The spectrum of the Gegenbauer collocation approximation for the second derivative operator

DOI10.1016/j.jmaa.2015.07.048zbMath1326.65098OpenAlexW1455539366MaRDI QIDQ499228

Marios Charalambides

Publication date: 30 September 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.07.048

zbMATH Keywords

spectrumcollocationspectral methodsstable polynomialsGegenbauer

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical differentiation (65D25)

Cites Work

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• Hermite-Biehler, Routh-Hurwitz, and total positivity
• The Fox-Wright functions and Laguerre multiplier sequences
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• Spectrum of the Jacobi Tau Approximation for the Second Derivative Operator
• The Eigenvalues of Second-Order Spectral Differentiation Matrices
• The Stability of Pseudospectral-Chebyshev Methods
• Gegenbauer Tau Methods With and Without Spurious Eigenvalues
• A new property of a class of Jacobi polynomials
• A Generalization of a Theorem of Bôcher

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