A Chebyshev/rational Chebyshev spectral method for the Helmholtz equation in a sector on the surface of a sphere: defeating corner singularities

DOI10.1016/j.jcp.2004.12.006zbMath1072.65153OpenAlexW2049678740MaRDI QIDQ1780630

John P. Boyd

Publication date: 13 June 2005

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2004.12.006

zbMATH Keywords

convergencenumerical examplesHelmholtz equationChebyshev polynomialCorner singularitiesPseudospectralRational Chebyshev functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (2)

A rational spectral method for the KdV equation on the half line ⋮ Large-degree asymptotics and exponential asymptotics for Fourier, Chebyshev and Hermite coefficients and Fourier transforms

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