Firstly, the contact theory and the method of solving nonlinear equations are summarized.
首先，概述有限元接触理论及求解非线性方程的方法。
This paper presents a very efficient method, referred to as the aggregate function method, for solving nonlinear equations.
本文给出了求解非线性方程组问题的一种有效方法，称为凝聚函数法。
The geometric dichotomy method is easy and applicable, avoiding solving nonlinear equations with high dimensions and high orders.
几何二分法简单易行，避免求解高维高次非线性方程组。
Therefore, this paper introduces a linearized function in light of the flow conditions of natural gas and obtains an analytic solution through solving nonlinear equations.
对此，本文根据天然气流动情况，引入一线性化函数，通过求解非线性方程得到了解析解。
This thesis includes three chapters, which mainly discusses the iterative algorithms for solving nonlinear equations problems and nonlinear variational inequality problems.
本文主要讨论求解非线性方程组问题与变分不等式问题的迭代算法。全文共分三章。
In this paper we present a new iteration method with high accuracy for solving nonlinear equations, this method has not only 5-order convergence but also avoids the operation of derivatives.
给出了一种新的求解非线性方程的迭代方法，该算法至少是5阶收敛且不用计算导数，具有收敛速度快，计算精度高的特点。
The high capacity of fast solving equations of the computer make it possible to solve nonlinear equations within a certain precision.
因为其借助计算机快速求解方程的优点，使得对非线性方程组在一定精度内的求解成为可能。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
A nonlinear system parameters identification problem is investigated in this paper by introducing a relaxation method used for solving the linear equations of the system.
研究了非线性参数系统模型的识别问题，通过引入求解线性方程组的松驰法思想，构造了一类新的迭代识别算法。
It indicates that the method is also suitable for solving other nonlinear evolution equations.
这种方法也同样适用于求解其它非线性波动方程。
This method should be helpful in solving difficult nonlinear soliton equations.
该方法为求解难度大的非线性孤子方程提供借鉴。
This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
Numerical experiments show that RTFHM is efficient for solving linear and nonlinear non-stiff delay differential equations.
数值试验结果表明，RTFHM对线性和非线性的非刚性延迟微分方程都是有效的。
But if there have some loops or cut sets between these fault branches, solving a set of nonlinear equations is also necessary, though the number of variables is much decreased.
但若故障支路形成回路或割集时，则仍需要解一组非线性方程，不过它的变量个数已大大减少。
By solving the two time-scale and two fluid equations, a set of nonlinear equations has been obtained by which the behavior of self-generated magnetic field can be described.
通过求解双时标双流体方程，可以得到一组相互耦合的非线性方程。
In order to guarantee the convergence and stability in solving nonlinear algebraic equations, an incremental iterative algorithm was put forward according to the load characteristic.
为了保证非线性代数方程组求解的收敛性和稳定性，该文根据微梁的受力特点提出了一种增量迭代的算法。
The set of RMHD equations is solved with use of split tricks to avoid possible numerical instabilities due to much coupling in solving the set of highly nonlinear equations.
动量方程、三温方程组采用分裂法求解，以克服强耦合非线性可能引起的数值不稳定性。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
By solving the joint equations, the probability characteristic of evolution of the nonlinear configuration state and the node force could be evaluated.
求解这一方程可分别得到非线性构形状态演化和结点力随机演化的概率结构。
In solving the nonlinear bending equations, a modified power series method is proposed.
在求解非线性弯曲方程时，我们提出了修正幂级数方法。
Bossed on an embedding method, a class of implicit iterative methods is established for solving nonlinear system of equations, and it includes the work of noted scholar m.
针对非线性方程组数值求解问题，利用嵌入法思想给出了一类隐式迭代法，这类迭代法包含了知名学者M。
Bossed on an embedding method, a class of implicit iterative methods is established for solving nonlinear system of equations, and it includes the work of noted scholar M. k.
针对非线性方程组数值求解问题，利用嵌入法思想给出了一类隐式迭代法，这类迭代法包含了知名学者M。K。
An all-purpose algorithm, Monte Carlo algorithm, for solving linear and nonlinear system of equations was presented in this paper.
提出一种求解线性和非线性方程组的通用算法——蒙特卡罗算法。
These filters may boil down to solving nonlinear diffusion equations with initial values being input images.
这些非线性图像滤波大多源于求解初始值为输入图像的非线性扩散方程。
The ABS class of algorithms is one of projection algorithms for solving systems of linear and nonlinear equations.
ABS算法是一类求解线性与非线性方程组的投影算法。
An approximate Gauss Newton based BFGS method for solving symmetric nonlinear equations is presented.
给出一个解非线性对称方程组问题的近似高斯·牛顿基础bfgs方法。
Newton's method is a classical algorithm with a high order of convergence for solving systems of nonlinear equations.
牛顿法是求解非线性方程组的经典的高阶算法。
The new proposed method avoided solving the nonlinear equations and decreased the computation load. The experiment verified its usefulness and efficiency.
该方法避免了非线性方程求解，降低了计算量，应用结果表明其有效性。
In this paper, the authors present mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
In this paper, the authors present mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.
本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。
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