Orthogonal Polynomial Projection Error Measured in Sobolev Norms in the Unit Disk
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/article/10.1007/s00365-016-9358-y/fulltext.html
Reference35 articles.
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2. Aharmim, B., Amal, E.H., Fouzia, E.W., Ghanmi, A.: Generalized Zernike polynomials: operational formulae and generating functions. Integr. Transf. Spec. F. 26(6), 395–410 (2015). doi: 10.1080/10652469.2015.1012510
3. Andrews, G.E., Askey, R., Roy, R.: Special functions. Encyclopedia of Mathematics and Its Applications, vol. 71. Cambridge University Press, Cambridge (1999)
4. Bhatia, A.B., Wolf, E.: On the circle polynomials of Zernike and related orthogonal sets. Proc. Camb. Philos. Soc. 50, 40–48 (1954)
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(4), 1408–1438 (2011). doi: 10.1016/j.jcp.2010.11.011
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