Mathematical software for Sturm-Liouville problems

Authors:
Steven Pruess;Charles T. Fulton
Affiliations:
Colorado School of Mines, Golden;Florida Institute of Technology, Melbourne
Venue:
ACM Transactions on Mathematical Software (TOMS)
Year:
1993

Citing 3
Cited 21

On shooting algorithms for calculating Sturm-Liouville eigenvalues

Journal of Computational Physics
Algorithm 700: A Fortran software package for Sturm–Liouville problems

ACM Transactions on Mathematical Software (TOMS)
Automatic Solution of the Sturm-Liouville Problem

ACM Transactions on Mathematical Software (TOMS)

Using the SLEDGE package on Sturm-Liouville problems having nonempty essential spectra

ACM Transactions on Mathematical Software (TOMS)
Algorithm 775: the code SLEUTH for solving fourth-order Sturm-Liouville problems

ACM Transactions on Mathematical Software (TOMS)
The computation of spectral density functions for singular Sturm-Liouville problems involving simple continuous spectra

ACM Transactions on Mathematical Software (TOMS)
Algorithm 810: The SLEIGN2 Sturm-Liouville Code

ACM Transactions on Mathematical Software (TOMS)
Computing eigenvalues and Fucik-spectrum of the radially symmetric p-Laplacian

Journal of Computational and Applied Mathematics - On the occasion of the 65th birthday of Prof. Michael Eastham
Computing the spectral function for singular Sturm-Liouville problems

Journal of Computational and Applied Mathematics
MATSLISE: A MATLAB package for the numerical solution of Sturm-Liouville and Schrödinger equations

ACM Transactions on Mathematical Software (TOMS)
RCMS: right correction Magnus series approach for oscillatory ODEs

Journal of Computational and Applied Mathematics
Accurate calculation of Green's function of the Schrödinger equation in a block layered potential

Journal of Computational Physics
Exponentially-fitted Numerov methods

Journal of Computational and Applied Mathematics
Computing the spectrum of non-self-adjoint Sturm-Liouville problems with parameter-dependent boundary conditions

Journal of Computational and Applied Mathematics
Numerical methods for the eigenvalue determination of second-order ordinary differential equations

Journal of Computational and Applied Mathematics
New characterizations of spectral density functions for singular Sturm-Liouville problems

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
Spectral methods in linear stability. Applications to thermal convection with variable gravity field

Applied Numerical Mathematics
Computing the spectral function for singular Sturm-Liouville problems

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
Solution of Sturm-Liouville Problems Using Modified Neumann Schemes

SIAM Journal on Scientific Computing
Computing the eigenvalues of a class of nonlocal Sturm-Liouville problems

Mathematical and Computer Modelling: An International Journal
Numerical computation of eigenvalues of discontinuous Sturm---Liouville problems with parameter dependent boundary conditions using sinc method

Numerical Algorithms

Quantified Score

Hi-index	0.01

Visualization

Abstract

Software is described for the Sturm-Liouville eigenproblem. Eigenvalues, eigenfunctions, and spectral density functions can be estimated with global error control. The method of approximating the coefficients forms the mathematical basis. The underlying algorithms are briefly described, and several examples are presented.