time differencing method

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。

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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；

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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。

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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

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