A MATLAB differentiation matrix suite
ACM Transactions on Mathematical Software (TOMS)
A survey of numerical techniques for solving singularly perturbed ordinary differential equations
Applied Mathematics and Computation
Numerical evaluation of the pth derivative of Jacobi series
Applied Numerical Mathematics
Moving mesh finite element methods based on harmonic maps
Scientific computing and applications
Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the 6th Japan--China joint seminar on numerical mathematics, university of Tsukuba, Japan, 5-9 August 2002
Adaptive point shifts in rational approximation with optimized denominator
Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Error Analysis for Mapped Jacobi Spectral Methods
Journal of Scientific Computing
Fast algorithms for spectral collocation with non-periodic boundary conditions
Journal of Computational Physics
Higher order pseudospectral differentiation matrices
Applied Numerical Mathematics
Adaptive multiquadric collocation for boundary layer problems
Journal of Computational and Applied Mathematics
Level Set Calculations for Incompressible Two-Phase Flows on a Dynamically Adaptive Grid
Journal of Scientific Computing
Solving regularly and singularly perturbed reaction-diffusion equations in three space dimensions
Journal of Computational Physics
Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics
Journal of Scientific Computing
Spectral collocation solution of a generalized Hirota-Satsuma coupled KdV equation
International Journal of Computer Mathematics
Numerical solutions for constrained time-delayed optimal control problems
International Journal of Computer Mathematics
Adaptive pseudospectral solution of a diffuse interface model
Journal of Computational and Applied Mathematics
Dynamics and synchronization of numerical solutions of the Burgers equation
Journal of Computational and Applied Mathematics
Higher order pseudospectral differentiation matrices
Applied Numerical Mathematics
Multiquadric collocation method with integralformulation for boundary layer problems
Computers & Mathematics with Applications
Journal of Computational and Applied Mathematics
Adaptive multiquadric collocation for boundary layer problems
Journal of Computational and Applied Mathematics
Numerical simulations of 2D fractional subdiffusion problems
Journal of Computational Physics
Mathematical and Computer Modelling: An International Journal
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
On the optimization of Gegenbauer operational matrix of integration
Advances in Computational Mathematics
Hi-index | 0.02 |
Pseudospectral methods are investigated for singularly perturbed boundary value problems for ordinary differential equations (ODEs) which possess boundary layers. It is well known that if the boundary layer is very small then a very large number of spectral collocation points is required to obtain accurate solutions. We introduce here a new effective procedure based on coordinate stretching and the Chebyshev pseudospectral method to resolve the boundary layers. Stable and accurate results are obtained for very thin boundary layers with a fairly small number of spectral collocation points.