New classes of continuous two-step Runge-Kutta methods for the numerical solution of ordinary differential equations are derived. These methods are developed imposing some interpolation and collocation conditions, in order to obtain desirable stability properties such as A-stability and L-stability. Particular structures of the stability polynomial are also investigated.
- Quadratic stability functions
- Runge-Kutta stability
- Two-step collocation methods
ASJC Scopus subject areas
- Applied Mathematics