsis 2000 Vol. VI: Ordinary differential equations and integral equations
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
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Exponentially-fitted Numerov methods
Journal of Computational and Applied Mathematics
Numerical methods for the eigenvalue determination of second-order ordinary differential equations
Journal of Computational and Applied Mathematics
Using a (Higher-Order) Magnus Method to Solve the Sturm-Liouville Problem
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part I
Boundary Value Methods as an extension of Numerov's method for Sturm--Liouville eigenvalue estimates
Applied Numerical Mathematics
CP methods and the evaluation of negative energy Coulomb Whittaker functions
Journal of Computational and Applied Mathematics
Pseudospectral methods for solving an equation of hypergeometric type with a perturbation
Journal of Computational and Applied Mathematics
Applying numerical continuation to the parameter dependence of solutions of the Schrödinger equation
Journal of Computational and Applied Mathematics
Numerical solution of the inverse spectral problem for Bessel operators
Journal of Computational and Applied Mathematics
Solution of Sturm-Liouville Problems Using Modified Neumann Schemes
SIAM Journal on Scientific Computing
Piecewise constant perturbation methods for the multichannel schrödinger equation
ICCS'06 Proceedings of the 6th international conference on Computational Science - Volume Part IV
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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.