time differencing method

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.

对非线性系统提出了任意阶隐式指数时程差分多步法，实现了任意阶次指数时程差分预测校正算法。

For the systematic error hiding in polar coordinates measurement, a surveying scheme based on multi real time differencing method was presented, and theoretical analysis was made on the accuracy of the method, and furthermore, the Mean Square Error formulae in 3-dimensional coordinates were derived.

针对极坐标测量中存在的系统误差，提出了多重实时差分的测量方案，对该方法的精度进行了理论分析，推导了3维坐标的中误差公式。

The numerical calculation results show that accuracy and efficiency of the second-order exponential time differencing Runge-Kutta method are better than those of forth-order traditional Runge-Kutta method.

数值计算结果表明，对于非线性动力学系统，二阶指数时程差分Runge Kutta法在计算效率和精度上要优于四阶传统Runge Kutta法；