查询词典 nonlinear equation

In this paper, the method of Lyapunov function is used to discuss the stability of the solution of a kind of third order quasilinear differential equation with two nonlinear terms.

应用Lyapunov函数方法讨论一类含两个非线性项的三阶拟线性微分方程解的稳定性，得到了此类方程解的稳定性的若干新结果，同时推广了作者已有的结果。

The theory of multiple scales method was used to solve nonlinear differential equations of gear systems and the frequency response equation was obtained.

介绍了用于求解齿轮系统非线性动力学微分方程的多尺度方法的原理，并推导了频率响应方程。

To compute the solution to the nonlinear equation of pressure in the Riemann problem for the pressure grdient equations, the Godunov scheme gives a reasonable approximate value for the exact solution. By using the Newton-Ruphson iteration method and some necessary computation, we get the inter-cell numerical flux directly.

为求压差方程黎曼问题中关于压力的非线性方程的解，Godunov格式给出一个合理的初始近似值，利用Newton迭代法和一些必要的计算得到格式中的数值流。

We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control.

我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

We present a simple new algorithm for the inverse Laplace transform. The applications of this new algorithm to the signal processing, the Fuoss-Kirkwood formulas for relaxation spectra, the Abel integral equation, the Fermi and Bose integral equation are also given.

提出了处理Laplace逆变换的一种简单的新算法，以及这种新算法在信号处理、Fuoss-Kirkwood弛豫谱方程、Abel积分方程、Fermi型和Bose型积分方程等方面的应用。

Based on the sliding response theory of the free-standing equipment, the differential equation of motion of the free-standing equipment under seismic excitations is presented. The equation is solved by Runge-Kutta algorithm, therefore the absolute acceleration, relative velocity and relative displacement of the equipment can be obtained. The sequential coulomb friction model is applied to the analysis.

以前人研究建立的浮放设备滑移反应分析理论为基础，给出了浮放设备在水平和竖向地震输入下滑移反应运动微分方程，选取连续型的库仑摩擦力模型，采用Runge-Kutta法求解浮放设备地震滑移反应运动微分方程，可以得到浮放设备在地震作用下的绝对加速度、相对速度和相对位移反应时程。

Based on the Volume of Fluid Method, the wave damping absorber of the numerical wave flume for irregular waves has been investigated. Setting the Turbulence motion equation and the Renault equation as the governing equations and using the wall function technique in the near-wall region, an absorbing wave-maker is set at the left side of the flume.

本文对基于VOF方法的不规则波数值波浪水槽进行了阻尼消波研究，以湍流运动方程一雷诺方程为控制方程，在近壁区应用壁函数技术，在数值波浪水槽的左端设置了主动吸收式造波机。

To investigate the thermal protection effects of a heat sinking vest with phase-change material in high-temperature and high-humidity environment and the feasibility of numerical computation of heat transfer to the vest, based on the analysis of heat and mass transfer characteristic about the accouterments, a thermodynamic model was set up with the enthalpy method. The uniform energy equation was constructed for the whole domain, and the implicit difference equation was used in every node, the distribution of enthalpy was solved by numerical method.

为了研究相变材料降温服在高温高湿条件下的热防护性能和相变材料数值计算方法应用于降温服传热计算的可行性，在分析服装传热传质特点及计算方法的基础上，利用焓值分析法对服装中的相变材料建立传热模型，在整个区域建立统一的能量方程，在区域结点进行离散，并进行隐式求解，得到焓的分布。

Two different deductions of equation for the pH calculation of buffer solutions are compared,and a new deduction method based on proton balance equation in acid-base equilibrium is proposed.

比较了两种缓冲溶液 p H值计算公式的推导方法，从酸碱平衡的 PBE出发，提出一种新的推导方法。

You have to walk your own alk in this life.

次生中你必须走自己的路。

To start with, the thesis analyses ***ism in terms of the generic masculine words, word order and semantic derogation of women in greater detail.

论文首先从阳性词泛指，词序，词义的贬降等方面对英语中的性别歧视现象进行了详细的分析。