Before revision:  These new integrators can be constructed at arbitrary orders of accuracy , have improved stability compared to existing polynomial based exponential linear multistep methods , and can offer significant computational savings compared to current state-of-the-art methods .
After revision:  These new integrators can be constructed at arbitrary orders of accuracy and have improved stability compared to existing polynomial based exponential linear multistep methods , and can offer significant computational savings compared to current state-of-the-art methods .