1 the A-stability is characterized by:

2 Euler method is:

3 the absolute stability region for RK4 is greater than the A-stability region for the same method:

4 A numerical method is stable if :

5 $\lambda =1$ is always a root of the characteristic polynomial of the multistep method:

6 the root of the C.P. can be real or complex,and the method still be stable:

7 A multi- step method is strongly stable if :

8 if more than one root has magnitude equal to 1, and the others are less than one, the method is

9 The numerical method is unstable if

10 the absolute stabity region for the explicit Euler's method is

11 None of the RK methods is A-Stable:

12 All explicit methods are :

13 implicit multistep methods are A-stable if the have order at most