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[SOLVED] Strang splitting accuracy


Well-known member
Feb 1, 2012
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.