Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ordinary differential equations

DOI10.1007/s10958-016-3184-4zbMath1361.65033OpenAlexW2564994180MaRDI QIDQ521075

Nataliia M. Romaniuk, Volodymyr L. Makarov, Ivan P. Gavrilyuk

Publication date: 6 April 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-3184-4

zbMATH Keywords

algorithmeigenvalue problemlinear operatormultiple eigenvaluessuperexponential convergencehigh-order ordinary differential operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical solutions to equations with linear operators (65J10) 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 (2)

Exponentially convergent symbolic algorithm of the functional-discrete method for the fourth order Sturm-Liouville problems with polynomial coefficients ⋮ Resonant equations with classical orthogonal polynomials. I

Uses Software

• SLEDGE

Cites Work

• An Oscillation Method for Fourth-Order, Selfadjoint, Two-Point Boundary Value Problems with Nonlinear Eigenvalues
• Mathematical software for Sturm-Liouville problems
• DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
• Exponentially convergent parallel algorithm for nonlinear eigenvalue problems
• Estimating the Eigenvalues of Sturm–Liouville Problems by Approximating the Differential Equation
• Functional-discrete Method (FD-method) for Matrix Sturm-Liouville Problems
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