A pseudospectral approach for polar and spherical geometries

A fast solver of the shallow water equations on a sphere using a combined compact difference scheme

Journal of Computational Physics

The CASL algorithm for quasi-geostrophic flow in a cylinder

Journal of Computational Physics

Spectral collocation schemes on the unit disc

Journal of Computational Physics

A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers

Journal of Computational Physics

Eigenfrequencies of fractal drums

Journal of Computational and Applied Mathematics

Pseudo-spectral/finite-difference adaptive method for spherical shallow-water equations

International Journal of Computer Mathematics - Recent Advances in Computational and Applied Mathematics in Science and Engineering

Efficient spectral-Galerkin methods for polar and cylindrical geometries

Applied Numerical Mathematics

An adaptive solver for the spherical shallow water equations

Mathematics and Computers in Simulation

Brinkman equation for a corrugated pipe using a spectral-Galerkin method

Computers & Mathematics with Applications

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

The EPS method: A new method for constructing pseudospectral derivative operators

Journal of Computational Physics

A pseudospectral matrix method for time-dependent tensor fields on a spherical shell

Journal of Computational Physics