Before revision:  Following from recent work on multirate exponential Runge--Kutta (MERK) methods , that construct multirate schemes by approximating the action of matrix \varphi-functions within explicit exponential Runge--Kutta methods, the proposed methods similarly build off of explicit exponential Rosenbrock (ExpRB) methods .
After revision:  Following from recent work on multirate exponential Runge--Kutta (MERK) methods , that construct multirate schemes by approximating the action of matrix \varphi-functions within explicit exponential Rosenbrock (ExpRB) methods .