Numerical differential method and energy balance approach are applied respectively to recover the geopotential coefficients until 50 degree based on the simulated observation datum of CHAMP.
基于模拟的CHAMP卫星观测数据，分别用数值微分法和能量守恒法恢复50阶次的重力位系数。
Three methods for gravity field recovery are mainly studied from the views of observation equation, (1) numerical differential method, (2) energy balance approach, (3) numerical integration method.
从建立观测方程的角度来说，主要研究了三种恢复地球重力场的方法：(1)数值微分法，(2)能量守恒法，(3)数值积分法。
Based on the differential scheme, a numerical method of pricing compound options is presented.
提供一种基于有限差分格式的数值方法为复合期权定价。
Based on the differential scheme, presents a numerical method of pricing for American put options.
提供一种基于有限差分格式的数值方法为美式看跌期权定价。
In this paper a new method of modeling forecasting is given for the time series by using the numerical solution of differential equation.
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。
A high accuracy algorithm for numerical solution of nonlinear partial differential equation (PDE) is suggested combining wavelet collocation method with generalized energy integral.
将小波配置法与广义能量积分相结合，提出了一种求解非线性偏微分方程的高精度数值方法。
Spectral method is one of important numerical method for solving differential equations.
谱方法是微分方程数值求解的重要方法之一。
There are two methods according to equation form in electromagnetic scattering numerical analysis: one is integral equation method, the other is differential equation method.
电磁散射数值分析方法根据方程形式可分为两种：一种是积分方程法，另一种是微分方程法。
Based on gear method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.
本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。
Study in 23 diseases of pigeon by applying the theory and method of numerical diagnosis was carried out and 18 differential diagnostic CARDS were established.
应用数值诊断理论和方法对23种鸽病进行研究，建立了18张鉴别诊断卡。
Locally implicit finite element method is a satisfactory numerical method to solve non-linear partial differential equations for its unconditional stability and its high rate of convergence.
认为局部隐式有限元法是一种绝对稳定的方法，且具有快速收敛的性质，是求解非线性偏微分方程的一种有效的数值算法。
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.
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。
Training neural networks by using the linear multi-step method is studied, which is a classical numerical method for differential dynamics.
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。
Meshless method is one kind of powerful tool for numerical solutions of partial differential equations (PDEs), and it has local technique and element-free characteristics.
无网格法是一种数值解偏微分方程(PDE)的功能强大的工具，它有当地的技术和元素的特点。
A new numerical method, analytical discrete method, for solving ordinary differential equations is proposed.
提出求解常微分方程的一种新的数值方法——解析离散法。
Time precision integration method is a mature numerical algorithm to solve the ordinary differential equation.
精细积分法是求解常微分方程的一种成熟的数值算法。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
As the same as finite element method, the finite volume method is also a numerical method for solving partial differential equations.
有限体积法现在已经成为和有限元方法并驾齐驱的一种求解偏微分方程的数值方法。
Electromagnetic scattering numerical analysis generally contains differential equation method and integral equation method.
电磁散射数值分析一般分为微分方程法和积分方程法。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Numerical solution of differential equations method, Includes the modulation, demodulation, signal to noise ratio calculation, it draws on principal component analysis algorithm (PCA).
微分方程组数值解方法，包括调制，解调，信噪比计算，借鉴了主成分分析算法(PCA)。
Precise integration method for a kind of non-homogeneous linear ordinary differential equations is presented. This method can give precise numerical results approaching the exact solution.
提出了一种求解一类非齐次线性常微分方程的精细积分方法，通过该方法可以得到逼近计算机精度的结果。
Numerical method of integral order ordinary differential equation, for example, Euler method, linear multiple step method, and so on, has had quite perfect theories.
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。
The examples show that this method is convenient and reliable. Numerical solutions are close to real solutions when differential segments are small enough.
算例表明，该方法方便可靠，当有限差分段划分得足够小时，可使数值解接近于真实解。
The generalized kink waves of the short pulse equation were studied by the qualitative theory of ordinary differential equations and numerical simulation method.
用微分方程定性理论结合数值模拟方法研究了窄脉冲方程的广义扭结波。
The partial differential equation (PDE) for heat conduction was solved with the finite element method and the PDE toolbox was adopted to obtain the numerical simulation.
采用有限元法求解梁截面导热偏微分方程，应用pde工具箱得到数值解。
The numerical calculation shows that it is effective to use the method in the control of a high dimensional differential dynamical system.
计算结果表明，该方法对高维微分动力系统中的混沌控制是有效的。
In solving partial differential equation (i. e. pricing model), the author adopted the finite difference method to get its numerical solution.
本文采用有限差分法求解偏微分方程(即定价模型)的数值解。
Differential quadrature element method is an alternative numerical solution techniques.
微分求积单元法是一种可供选择的、能优越的数值计算方法。
Upon the basic electromagnetic theory, wave propagation equation on an axis symmetrical case is derived. Numerical simulation method for solving the partial differential wave equation is presented.
从基本电磁理论出发，推导轴对称条件下电磁波的波动方程，给出求解此类波动方程的数值仿真方法。
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