[SOLVED]Strang splitting accuracy

dwsmith

Well-known member
How do I show Strang splitting has second order accuracy?

For the the following equation
$u_t = (L + M)u,$
where $$L$$ and $$M$$ are linear time-dependent operators, I am trying to show that the Strang splitting scheme
$u_{n + 1} = e^{LH / 2}e^{MH}e^{LH / 2}u_n$
has second-order accuracy in time (here $$h$$ is the time step).

I am not sure how to do that though.