Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan–Shepp ridge polynomials, Chebyshev–Fourier Series, cylindrical Robert functions, Bessel–Fourier expansions, square-to-disk conformal mapping and radial basis functions

Title

Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan–Shepp ridge polynomials, Chebyshev–Fourier Series, cylindrical Robert functions, Bessel–Fourier expansions, square-to-disk conformal mapping and radial basis functions

Authors

Keywords

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Journal

JOURNAL OF COMPUTATIONAL PHYSICS

Volume 230, Issue 4, Pages 1408-1438

Publisher

Elsevier BV

Online

2010-11-17

DOI

10.1016/j.jcp.2010.11.011