A spectral embedding method applied to the advection-diffusion equation

A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds

Journal of Computational Physics

A Fast Spectral Subtractional Solver for Elliptic Equations

Journal of Scientific Computing

Accurate, high-order representation of complex three-dimensional surfaces via Fourier continuation analysis

Journal of Computational Physics

Fourier spectral embedded boundary solution of the Poisson's and Laplace equations with Dirichlet boundary conditions

Journal of Computational Physics

Spectral domain embedding for elliptic PDEs in complex domains

Journal of Computational and Applied Mathematics

Chebyshev tau matrix method for Poisson-type equations in irregular domain

Journal of Computational and Applied Mathematics

A spectral fictitious domain method with internal forcing for solving elliptic PDEs

Journal of Computational Physics

On the Fourier Extension of Nonperiodic Functions

SIAM Journal on Numerical Analysis

Direct Expansion Method of Boundary Condition for solving 3D elliptic equations with small parameters in the irregular domain

Computers & Mathematics with Applications

On the spectral accuracy of a fictitious domain method for elliptic operators in multi-dimensions

Journal of Computational Physics

On the resolution power of Fourier extensions for oscillatory functions

Journal of Computational and Applied Mathematics