研究用微分方程数值解法——线性多步法替代神经网络的学习算法。
Training neural networks by using the linear multi-step method is studied, which is a classical numerical method for differential dynamics.
这门研究生程度课程是对微分方程数值解法的应用和理论的高级导论。
This graduate-level course is an advanced introduction to applications and theory of numerical methods for solution of differential equations.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
In this paper, the numerical solution of differential equation is employed to establish the forecasting model of the time series.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation.
对于整数阶常微分方程的数值解法，如欧拉法、线性多步法等都已有较完善的理论。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。文中用实例给以说明。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation. A practical example is also given.
采用微分方程高精度数值解法得到了随时间变化的摆角、摆长、摆长变化率以及运动轨迹的数值精确解。
The accurate numerical solutions of the angular displacement, the length and its rate, and the path are given with the numerical method.
本文针对输水廊道的水流特点，应用动量定理建立起输水廊道沿程增量流微分方程，并给出一种数值解法。
In accordance with flow characteristics of the catch-water channel, linear increment flow differential equation has been obtained by momentum law, and a numerical method has been made.
本文利用微分方程的数值解法对时间序列建模预测作了新的尝试。文中给以实例说明。
In this paper, the numerical solution of differential equation is employed to establish the forecasting model of the time series. A practical example is solved for illustrating the proposed approach.
采用微分方程的解析解法和数值解法相结合的思路建立了中厚板热轧过程温度场、变形场和轧制力的综合求解模型。
A combined analytic and numerical method for predicting the temperature, deformation and rolling pressure for plate hot rolling was established.
对二维发汗控制方程建立了直线解法，可用任何解常微分方程组的数值方法求解。
In this paper, line methods for two dimension transpiration control equations are created, and new equations may be solved in terms of numerical methods for system of ordinary differential equations.
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组，进行了大量的数值试验，证实数值解是收敛的，也是稳定的。
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.
对高振荡微分方程给出一种好的数值解法是一件非常困难的事情。
It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.
对高振荡微分方程给出一种好的数值解法是一件非常困难的事情。
It is very difficult to give a good numerical method for highly-oscillatory ordinary differential equations.
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