Abstract: In 1990 Maday et. al. introduced a framework for generating splitting methods for initial value problems based on integration factors. The idea is that by introducing such factors we can effectively solve the constituent parts of a multicomponent vector field uncoupled, an attractive feature if the total vector field is hard to integrate.
The integration factor (a square matrix) is never actually formed, but its action is evaluated by solving associated sub-IVPs. I will present the framework, show some results, discuss drawbacks to the metod and discribe possible future work.