Sinc approximation of eigenvalues of Sturm-Liouville problems with a Gaussian multiplier

DOI10.1007/s10092-013-0095-3zbMath1317.34175OpenAlexW1992986974MaRDI QIDQ2017968

Yanyan Li

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0095-3

zbMATH Keywords

Sturm-Liouville problemssampling theorysinc methodsinc-Gaussiantruncation and amplitude errors

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Sampling theory in information and communication theory (94A20) 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 (14)

Lagrange-Sturm-Liouville processes ⋮ On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class ⋮ Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method ⋮ Sufficient condition for convergence of Lagrange-Sturm-Liouville processes in terms of one-sided modulus of continuity ⋮ Necessary and Sufficient Conditions for the Uniform on a Segment Sinc-approximations Functions of Bounded Variation ⋮ A summation method for trigonometric Fourier series based on sinc-approximations ⋮ The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange –Sturm – Liouville ⋮ Uniform convergence of Lagrange - Sturm - Liouville processes on one functional class ⋮ On the uniform approximation of functions of bounded variation by Lagrange interpolation polynomials with a matrix of Jacobi nodes ⋮ A criterion of convergence of Lagrange-Sturm-Liouville processes in terms of one-sided module of variation ⋮ Gaussian regularized periodic nonuniform sampling series ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods ⋮ Convergence of the Lagrange-Sturm-Liouville Processes for Continuous Functions of Bounded Variation ⋮ Sharp exponential bounds for the Gaussian regularized Whittaker-Kotelnikov-Shannon sampling series

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