Rhodonea Curves as Sampling Trajectories for Spectral Interpolation on the Unit Disk
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00365-019-09495-w.pdf
Reference41 articles.
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2. Bos, L., Caliari, M., De Marchi, S., Vianello, M., Xu, Y.: Bivariate Lagrange interpolation at the Padua points: the generating curve approach. J. Approx. Theory 143(1), 15–25 (2006)
3. Boyd, J.P.: The choice of spectral functions on a sphere for boundary and eigenvalue problem. A comparison of Chebyshev, Fourier and associated Legendre expansions. Mon. Weather Rev. 106, 1184–1191 (1978)
4. Boyd, J.P.: Chebyshev and Fourier Spectral Methods. Dover Publications Inc., New York (2000)
5. Boyd, J.P., Yu, F.: 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. J. Comput. Phys. 230, 1408–1438 (2011)
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