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 confor

From MaRDI portal
Publication:630380

DOI10.1016/j.jcp.2010.11.011zbMath1210.65192OpenAlexW1978632040MaRDI QIDQ630380

John P. Boyd, Fu Yu

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.11.011



Related Items

A gyroscopic polynomial basis in the sphere, Power series solution for solving nonlinear Burgers-type equations, A three-dimensional PSME model for rotating flows in an annular cavity, Unnamed Item, Symmetrizing grids, radial basis functions, and Chebyshev and Zernike polynomials for the \(D_4\) symmetry group; interpolation within a squircle. I, Chebyshev-Fourier spectral methods in bipolar coordinates, Orthogonal polynomial projection error measured in Sobolev norms in the unit disk, Rhodonea curves as sampling trajectories for spectral interpolation on the unit disk, A new triangular spectral element method. I: Implementation and analysis on a triangle, Multidomain spectral method for the Gauss hypergeometric function, Tensor calculus in polar coordinates using Jacobi polynomials, Gyroscopic polynomials, Tensor calculus in spherical coordinates using Jacobi polynomials. II: Implementation and examples, Tensor calculus in spherical coordinates using Jacobi polynomials. I: Mathematical analysis and derivations, A fast solver for the narrow capture and narrow escape problems in the sphere, A Fourier-Legendre spectral element method in polar coordinates, On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods, Transport of phase space densities through tetrahedral meshes using discrete flow mapping, A new spectral element method for numerical solution of partial differential equations on annular-type regions, The relationships between Chebyshev, Legendre and Jacobi polynomials: the generic superiority of Chebyshev polynomials and three important exceptions, Spectral methods in non-tensor geometry. II: Chebyshev versus Zernike polynomials, gridding strategies and spectral extension on squircle-bounded and perturbed-quadrifolium domains, Non-homogeneous wave equation on a cone, Radial collocation methods for the onset of convection in rotating spheres, MIXED JACOBI-FOURIER SPECTRAL METHOD FOR FISHER EQUATION, Optimal truncations for multivariate Fourier and Chebyshev series: mysteries of the hyperbolic cross. I: bivariate case, Computing the Dirichlet--Neumann Operator on a Cylinder, Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk, Computing with Functions in Spherical and Polar Geometries II. The Disk


Uses Software


Cites Work