证明了有限元离散解对任意有限元空间的组合是稳定的。
The discrete solution is stable for any combination of finite element spaces.
由离散解得到的非对称线性方程组，对于QPNS采用块三对角法，对于FNS采用GMRES算法。
The nonsymmetric and linear equations from the discrete solution are solved by using block tridiagonal systems for the QPNS equations and by GMRES algorithm for the FNS equations.
在基本粒子群算法的基础上，引入了惯性因子，并对离散变量进行了处理，直接构造了离散解值集和离散速度值集。
Based on the PSO, we introduce the inertia factor and construct the discrete position set and the discrete speed set, express the discrete variables accurately.
采用边界离散方法对具有辐射换热边界的平面非规则域内稳态温度场进行了分析，得到了级数形式的解。
The steady temperature field in irregular plane domain with radiation heat exchange boundary is analyzed by the boundary discrete method, and the solution in form of series is obtained.
在此提出了离散投入产出优化模型，给出求解该模型的方法和状态反馈形式的最优控制解。
An optimum model of discrete input-output is established in this paper. The method of solving the model and the optimal controls of state feedback are given.
第二章主要是研究某些类型的线性或非线性的带有离散时滞的偏差分方程解的振动性的判别法。
In the second part, we mainly consider oscillations of solution of some linear and nonlinear partial difference equations with discrete variables and delays.
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.
利用差分法可以求出自由扭转截面内各离散点应力函数的数值解。
Using difference method, numerical solutions of stress function of the discrete points can be obtained.
但该模型具有非线性、混合离散变量等特点，用常规的优化算法不能求出其最优解。
However, this model is nonlinearity and has mixed discrete variables, and can't be solved by normal algorithm.
对F1型非线性离散系统进行了分析研究，求出了该类系统零输入响应和非零输入响应的闭合型式解。
In this paper, F1 nonlinear discrete system is analyzed and studied, the enclosed solutions of zero input response and nonzero input response are obtained.
解哈密尔顿方程的离散算法就是辛算法。
The discrete algorithm to solving Hamiltonian is just called sylleptic algorithm.
应用连续神经网络来解高频率离散问题，并采用最佳机票超额预定作为具体应用实例。
The paper aims at finding an alternation to apply the hopfield continuous network in the high rate discrete problems, which take an optimal overbooking scheme of airline as example.
用离散的方法可获数值解。
离散型最小二乘法是解微分方程的加权残值法的一种。
The discrete least square method is one of methods of weighted residual (MWR) for Solving differential equations.
最后由积分方程的离散化方程组有非平凡解的条件，求得固有频率。
Finally, natural frequency is obtained by the existence condition of nontrivial solution of the discrete algebraic equations derived from the integral equations.
本文首先通过实证研究给出了单期离散的TSF模型的有效边界和最优解。
The paper, first of all, studies the discrete Single-period TSF Model, and the efficient frontier and the optimal solution are given by evidence.
本文研究了一类二元离散人工神经网络模型的解的收敛性及周期解的存在性等动力学特征。
This thesis has studied the dynamic features of a class of the discrete-time neural network model of two neurons, such as the convergence and periodicity and etc.
为了对直埋管道保温层及其土壤邻域的温度场进行较精确的分析，采用保形映射、分离变量和边界离散法对地下直埋管道的温度场进行分析，得到了级数形式的解。
The temperature field around a straight buried pipe was analyzed using conformal mapping, separation of variables and boundary discretization. A series solution was obtained for the temperature field.
针对由系统噪声彼此相关的多个子系统构成的一类线性离散时间系统，本文提出了一个解耦滤波算法。
A decoupling algorithm is proposed in this paper to deal with the filtering problem of a class of linear discrete-time systems which consist of subsystems with correlated system noise.
本文首先利用离散对数和分子因解问题提出了许多口令认证方案。其次建立并分析了三个新型数字签名方案。
In this paper, many password authentication schemes are proposed based on both the discrete problem and factorisation problem. In addition, three new signature schemes are presented and investigated.
针对非线性离散动态大系统最优控制问题，在二维系统理论的基础上，对一种基于模型求解实际问题最优解的递阶算法作了分析。
Based on two -dimensional system theory, an analysis of a hierarchical optimal control algorithm for discrete nonlinear large - scale system is made.
首先分析总结了线性离散变系数奇异系统可解性及其广义状态解的一般概念。
First, the general notion of solvability and generalized state solutions for linear discrete coefficient_vary singular systems are analyzed.
本文研究了有限离散扰动系统的鲁棒干扰解耦问题（RDDPD）。
The robust disturbance decoupling problem of the discrete perturbation systems (RDDPD) is studied.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
采用时间有限差分离散化方法求解超空泡流积分方程，得到了问题的数值解。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
针对多变量非线性离散时间系统设计多模型神经网络解耦控制器。
A multiple models neural network decoupling controller is designed to control the multivariable nonlinear discrete time system.
采用随机键，将连续的粒子位置向量转化为离散的解向量，并通过提出相对最短距离法来评价解集的优劣。
The random key was adopted to change from continuous particle position vectors to discrete solution vectors. And the method of relatively minimum distance was proposed to evaluate the Pareto muster.
利用离散杜氏变换，给出线性离散系统零状态响应计算式，并可用以解线性差分方程；
With the aid of discrete Du's Transformation, we can solve the zero-state response of a discrete-time system usually described by a linear difference equation.
研究了含未知输入的广义离散系统的输入解耦观测器设计问题。
The problem of input decoupled observer design for singular discrete-time systems with unknown inputs was considered.
研究了含未知输入的广义离散系统的输入解耦观测器设计问题。
The problem of input decoupled observer design for singular discrete-time systems with unknown inputs was considered.
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