A direct spectral collocation Poisson solver in polar and cylindrical coordinates

A Fast Spectral Subtractional Solver for Elliptic Equations

Journal of Scientific Computing

Spectral collocation schemes on the unit disc

Journal of Computational Physics

A fast iterative solver for the variable coefficient diffusion equation on a disk

Journal of Computational Physics

Pseudo Spectral Methods Applied to Problems in Elasticity

Journal of Scientific Computing

A pseudospectral method of solution of Fisher's equation

Journal of Computational and Applied Mathematics

Efficient spectral-Galerkin methods for polar and cylindrical geometries

Applied Numerical Mathematics

Schur-decomposition for 3D matrix equations and its application in solving radiative discrete ordinates equations discretized by Chebyshev collocation spectral method

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

Matrix decomposition algorithms for elliptic boundary value problems: a survey

Numerical Algorithms

A Fourier-Legendre spectral element method in polar coordinates

Journal of Computational Physics

An error minimized pseudospectral penalty direct Poisson solver

Journal of Computational Physics

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator

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