Spectral methods using rational basis functions on an infinite interval

A Rational Approximation and Its Applications to Differential Equations on the Half Line

Journal of Scientific Computing

Shifted Chebyshev Collocation Domain Truncation for Solving Problems on an Infinite Interval

Journal of Scientific Computing

Fourier-Galerkin method for interacting localized waves

Neural, Parallel & Scientific Computations

Pseudospectral methods on a semi-infinite interval with application to the Hydrogen atom: a comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions

Journal of Computational Physics

Mixed laguerre-legendre pseudospectral method for incompressible fluid flow in an infinite strip

Mathematics of Computation

Prolate spheroidal wavefunctions as an alternative to Chebyshev and Legendre polynomials for spectral element and pseudospectral algorithms

Journal of Computational Physics

A Chebyshev/rational Chebyshev spectral method for the Helmholtz equation in a sector on the surface of a sphere: defeating corner singularities

Journal of Computational Physics

Fourier-Galerkin method for 2D solitons of Boussinesq equation

Mathematics and Computers in Simulation

Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics

Journal of Scientific Computing

Rational Legendre pseudospectral approach for solving nonlinear differential equations of Lane-Emden type

Journal of Computational Physics

Generalized Jacobi Rational Spectral Method and Its Applications

Journal of Scientific Computing

The spectral methods for parabolic Volterra integro-differential equations

Journal of Computational and Applied Mathematics

Numerical and perturbative computations of solitary waves of the Benjamin-Ono equation with higher order nonlinearity using Christov rational basis functions

Journal of Computational Physics

Generalized Jacobi rational spectral method on the half line

Advances in Computational Mathematics

Efficient Spectral Sparse Grid Methods and Applications to High-Dimensional Elliptic Equations II. Unbounded Domains

SIAM Journal on Scientific Computing

The Sinc-collocation method for solving the Thomas-Fermi equation

Journal of Computational and Applied Mathematics

A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation

Journal of Computational and Applied Mathematics

Rational Chebyshev series for the Thomas-Fermi function: Endpoint singularities and spectral methods

Journal of Computational and Applied Mathematics