A collocation/quadrature-based Sturm-Liouville problem solver

DOI10.1016/S0096-3003(99)00065-XzbMath1023.65081OpenAlexW2029607864MaRDI QIDQ1569200

Yi-hung Lin, Raymond A. Adomaitis

Publication date: 25 June 2000

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00065-x

zbMATH Keywords

algorithmseigenvalueSturm-Liouville problemserror controlprojection methodseigenfunction expansionpolynomial collocation methods

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (4)

Application of orthogonal collocation on finite elements for solving nonlinear boundary value problems ⋮ A computationally efficient technique for solving two-point boundary value problems in porous media ⋮ A reduced-basis discretization method for chemical vapor deposition reactor simulation ⋮ Solution of two point boundary value problems using orthogonal collocation on finite elements

Uses Software

• MWRtools

Cites Work

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• Numerical quadrature and solution of ordinary differential equations. A textbook for a beginning course in numerical analysis
• A modified difference scheme for periodic and semiperiodic Sturm- Liouville problems
• A Fast Adaptive Numerical Method for Stiff Two-Point Boundary Value Problems
• Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions
• Mathematical software for Sturm-Liouville problems
• On the Gibbs Phenomenon and Its Resolution
• Survey of Extrapolation Processes in Numerical Analysis

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