Welcome to our community

Be a part of something great, join today!

[SOLVED] Strang splitting accuracy

dwsmith

Well-known member
Feb 1, 2012
1,673
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.