Spectral theory of ordinary differential operators
Spectral theory of ordinary differential operators
Mathematical software for Sturm-Liouville problems
ACM Transactions on Mathematical Software (TOMS)
Certification of algorithm 700 numerical tests of the SLEIGN 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)
Algorithm 700: A Fortran software package for Sturm–Liouville problems
ACM Transactions on Mathematical Software (TOMS)
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)
Counting and computing Eigenvalues of left-definite Sturm--Liouville problems
Journal of Computational and Applied Mathematics - On the occasion of the 65th birthday of Prof. Michael Eastham
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
Oscillation results for Sturm-Liouville problems with an indefinite weight function
Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt
Multiplicity of Sturm-Liouville eigenvalues
Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt
Exponentially-fitted Numerov methods
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Numerical methods for the eigenvalue determination of second-order ordinary differential equations
Journal of Computational and Applied Mathematics
Pseudospectral methods for solving an equation of hypergeometric type with a perturbation
Journal of Computational and Applied Mathematics
Solution of Sturm-Liouville Problems Using Modified Neumann Schemes
SIAM Journal on Scientific Computing
Journal of Computational and Applied Mathematics
Homogeneous trees of second order Sturm-Liouville equations: A general theory and program
Computers and Structures
Computing eigenvalues of Sturm---Liouville problems by Hermite interpolations
Numerical Algorithms
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The SLEIGN2 code is based on the ideas and methods of the original SLEIGN code of 1979. The main purpose of the SLEIGN2 code is to compute eigenvalues and eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems, with both separated and coupled boundary conditions, and to approximate the continuous spectrum in the singular case. The code uses some new algorithms, which we describe, and has a driver program that offers a user-friendly interface. In this paper the algorithms and their implementations are discussed, and the class of problems to which each algorithm applied is identified.