Numerical Analysis/stability of RK methods/exercises

Exercises

edit

Ex:1

edit

find the stability function for RK2 which is given by:  

Ex:2

edit

find the absolute stability region for RK2.

Ex:3

edit

find the characteristic polynomial for RK2.

Ex:4

edit

is RK2 stable, if it is what type of stability.


Ex:5

edit

Determine the stability of Back ward Euler method.