Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations

الملخص EN

The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations.

We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods.

Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.