neutral type, asymptotic stability, Hybrid systems, Runge-Kutta methods, multistep methods, One-leg methods, Numerical stability, Linear multistep methods, Functional equations, Numerical approximation of solutions of functional-differential equations, Linear, Numerical methods for initial value problems involving ordinary differential equations, Neutral functional-differential equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Computational Mathematics, Computational Theory and Mathematics, Modelling and Simulation, Functional-differential equations, Numerical methods for functional equations, Stability and convergence of numerical methods for ordinary differential equations, linear stability, explicit and implicit methods