The arbitrary order implicit multistep exponential time differencing method and its application for nonlinear systems
任意阶隐式指数时程差分多步法及其在非线性系统中的应用

The arbitrary order implicit exponential time differencing multistep method is proposed for nonlinear systems.We carry out the predictor_corrector method of exponential time differencing.When the method is applied to the nonlinear systems,the effect is admirable.The numerical results show that the accuracy of explicit exponential time differencing multistep method can be enhanced by implicit exponential time differencing multistep method,and the lather is highly accurate and computationally efficient.The exponential time differencing method has been developen and perfected by the present studies.