Parity symmetry with respect to both \(x=0\) and \(x=L\) requires periodicity with period \(4L\): connections between computer graphics, group theory and spectral methods for solving partial differential equations

DOI10.1016/j.amc.2012.09.004zbMath1311.42007OpenAlexW2036918170MaRDI QIDQ2344633

Yang (Chris) Xiu, John P. Boyd

Publication date: 15 May 2015

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.004

zbMATH Keywords

Fourier seriespseudospectralparityMathieu functions

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

The Crane equation \(u u_{x x} = - 2\): the general explicit solution and a case study of Chebyshev polynomial series for functions with weak endpoint singularities

Uses Software

• Matlab

Cites Work

• Mathieu functions and spheroidal functions and their mathematical foundations. Further studies
• Visualization of Special Eigenmode Shapes of a Vibrating Elliptical Membrane
• Spectral Methods in MATLAB
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