查询词典 numerical value

In this paper we study the method of interpolation by radial basis functions in H~k(k ≥ 1) and give some error estimates. By means of such interpolation with a special kind of radial basis function, we construct a basis in H~k(k ≥ 1). Combined with the Galerkin method, this theory can be applied to solve boundary value problems for elliptic partial differential equations (such as the third boundary value problem for Poisson equation and the corresponding problem for the biharmonic equation), and some numerical experiments are also given.

本文从求解偏微分方程的角度出发，在被逼近函数u属于一般的Sobolev空间H~k(k≥1)的情形，引入了一种径向基函数插值方法，并建立了相应的误差估计；再利用这种插值性质，从一类特殊径向基函数出发构造Sobolev空间的一组基，针对Poisson方程第三类边值问题和重调和方程类似边值问题，为用无网格算法求解偏微分方程边值问题建立了相应的理论，并通过算例来验证了这一算法。

As a result, it shows thatthe static or dynamic subsystem optimum alone is not equal to the system optimum. Three initial value problems met in the optimal design of flying vehicle are studied andconclusions are derived that: orthogonal test method can be adopted to decide the initial valueof static optimization problem, some mathematical techniques can be used to deal with thecostate variables of Maximum Principle and decide the initial value of the costate variable,the indirect method can be used to get the analytical solution under ideal case to guide thechoice of the initial control curve in the direct method. With some numerical examples oftrajectory optimization, it shows that all these methods are useful not only in accelerating theconvergence but also in converging to the global optimum.

针对飞行器优化设计中的三种初始值问题进行了研究，以远程弹道导弹弹道的工程优化为例说明，对于静态优化问题，采用正交试验法选取初始值，不仅可以大大加快收敛的速度，而且更有可能收敛到全局最优解；以气动力辅助变轨问题为例说明，用共态变量的一阶泰勒级数展开可以解决极大值原理中共态变量初值难于确定的问题；以二级弹道导弹的主动段弹道优化为例说明，利用间接法在理想情况下得到的解析解来指导直接法初始控制曲线的选择，将大大有利于提高直接法的收敛速度。

The numerical results indicated that the mixing time decreases about linearly with increasing current intensity. The mixing time decreases first then increases with increasing current frequency and comes up to its minimum value at 30Hz. Applying the traveling magnetic field to the uptake or downtake when the exciting current intensity is 200 A at 10 Hz, the mixing time can be shortened by 9%~17%. With the operating conditions kept unchanged, shorter mixing time is available if applying the traveling magnetic field to the uptake instead of downtake, and the time can be shortened by 18%~26% if applying the magnetic field to both the uptake and downtake. Moreover, the mixing time decreases with increasing argon blowing flowrate, and the time comes down to its minimum value if the argon blowing flowrate is 1 600 NL/min. After the moment, the mixing time increases with argon blowing flowrate.

计算结果表明：混匀时间随电流强度的增大而减小，并且近似成线性关系；混匀时间随电流频率的增加先减小后增大，并且在30Hz 时达到极小值；在励磁电流强度为200A ，频率为10Hz 的条件下，在上升管或下降管施加行波磁场混匀时间可缩短9%~17%；在相同操作条件下，在上升管处施加行波磁场混匀时间小于在下降管施加行波磁场的混匀时间；同时在上升管和下降管施加行波磁场，混匀时间可缩短18%~26%；混匀时间随吹氩量的增大而减小，在吹氩量为1600NL/min 时混匀时间达到极小值，吹氩量继续增大时，混匀时间反而增大。

Meanwhile,the computing initiatory value meets the true value and greatly improves the convergence velocity of numerical calculation.

根据天然气管道流动状态的特点，用最小平方和法建立初始流量分配的数学模型，并用C ++语言编制出适合任何复杂管网的计算程序。2 数学模型天然

It is proved that if the RungeKutta method and the linear multistep method are of order p, then the numerical Hopf bifurcation value is an approximation to the Hopf bifurcation value of the equation itself of the same order p.

证明了如果Runge-Kutta方法和线性多步法是p阶的，那么数值Hopf分支值以相同的阶数p逼近于方程本身的Hopf分支值。

By means of the numerical methods, the root of the resonance frequency equation is solved, and by means of Ansys software and the finite element method, the torsional vibration mode of the thin ring is analyzed, and the academic value and the simulant value of the resonance frequency are compared.

