本文给出了延迟微分方程数值解的稳定性分析。
This paper deals with the stability analysis of numerical methods for the solution of delay differential equations.
区域分解算法是在并行机上求解偏微分方程数值解的一种方法。
The domain decomposition is a numerically approximating solution to partial differential equations on parallel computers.
第三章讨论的是基于矩阵样条函数的二阶矩阵微分方程数值解。
Chapter 3: Introduce the numerical solution of the second order matrix differential using matrix spline function.
本文讨论的是矩阵样条函数在矩阵微分方程数值解中的一些应用。
This article discusses some applications of the matrix differential equations used by matrix spline function.
术文研究泛函数微分方程数值解的混合算法，给出了收敛性定理及数值例子。
In this pager hybrid methods of functional differential equations are investigated. Some convergence theorems are given and numerical example are presented.
我们知道有限元方法以及辛算法和多辛算法是解偏微分方程数值解的重要方法。
We all know that both finite element method (FEM), symplectic algorithm and multi-symplectic algorithm are powerful tools to solve partial differential equations numerically.
最后通过与精确解之间的数值误差和误差图像曲线的比较，验证了所提方法在矩阵微分方程数值解应用中的可行性和有效性。
Finally through a comparison of numerical error and error images, proves that the feasibility and effectiveness of the methods for the numerical solution of the matrix difference equations.
这类方程组常在主要与用离散数值方法解微分方程有关的实际应用中提出来。
This kind of systems frequently arises in practical applications mainly related to solving differential equations by discrete numerical methods.
依据光子传输的扩散性，用有限元法导出光子传输扩散偏微分方程的数值解。
According to the diffusibility of the photons transmission, numerical solution of photon transmission partial differential equation was deduced with finite element.
最后给出了一些数值例子，证实了这个分数阶线性多步法是解分数阶常微分方程的一个有效方法。
Finally, some numerical examples are provided to show that the fractional order linear multiple step method for solving the fractional order ordinary differential equation is an effective method.
通过对正挤压工序的理论分析得到了数值解，其精确地满足金属流动描述的微分方程。
In this paper, the numerical solution is got through analyzing the direct extrusion procedure theoretically, that can describe the differential equation of metal flowing accurately.
利用数值法，解cfr P板嵌贴自由端开始滑移时的粘结微分方程，求得混凝土表层嵌贴CF R P板极限粘结承载力。
The ultimate bond strengths of NSM CFRP strips to concrete have been obtained based on a numerical solution of bond differential equation.
采用微分方程高精度数值解法得到了随时间变化的摆角、摆长、摆长变化率以及运动轨迹的数值精确解。
The accurate numerical solutions of the angular displacement, the length and its rate, and the path are given with the numerical method.
本文研究了两类具体含逐段常变量微分方程的伪概周期解的存在性问题和一类一阶微分方程组的数值解。
In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated.
用微分方程分支理论和计算机数值模拟方法研究广义CH方程的周期波解。
The periodic wave solutions of the generalized CH equation are investigated by using bifurcation theory of differential equations and numerical simulations.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
用层流边界层方程，导出幂律流体轴对称层流自由射流的常微分方程，并给出其方程的数值解。
The ordinary differential equation of round laminar jet of power-law fluid is derived, and the solution of this equation by numerical integration is obtained.
第二节介绍用三次矩阵样条函数方法逼近一阶矩阵非线性微分方程的数值解。
Section II describes the numerical solution of first-order matrix differential non-linear equation using the cubic matrix spline function.
采用有限元法求解梁截面导热偏微分方程，应用pde工具箱得到数值解。
The partial differential equation (PDE) for heat conduction was solved with the finite element method and the PDE toolbox was adopted to obtain the numerical simulation.
应用谐波平衡法对系统三阶非线性微分方程组解析分析，与数值解比较验证了解析解的正确性和有效性。
The method of harmonic balance is applied to study the non-linear dynamic response of the third-order nonlinear partial differentiation system.
本文采用有限差分法求解偏微分方程(即定价模型)的数值解。
In solving partial differential equation (i. e. pricing model), the author adopted the finite difference method to get its numerical solution.
科学与工程计算中的一个最重要的内容就是求解各种各样的微分方程或方程组的数值解。
The most important content of Science and engineering calculations is to solve a wide variety of differential equations or the numerical solution of equations.
无网格法是一种数值解偏微分方程(PDE)的功能强大的工具，它有当地的技术和元素的特点。
Meshless method is one kind of powerful tool for numerical solutions of partial differential equations (PDEs), and it has local technique and element-free characteristics.
它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。
It is a very efficient tool to numerical calculate partial differential equations on any shape of domain.
倒向随机微分方程从数学上描述了一类投资决策过程，这使得它的数值解计算成为大家关注的焦点之一。
The backward stochastic differential equations (BSDEs) can describe a class of investment decision-making process problems, which leads its numerical method to be focused.
两种模型正合微分方程的解析解与数值解表示出十分的吻合。
The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equations.
利用染色函数解法求解膛内弹上气室气流的一阶非线性分段微分方程组，进行了大量的数值试验，证实数值解是收敛的，也是稳定的。
The numerical solution of chromosome-function was applied for a lot of first order differential equations for the chamber on the projectile in bore of a gun.
自适应网格法是80年代兴起的通过求解椭圆型方程的边值问题来数值生成网格的一种新方法。它是在任意形状的区域上求偏微分方程的数值解的一种非常有效的工具。
Adaptive mesh method which raises in 80's is a new method to numerical generate grid by solving a boundary value problem of elliptic equation.
两种模型正合微分方程的解析解与数值解表示出十分的吻合。
The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equation…
两种模型正合微分方程的解析解与数值解表示出十分的吻合。
The analytical solutions for these reactor models are shown to agree very well with the numerical solutions to the exact differential equation…
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