Spectral integration and two-point boundary value problems

A MATLAB differentiation matrix suite

ACM Transactions on Mathematical Software (TOMS)

Semi-implicit projection methods for incompressible flow based on spectral deferred corrections

Applied Numerical Mathematics - Special issue: Workshop on innovative time integrators for PDEs

Volterra method for the radial Schrödinger equation

Journal of Computational and Applied Mathematics

A Fourier-Wachspress method for solving Helmholtz's equation in three-dimensional layered domains

Journal of Computational Physics

A Fourier-Wachspress method for solving Helmholtz's equation in three-dimensional layered domains

Journal of Computational Physics

Accelerating the convergence of spectral deferred correction methods

Journal of Computational Physics

An integral equation method for epitaxial step-flow growth simulations

Journal of Computational Physics

Arbitrary order Krylov deferred correction methods for differential algebraic equations

Journal of Computational Physics

Krylov deferred correction accelerated method of lines transpose for parabolic problems

Journal of Computational Physics

Pseudospectral integration matrix and boundary value problems

International Journal of Computer Mathematics

Fredholm integral equation method for the integro-differential Schrödinger equation

Computers & Mathematics with Applications

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

Journal of Computational and Applied Mathematics

Semi-implicit Krylov deferred correction methods for ordinary differential equations

AMATH'09 Proceedings of the 15th american conference on Applied mathematics

Adaptive rational spectral methods for the linear stability analysis of nonlinear fourth-order problems

Journal of Computational Physics

Volterra type integral equation method for the radial Schrödinger equation: Single channel case

Computers & Mathematics with Applications

A numerical comparison of Chebyshev methods for solving fourth order semilinear initial boundary value problems

Journal of Computational and Applied Mathematics

An evaluation of solution algorithms and numerical approximation methods for modeling an ion exchange process

Journal of Computational Physics

Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations

Journal of Computational Physics

A symbolic algorithm for solving linear two-point boundary value problems by modified Picard technique

Mathematical and Computer Modelling: An International Journal

Fast elliptic solvers in cylindrical coordinates and the Coulomb collision operator

Journal of Computational Physics

Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices

Journal of Computational and Applied Mathematics

Optimal Gegenbauer quadrature over arbitrary integration nodes

Journal of Computational and Applied Mathematics

Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method

Journal of Computational and Applied Mathematics

Computation of frequency responses for linear time-invariant PDEs on a compact interval

Journal of Computational Physics

Navier-Stokes solver using Green's functions I: Channel flow and plane Couette flow

Journal of Computational Physics

An enhanced parareal algorithm based on the deferred correction methods for a stiff system

Journal of Computational and Applied Mathematics

On the optimization of Gegenbauer operational matrix of integration

Advances in Computational Mathematics