查询词典 structure equations

In the modeling of growth macroeconomic rational expectations , using the method of quadratic optimal dynamic programming, the steady state equations of Riccati equations under normal conditions is discussed, which makes a firm basis for the modeling of macroeconomic rational expectations .

针对采用二次最优动态规划建立的宏观增长经济合理预期模型，探讨了Riccati递推方程的稳态方程求取问题，推导出了一般情况下的Riccati稳态方程，为建立合理预期数量经济模型奠定了基础。

Now the scientific workers can evaluate them by Group contribution methods,some equations using other normal properties and some equations using the existed equation for other properties.

现有的估算方法主要分为基团贡献法，与某些常用物性相关联的经验或半经验估算式和基于某些求取其它物性的方程的经验或半经验估算式等。

For the LS problem, the method of normal equations needs less computation but its computed solution has poor accuracy. If QR factorization is used, more accurate solution can be got. However, its computation is nearly as twice as the method of normal equations.

对于线性最小二乘问题，混合方法的提出是企图在法方程法与QR分解方法之间取得某种平衡，希望能够节省计算量又同时保持计算解达到较高精度，但后者在理论上并未得到证明。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

By adapting the existed numerical methods for ordinary and delay differential equations, and matching certain suitable numerical quadrature formulas, Rosenbrock methods are constructed for delay integro-differential equations, the stability criteria of the methods are derived.

通过改造现有常及离散型延迟微分方程的数值方法，并匹配以适当数值求积公式，构造了求解时滞积分微分方程的Rosenbrock方法，导出了其稳定性准则。

In this paper,the method of interpolation for the numerical solution of tridiagonal system of linear equations is popularized,and another method of interpolation for quasi-tridiagonal system of linear equations is proposed.

文章将求解三对角线性方程组数值解的插值法进行推广，得到一种求解拟三对角方程组的插值算法。

The last one is to study the relation between the discrect process and the iteration theory for some derivative equations(for example,equations with conservation law) and to make benefit analysis of methods.

结合具体问题的数值求解，探求迭代理论和实际离散方法的有机结合，研究算法的效益分析。

This paper is composed of three chapters, which respectively discusses the following impulsive delay difference equations with discrete variables and continuous variables:In chapter 1, we investigate the oscillation and nonoscillation of equation and some sufficient conditions for oscillation and nonoscillation are obtained. Consequently we extend these results to the difference equations with several delays and with nonlinear impulsive perturbations and with variable delays respectively.

本篇论文由三章组成，分别讨论下面四类具离散变量和连续变量的脉冲差分方程这里p≥0，Q＞0，当n∈N(0)时；p∈C(-1，∞)，R~+，Q∈C

The results show that the equations have benefit to the deduction of the pantograph's mechanical differential equations.

研究结果表明：利用升角与升弓高之间的关系，可简化受电弓运动微分方程的推导；应用所建立的力学模型、实测数据以及简化公式可更准确地分析和计算弓网系统的力学行为。

This article bases on the knowledge of ordinary differential equation, mathematical and physical equations and equation of reactive pervasion. It researches the blow-up critical exponents of heat conduction type which is parabolic equations with nonlinear boundary constraints.

本篇论文以常微分方程与数学物理方程，反应扩散方程的知识为理论基础，讨论了热传导问题的临界指数问题，该问题是一个带齐次边界条件的非线性抛物型问题。

The father that if work,mad father, love annoys, disposition is too indrawn the be short ofing that the father of Mu Ne, resign oneself to adversity causes father easily to love is broken; Communicate time effectively between father and son, Mu Zizhi to be less than a hour on average to wait a moment every week, it is the cause that causes the child to become addiction.

如工作狂的父亲、爱愤怒的父亲、性格过于内向木讷、逆来顺受的父亲都易造成父爱的缺失；父子、母子之间的有效沟通时间每周平均小于一小时等等，都是造成孩子成瘾的原因。

These are vandal proof and they come with a locking mechanism.

这是野蛮的证据，他们来到了锁机制。