A spectral method for polar coordinates

An efficient spectral-projection method for the Navier--Stokes equations in cylindrical geometries

Journal of Computational Physics

A spectral/B-spline method for the Navier-Stokes equations in unbounded domains

Journal of Computational Physics

Spectral collocation schemes on the unit disc

Journal of Computational Physics

Spectral radial basis functions for full sphere computations

Journal of Computational Physics

Poloidal-toroidal decomposition in a finite cylinder

Journal of Computational Physics

Poloidal-toroidal decomposition in a finite cylinder. I: Influence matrices for the magnetohydrodynamic equations

Journal of Computational Physics

Efficient spectral-Galerkin methods for polar and cylindrical geometries

Applied Numerical Mathematics

An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates

Journal of Computational Physics

An optimal Galerkin scheme to solve the kinematic dynamo eigenvalue problem in a full sphere

Journal of Computational Physics

Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations

Journal of Computational Physics

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

Journal of Computational Physics

A Fourier-Legendre spectral element method in polar coordinates

Journal of Computational Physics

A 3D pseudospectral method for cylindrical coordinates. Application to the simulations of rotating cavity flows

Journal of Computational Physics

A sparse mesh for Compact Finite Difference-Fourier solvers with radius-dependent spectral resolution in circular domains

Computers & Mathematics with Applications