Title: Efficient boundary corrected Strang splitting,
Abstract: Strang splitting is a well established tool for the numerical integration of
evolution equations. It allows the application of tailored integrators for
different parts of the vector field. However, it is also prone to order
reduction in the case of non-trivial boundary conditions. This order reduction
can be remedied by correcting the boundary values of the intermediate splitting
step. In this paper, three different approaches for constructing such a
correction in the case of inhomogeneous Dirichlet, Neumann, and mixed boundary
conditions are presented. Numerical examples that illustrate the effectivity
and benefits of these corrections are included.