Stepsize restrictions for nonlinear stability properties of neutral delay differential equations
Summary: 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.
scientific article; zbMATH DE number 7022124
scientific article