On a fourth-order finite difference method for nonlinear two-point boundary value problems.
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Displaying 1 – 11 of 11
On order 5 symplectic explicit Runge-Kutta Nyström methods.
Chou, Lin-Yi, Sharp, P.W. (2000)
Journal of Applied Mathematics and Decision Sciences
On Orthogonal Series Solution For Boundary Layer Problems
Nevenka Adžić (1991)
Publications de l'Institut Mathématique
On the comparison of error bounds for finite difference schemes.
H. Esser, R.J. Nessel, B. Büttgenbach (1993)
Numerische Mathematik
On the convergence of multistep methods for nonlinear stiff differential equations.
C. Lubich (1990/1991)
Numerische Mathematik
On the convergence of multistep methods for nonlinear two-point boundary value problems
Tadeusz Jankowski (1991)
Annales Polonici Mathematici
On the sharpness of a superconvergence estimate in connection with one-dimensional Galerkin-methods.
Goebbels, St.J. (1999)
Journal of Inequalities and Applications [electronic only]
On the Structure of Error Estimates for Finite-Difference Methods.
M.N. Spijker (1971/1972)
Numerische Mathematik
One-step methods for ordinary differential equations with parameters
Tadeusz Jankowski (1990)
Aplikace matematiky
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
Eugene O’Riordan (2012)
Open Mathematics
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.
F. Stetter (1968)
Monatshefte für Mathematik
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