待定系数法

The Ritz method We set expressions of components of displacement that satisfy the boundary conditions of displacement , which contain several undetermined coefficients.

§10-3 位移变分法 10一瑞次法先设定满足位移边界条件的位移分量的表达式，其中包含若干个待定的系数，再根据极小势能原理，决定这些系数。

To solve the dynamic general equilibrium model, we linearize the model with first order Taylor expand near the steady state, then we use the method of undetermined coefficient to get the numerical solution.

针对本文设立的一般动态均衡模型，我们采用泰勒展开将其线性化，然后利用待定系数法得到数值解。

According to atom balance principle,for complicate oxidation -reduction reaction equation,based on many existing balancing methods,from the angle of unfixed equation,this paper introduces more simple balancing method which is called undetermined coefficient method,this method simplifies original results.

根据原子平衡原理，针对较为复杂氧化还原反应方程式，在众多已有的配平方法基础上，从不定方程的角度，给出了更为简捷的所谓"待定系数"配平法，从而简化了原有结

The kinematic equations of the flow of Newtonian fluid in annulus with the inner cylinder executing a planetary motion were transformed using undetermined coefficient method, and the calculation formula of pressure gradient of the flow was obtained with the given flow rate.

利用待定系数法对牛顿流体在内管做行星运动的环空中流动的运动方程进行了变换，得到了给定流量条件下牛顿流体在内管做行星运动的环空中流动的压力梯度计算公式。

Newtonian fluid; helical flow; eccentric annulus; pressure gradient; undetermined coefficient method

Newton 流体；螺旋流动；偏心环空；压力梯度；待定系数法

The "divide and conquer" strategy is used to improve the key steps of the undetermined coefficient algorithm for constructing polynomial conservation laws of nonlinear DDEs, so the calculation complexity problem caused by the dramatic increase of redundancy is solved. Furthermore, Wu\'s elimination method is applied to solve the obtained nonlinear algebraic equations thus to get a more efficient algebraic algorithm.

本文从微分方程的标度变换出发，利用"分治"策略改进了构造非线性DDE守恒律待定系数算法中的关键步骤，有效解决了因冗余项急剧增加引起的中间计算过程膨胀问题，并将吴消元法应用到非线性代数方程组的求解上，从而给出了一个更高效的代数算法。

The polynomial function bases are used to form the approximately matching function. Moreover, the discrete values of grey image is transformed to polinomial function that are exact fit at the considered pixel locations. As a result, The mathematical operations performed such as derivation, integration, and gradient evaluation also give out the polynomial functions, therefore, the system of undetermined coefficient equations is derived to be a system of linear algebraic equations.

我们把立体匹配过程看作泛函的极小化过程，因此选用变分问题近似解法的Ritz法构造数值算法，以多项式函数为基构作匹配函数的近似解，进而又利用多项式过样值点的拟合将离散的灰度图象变换为多项式函数，因此计算中所需的求导，积分，及梯度运算的结果仍然是多项式函数，最终将待定系数方程组化为线性代数方程组。

Based on Wu's elimination method and "divide-and-conquer" strategy, the undetermined coefficient method for constructing polynomial conservation laws of nonlinear differential-difference equations was improved. Furthermore, a Maple package CLawDDEs was developed to automatically derive conserved densities and associated fluxes of polynomial differential-difference equations.

基于吴消元法和"分治"策略，改进了基于标度不变性构造非线性微分差分方程多项式形式守恒律的待定系数算法，并在计算机代数系统Maple上实现了改进后的算法，其中的软件包CLawDDEs可自动推导出微分差分方程的守恒密度及连带流。

According to the characteristics of peaked soliton solution, the undetermined coefficient method for solving nonlinear wave equations for their peaked soliton solutions is submitted and by means of the method several kinds of peaked soliton solutions are obtained for five nonlinear wave equations: the Camassa-Holm, fifth -order KdV-like, generalized Ostrovsky, combined KdV-mKdV and Klein-Gordon equations.

刘煜 河南电力试验研究院，郑州 450052根据尖峰孤子解的特点，提出了一种待定系数法求非线性波方程尖峰孤子解的思路和方法，并利用该方法求解了5个非线性波方程，即CH（Camassa-Holm方程、五阶KdV-like 方程、广义Ostrovsky方程、组合KdV-mKdV方程和Klein-Gordon方程，比较简便地得到了这些方程的尖峰孤子解。

Based on a great deal of research experimentation, a new detection algorithm and flame evaluate index are presented. According to complexity of cur...

针对火焰温度场测量现有方法的复杂性，提出了利用待定系数法进行曲线拟合的新的温度场测量方法，实现了二维温度场的显示。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。