The use of the generalized sinc-Gaussian sampling for numerically computing eigenvalues of periodic Dirac system

DOI10.1553/ETNA_VOL48S373zbMath1408.30039OpenAlexW2901650602WikidataQ128952233 ScholiaQ128952233MaRDI QIDQ1716833

Rashad M. Asharabi, Mohammed M. Tharwat

Publication date: 5 February 2019

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://etna.mcs.kent.edu/volumes/2011-2020/vol48/abstract.php?vol=48&pages=373-386

zbMATH Keywords

eigenvaluesconvergence rategeneralized sinc-Gaussian sampling operatorperiodic Dirac system

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Rate of convergence, degree of approximation (41A25) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

Related Items (2)

Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula ⋮ An Overview of the Computation of the Eigenvalues Using Sinc-Methods

Cites Work

• Generalized sinc-Gaussian sampling involving derivatives
• On the computation of the eigenvalues of Dirac systems
• Approximating eigenvalues of Dirac system with discontinuities at several points using Hermite-Gauss method
• Approximating eigenvalues of boundary value problems by using the Hermite-Gauss sampling method
• Sinc-based computations of eigenvalues of Dirac systems
• Reconstruction of Entire Functions From Irregularly Spaced Sample Points
• On the regularized Whittaker-Kotel’nikov-Shannon sampling formula
• A Modification of Hermite Sampling with a Gaussian Multiplier
• GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES
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