Stability regions of different families of methods

1
Stability regions of different families of methods
figures are copied from notes by Prof. H.
Rieckes at Northwestern Univ.
Stability region of Adams-Bashforth methods
shrinks with increasing order of method.
Stability region of Adams-Moulton
methods shrinks with increasing order of method.
(AM1 and 2 are absolutely stable.)
Stability region of Runge-Kutta
methods increases with increasing order of method.