Several lectures are devoted to solving non-linear equations, including root finding.
另外也有几堂课用来求解非线性方程式，包括求根；
Approximate solutions for the coupled non-linear equations are obtained for the velocity and the temperature.
求得了速度和温度的耦合非线性方程组的近似解。
Kepler s equations can be solved with the gradual approach, which can be further extended to the solution of the non-linear equations.
求解开普勒方程可用逐次逼近法，这种方法还可推广到非线性方程的求解问题中。
Process solving helicopter structural bearing capacity in iteration method and solution of non-linear equations are present in the paper.
介绍用迭代方法求解直升机结构承载能力的过程，求解非线性方程。
It keeps the method of calculation rolling pieces and pass design respective - ly from making error by using method of reducing non-linear equations.
采用求解非线性方程组的方法设计孔型尺寸，避免了因轧件尺寸和孔型尺寸分别计算所造成的误差。
The difficulty in solving this system of non-linear equations is the choice of an initial value, close enough to the true solution to assure convergence.
求解时遇到的主要困难是选择一组足够靠近真解的初值，以保证迭代过程的收敛。
Traverses the BP arithmetic to solve non-linear equations in one variable, presents and proves the convergence theorem of the arithmetic, shows the application example.
遍历BP算法来解决非线性方程的一个变量，提出并证明了该算法的收敛性定理，给出了应用示例。
Non-linear equations are(constructed) with the restriction of the satellite ground trace to resolve the unknown semi-axis and inclination, but it's too complicated to be resolved directly.
以轨道半径和轨道倾角为未知量依据星下点轨迹要求条件构建了非线性方程组，但直接求解过于复杂，采取迭代的方法解决。
This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
The Newton-iterative method is adopted in order to acquire the keys of the equilibrium equations because the equations are non-linear differential equations.
由于得到的简化微分方程组为非线性微分方程组，因此本文选用牛顿迭代法来在求解此微分方程组。
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。
The dynamic equation of motion chain is a group of high non-linear differential equations, the solution is difficulty.
锚泊线的运动方程是一组高非线性的偏微分方程组，求解困难。
First of all, a non-linear Schrodinger equation can be converted into homogeneous equations, and then the precise integration method can be used to solve these problems.
首先将非线性薛定谔方程变形为齐次方程的形式，然后用精细积分法模拟其随时间的演化过程。
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。
According to the testing results, four kinds of non-linear creep equations were set up for describing non-linear creep characteristic of frozen clay.
根据试验结果，提出四种形式的非线性蠕变方程，来描述冻粘土的非线性蠕变特性。
In this paper, the non-linear differential equations of aircraft motion are simplified by the condition of steady spin.
按稳定尾旋的条件对飞机运动方程组作了简化。
A clear form of the equations of motion of systems with linear non -holonomic constraints of second order is presented here. And the use of the field method is extended to these systems.
首先给出二阶线性非完整系统动力学方程的显形式，然后将场方法应用于这类系统方程的积分。
Newton Raphson method is used to solve the non linear equations piloted in displacements or in arc length.
非线性方程采用位移引导或弧长引导的牛顿-拉夫森增量迭代法求解。
Uses a reduced-Newton algorithm with a weak line search to solve a set of non-linear algebraic equations.
使用简化的牛顿计算方法和弱队列搜索来解决一系列的非线性代数方程。
Time Domain Simulation USES the dynamic and algebraic equations which are definitely non-linear. This method can take all the non-linear proprieties of the power system into consideration.
时域仿真法利用系统非线性微分代数方程为数学模型，可以充分考虑系统的非线性性质。
By means of the comparison theorem, and the oscillation of some non-linear partial difference equations is discussed and some concise conditions and authenticity are given.
给出系统振动的比较定理，利用比较定理讨论了一类非线性偏差分方程的振动性，给出简单的判别条件及证明。
With the local approximation near the rational surfaces, the analytical expressions of the evolution of non-linear tearing modes are derived from MHD equations;
本文在有理面附近的局域近似下，从MHD方程出发，求出了非线性撕裂模的时间演化的解析结果。
A to be determined coefficient method for finding dual operators of hierarchies of non-linear evolution equations is proposed.
本文提出了寻求非线性演化方程的对偶算子的待定系数法。
In this paper, we investigate growth problems of solutions of a type of homogeneous and non-homogeneous higher order linear differential equations with entire coefficients of iterated order.
本文研究一类高阶线性齐次与非齐次迭代级整函数系数微分方程解的增长性问题。
The exact solutions of a set of non-linear differential equations with limiting conditions describing the anharmonic vibration of a one-dimensional lattice have been obtained.
本文列出了一维点阵非谐振动的非线性微分方程组，并求出了这组方程在相应边值条件下的解析解。
Based on theory of hyperbolic linear partial differential operator, the initial value problem of a kind of quasi-linear hyperbolic equations with non-zero initial values was introduced and studied.
基于双曲型线性偏微分算子理论，引入并研究了具有非零初始值的拟线性双曲型方程的定解问题。
There are many methods to solving interior economical operation of the hydroelectric power such as equal incremental equations method, dynamic programming and non-linear programming.
求解水电厂厂内经济运行的方法很多，如等微增率法、非线性规划和动态规划法等。
There are many methods to solving interior economical operation of the hydroelectric power such as equal incremental equations method, dynamic programming and non-linear programming.
求解水电厂厂内经济运行的方法很多，如等微增率法、非线性规划和动态规划法等。
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