Functional-discrete Method (FD-method) for Matrix Sturm-Liouville Problems

DOI10.2478/cmam-2005-0017zbMath1088.65074OpenAlexW2039013153MaRDI QIDQ5715944

I. I. Lazurchak, B. I. Bandyrskii, Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 5 January 2006

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/cmam-2005-0017

zbMATH Keywords

convergencea priori estimatesnumerical exampleseigenvaluesasymptotic expansionsSturm-Liouville problem with matrix coefficients

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) 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 (6)

Super-exponentially convergent parallel algorithm for eigenvalue problems with fractional derivatives ⋮ FD-method for a nonlinear eigenvalue problem with discontinuous eigenfunctions ⋮ An exponentially convergent functional-discrete method for solving Sturm-Liouville problems with a potential including the Dirac \(\delta\)-function ⋮ Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations ⋮ A numerical procedure to solve the multichannel Schrödinger eigenvalue problem ⋮ Eigenvalues of vectorial Sturm-Liouville problems with parameter dependent boundary conditions

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