Two FORTRAN packages for assessing initial value methods
ACM Transactions on Mathematical Software (TOMS)
Numerical methods for solving radial Schro¨dinger equations
Journal of Computational and Applied Mathematics
LCNO Sturm-Liouville problems: computational difficulties and examples
Numerische Mathematik
Eigenvalue and eigenfunction computations for Sturm-Liouville problems
ACM Transactions on Mathematical Software (TOMS)
An asymptotic numerical method for a class of singular Sturm-Liouville problems
SIAM Journal on Numerical Analysis
ACM Transactions on Mathematical Software (TOMS)
Algorithm 789: SLTSTPAK: a test package for Sturm-Liouville solvers
ACM Transactions on Mathematical Software (TOMS)
Automatic Solution of the Sturm-Liouville Problem
ACM Transactions on Mathematical Software (TOMS)
Theory and implementation of algorithms for sturm-liouville computations
Theory and implementation of algorithms for sturm-liouville computations
Algorithm 789: SLTSTPAK: a test package for Sturm-Liouville solvers
ACM Transactions on Mathematical Software (TOMS)
Algorithm 810: The SLEIGN2 Sturm-Liouville Code
ACM Transactions on Mathematical Software (TOMS)
MATSLISE: A MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations
ACM Transactions on Mathematical Software (TOMS)
Numerical methods for the eigenvalue determination of second-order ordinary differential equations
Journal of Computational and Applied Mathematics
Interval Subroutine Library Mission
Reliable Implementation of Real Number Algorithms: Theory and Practice
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The author and colleagues have produced a collection of 60 test problems which offer a realistic performance test of the currently available automatic codes for eigenvalues of the classical Sturm-Liouville problem. We describe a Fortran implementation and the considerations that went into its design. A novel feature is that (almost) all the code defining one problem is textually contiguous in the Fortran text, unlike for example the DETEST package for ODE initial-value solvers where the definition of a problem is spread over several routines. The described implementation forms the infrastructure of the SLDRVER interactive package which supports exploration of a set of Sturm-Liouville problems with the four SL-solvers SLEIGN, SLEDGE, SL02F, and SLEIGN2. A “standard” set of 60 problems is provided, but it is simple to replace this by another one.