查询词典 nonlinear equation

The nonlinear equation of β obtained is subsequently approximated by a cubic equation from which β is solved directly.

利用这一极值原理，得到一个关于β的非线性方程，近似简化后成三次方程，直接求解。

Through the numerical computation and comparison with the exact solutions of one dimensional linear convection equation and nonlinear equation, accuracy of the first order upwind scheme is analyzed in detail.

摘 要：通过对一维线性对流方程和一维非线性对流方程的数值求解，对一阶迎风差分格式的精度作了较详细的分析。

Based on the given results of second order boundary value problem, the existence of solutions of nonlinear boundary value problem of Volterra type integro-differential nonlinear equation was established. The uniquess of solution was obtained by applying disproof method.

以二阶边值问题的已知结果为基础，建立了Volterra型积分微分非线性边值问题的解的存在性，再利用反证法获得了解的惟一性。

The nonlinear equation of heat conduction is transformed into a Laplace′s equation by applying the Kirchhoff transformation ,and an analytic approximate solution of the equation is derived.

当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。

Waxman-Smits equation is an evolution of Acrhie equation for shaly sands, and it is a nonlinear equation.

Waxman-Smits方程是阿尔奇方程在泥质砂岩地层中的推广，W-S方程为非线性方程。

We applied the Gross-Pitaevskii equation for BEC condensate in 1D optical lattice. For the character of the periodic potential from optical lattice, the Bloch function is used to expand our order parameter to get a 1D nonlinear equation of the envelop function.

我们应用Gross-Pitaevskii equation 来描述在一维光晶格中的玻色-爱因斯坦疑聚态，基於光晶格位能的周期性，我们用Bloch function 来展开秩序参数可得到封包函数的一维非线性方程式。

This paper establishes the model of OCS according to the cable structure and creates nonlinear equation of finite elements method and solves the problem of the counts of drop length.This paper indicates that nonlinear method of finite elements is one of powerful tools of OCS analysis.

本文算例表明，非线性有限元方法是对接触悬挂进行分析的有力工具，只要建立接触悬挂的刚度矩阵和质量矩阵，就可以对接触网的吊弦长度进行准确的计算，这是传统的计算方法难以做到的。

Supposed stochastic variations are perturbed in a small range, we can get a nonlinear equation of these stochastic variations by using a Taylor series or a Neumann series expansion of the system matrix. The application of perturbation techniques translates this nonlinear equation into a pair of constant linear recursive equations. Then we have written a paper "Stochastic Finite Element Method for Interconnect Including Variational Analysis" which has been contributed to 11th Asia and South Pacific Design Automation Conference.

本文所取得的主要成果就是提出了一种新的算法，即用随机有限元来分析变化的互连线，将方程按随机变量泰勒展开或者纽曼展开，从而化无限维为有限维；应用matlab进行了算法仿真，并将结果与传统Monte-Carlo与GETA进行了比较；最后写了一篇文章《Stochastic Finite Element Method for Interconnect Including Variational Analysis》，已投第11届亚洲和南太平洋设计自动化会议。

Chapter 3, we study the stability of approximate solutions of nonlinear equation problems(the continuous function is defined in the linear normed space).We prove that most of approximate solutions of nonlinear equation problems are stable; all accurate solutions are the essential points of the set of approximate solution; the connected component which contains the accurate solution is the essential component of the set of approximate solution; especially the number of essential components is finite.

第三章，研究定义在线性赋范空间上的非线性方程问题近似解及其解集的稳定性，得到线性赋范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的；精确解是近似解集的本质解；包含精确解的近似解集的连通区是本质连通区；包含精确解的近似解集的连通区为有限个。

Then the element equation and unit tangent rigid matrix are deducted on the basis of description of UL coordiate and principle of imaginary, the balance equation and overall tangent rigid matrix are integrated via introduction of terminal condition, and the nonlinear equation group is finally parsed on the basis of combination method of Newton-Raphson and increment.

接着基于U.L 坐标描述，从虚功原理出发推导出单元的平衡方程和单元切线刚度矩阵，引入边界处理条件集成了整体结构的平衡方程和总切线刚度矩阵，并采用Newton—Raphson 法和增量法相结合的方法求解非线性方程组。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。