On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs
In this technical note a general procedure is described to construct internally consistent splitting methods for the numerical solution of differential equations, starting from matching pairs of explicit and diagonally implicit Runge-Kutta methods. The procedure will be applied to suitable second-order pairs, and we will consider methods with or without a mass conserving finishing stage. For these splitting methods, the linear stability properties are studied and numerical test results are presented.
Hundsdorfer, W. (2017). On the Construction of Splitting Methods by Stabilizing Corrections with Runge-Kutta Pairs.