Is semi-implicit Euler unconditionally stable?
Posted: Mon Sep 30, 2013 9:44 pm
Hello.
I just wonder if the (widely used) semi-implicit Euler time integration is "unconditionally stable."
My intuition says "no" because the gravity is explicitly integrated.
However, I see the simulation is very stable with increase of time step size (although inaccuracy certainly increases).
Is there any one know if it is unconditionally stable or not.
If not, is there any theoretical numerical limit such that the stability is guaranteed?
Thanks much!!
I just wonder if the (widely used) semi-implicit Euler time integration is "unconditionally stable."
My intuition says "no" because the gravity is explicitly integrated.
However, I see the simulation is very stable with increase of time step size (although inaccuracy certainly increases).
Is there any one know if it is unconditionally stable or not.
If not, is there any theoretical numerical limit such that the stability is guaranteed?
Thanks much!!