Orthogonal rational functions on a semi-infinite interval
Journal of Computational Physics
An adaptive pseudo-spectral method for reaction diffusion problems
Journal of Computational Physics
A modified Chebyshev pseudospectral method with an O(N–1) time step restriction
Journal of Computational Physics
A semi-implicit ocean circulation model using a generalized topography-following coordinate system
Journal of Computational Physics
Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems
SIAM Journal on Scientific Computing
A new efficient spectral Galerkin method for singular perturbation problems
Journal of Scientific Computing
SIAM Journal on Scientific Computing
A Rational Approximation and Its Applications to Differential Equations on the Half Line
Journal of Scientific Computing
Applied Numerical Mathematics
Error Analysis for Mapped Legendre Spectral and Pseudospectral Methods
SIAM Journal on Numerical Analysis
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
Journal of Approximation Theory
Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials
Journal of Scientific Computing
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Approximation properties of mapped Jacobi polynomials and of interpolations based on mapped Jacobi--Gauss--Lobatto points are established. These results play an important role in numerical analysis of mapped Jacobi spectral methods. As examples of applications, optimal error estimates for several popular regular and singular mappings are derived.