Eigenvalue and eigenfunction computations for Sturm-Liouville problems

DOI10.1145/210232.210238zbMath0900.65255OpenAlexW2160610041MaRDI QIDQ4371776

Hans G. Kaper, Paul. B. Bailey, B. S. Garbow, Anton Zettl

Publication date: 18 March 1998

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1991-17/

zbMATH Keywords

eigenvalueseigenfunctionsSturm-Liouville problemssoftware packagePrüfer transformationsemidefinite weight functions

Mathematics Subject Classification ID

Packaged methods for numerical algorithms (65Y15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Numerical methods for the eigenvalue determination of second-order ordinary differential equations ⋮ Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations ⋮ Reprint of ``Variable-step finite difference schemes for the solution of Sturm-Liouville problems ⋮ The Laguerre pseudospectral method for the radial Schrödinger equation ⋮ Computing eigenvalues of singular Sturm-Liouville problems ⋮ Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems ⋮ Pseudospectral methods for solving an equation of hypergeometric type with a perturbation ⋮ Self-adjoint differential equations for classical orthogonal polynomials ⋮ Variable-step finite difference schemes for the solution of Sturm-Liouville problems ⋮ Eigenfunction expansions for transient diffusion in heterogeneous media

Uses Software

• SLEIGN2
• Algorithm 700
• GERK