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 , have improved stability compared to existing polynomial based exponential linear multistep methods . Moreover, if the ODE right-hand side evaluations can be parallelized efficiently, then high-order EPBMs are significantly more efficient at obtaining highly accurate solutions than exponential linear multistep methods and exponential spectral deferred correction methods of equivalent order .