Operator Splitting

Abstract In mathematics, a common approach to solving new problem is break down the into sub-problems that you know how solve and then try glue pieces together yield solution of problem. This also very useful in software development; well-tested can be glued order obtain solutions wider class problems. Operator splitting technique illustrates this principle well. Rather complex equations broken more familiar problems solved individually. It’s miracle it works, but does. And it’s no because there are proofs convergence. Anyway, we will illustrate operator with two examples come back when become challenging.