On a fourth-order finite difference method for nonlinear two-point boundary value problems.
On order 5 symplectic explicit Runge-Kutta Nyström methods.
On Orthogonal Series Solution For Boundary Layer Problems
On the comparison of error bounds for finite difference schemes.
On the convergence of multistep methods for nonlinear stiff differential equations.
On the convergence of multistep methods for nonlinear two-point boundary value problems
On the sharpness of a superconvergence estimate in connection with one-dimensional Galerkin-methods.
On the Structure of Error Estimates for Finite-Difference Methods.
One-step methods for ordinary differential equations with parameters
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
Opposing flows in a one dimensional convection-diffusion problem
In this paper, we examine a particular class of singularly perturbed convection-diffusion problems with a discontinuous coefficient of the convective term. The presence of a discontinuous convective coefficient generates a solution which mimics flow moving in opposing directions either side of some flow source. A particular transmission condition is imposed to ensure that the differential operator is stable. A piecewise-uniform Shishkin mesh is combined with a monotone finite difference operator...
Optimale Runge-Kutta-Verfahren der Ordnung 2 und 3.