利用数值方法，求出了共振频率的理论值；并利用Ansys软件，对薄圆环振子进行了有限元模拟，得到了其共振频率的模拟值。

The primary studying works and characteristics:1 To summarize reinforcing theory of cement mixing pile composite foundation2 To analyze the primary mechanics characters and changing rules of cement mixing pile, based on analysis of test data both indoor and outdoor.3 To discuss siding frictional resistance, ending resistance, ultimate bearing capacity of simple mixing pile and effectiveness factor of grouped piles, loading ratio of soil between piles under cushion cap of grouped piles and stress ratio of pile and soil and so on, and use many computation method and experimentation method to ensure bearing capacity of mixing piles composite foundation.4 To point out and analyze eight sides flaws and problems of the bearing capacity calculation method of mixing pile compositefoundation which ensured by national and normative method/ formula.5 To apply test results of loading tests and a few settlement observation data, use gray theory to predicate ultimate bearing capacity of deep mixing piles, actual example demonstrate engaging between theoretical predicted value and actual value.6 To apply groovy layerwise summation method to discuss entity piles method, double foundation method, equivalent layerwise summation method and consolidation theoretical method and so on, especially by combination of engineering example, use FEM to calculate or discuss the settlement and changing rules of composite foundation.7 To discuss problems of critical length of composite foundation by combination of engineering example and numerical analysis method, and analyze the contrast of critical length between simple pile load and most area load of composite foundation, not only critical length of composite foundation is relative to modulus ratio between piles and soil, but also upside load distribution area of composite foundation.

主要的研究工作与特色为：(1)总结了水泥搅拌桩复合地基的加固原理；(2)在对室内外试验资料进行统计分析的基础上，系统分析了搅拌桩水泥土的主要力学特性及其变化规律；(3)探讨了搅拌单桩的侧摩阻力、端阻力、极限承载力及群桩效率系数、群桩承台下桩间土荷载分担比及桩土应力比等，提出用多种计算方法并结合试验方法来综合确定搅拌桩复合地基的承载力；(4)明确指出和分析了按国家有关规范的方法确定搅拌桩复合地基承载力所存在的八个方面的缺陷与问题；(5)利用过去没有加载至破坏阶段的载荷试验成果和较少的沉降观测数据，尝试了用灰色理论预测深层搅拌桩的极限承载力，实例表明理论预测值与实测值吻合较好；(6)在常规分层总和法的基础上，探讨了复合地基沉降计算的实体墩基法、双层地基法、等效作用分层总和法、固结理论法等，特别是结合工程实例，用有限元数值计算等方法计算和讨论了搅拌桩复合地基的沉降及其变化规律；(7)结合工程实例，用数值分析方法探讨了复合地基临界桩长的问题，指出和分析了单桩荷载下的临界桩长与复合地基大面积荷载下的临界桩长存在很大的差别，复合地基的临界桩长不仅与桩土模量比有关，而且与复合地基上部荷载分布面积有关。

A numerical algorithm and a numerical experiment are given. 2. The least norm, positive semidefinite and positive definite real solutions of bisymmetric matrix equations (A~TXA, XA — YAD)=(D, 0)are considered by applying the generalized singular value decomposition.

利用广义奇异值分解讨论了矩阵方程(A~T XA，XA-YAE)=(E，0)在对称次反对称矩阵集合中的解、极小范数解和在双对称矩阵集合中的解、极小范数解及正定解； 3。

Based on the idea and technical in the references[16],[17]and[26]as well as the theories of martingale,Brownian motion and stochastical orders,the expectation of present value of annuities with controlled random interests is obtained,and the upper bounds of present value function of discrete stochastic annuities with random interests in sense of convex order are derived,and the numerical characteristics of upper bounds are also obtained,furthermore,the expec

基于文[16]，[17]和[26]的思想方法以及鞅、反射Brownian运动和随机序的理论，得到了控制随机利率下连续年金现值的期望，并给出了离散随机年金现值函数在凸序意义下的上界，讨论了上界的分布函数和停止损失保费，进而得到了离散的随机年金现值的期望。

The tracer migration that the tracer concentration continuously injecting into semi-infinite sand column(initialization velocity is zero) and the pollutant continuously enter into aquifer through a discharging well that completely enter into the dive aquifer are two representative groundwater pollution problems ,Then this paper respectively sets above two decided solution problems and the union simulation problem of groundwater and solute as examples, from the question description, the mathematical model selection and determination, the parameters selecting to carry on the value computation, the read-write of attribute data , visualizes by the IDL programs, carries on the numerical simulation and the visualization post-processing to the above groundwater pollution problems, and according to the numerical solution and the solute migration curves, briefly analyzes and predicts the temporal and spatial distribution features and distribution range of contaminant concentration.

然后分别以半无限长沙柱中连续注入示踪剂浓度的运移、污染物通过一完全进入潜水层的排放井连续进入含水层这两个典型地下水污染定解问题及地下水流和水质联合模拟问题为例，从问题描述、数学模型选取确定、参数选取到运用IDL编程进行数值计算、属性数据读写、可视化，对上述地下水污染问题进行数值模拟和可视化的后处理，并根据数值模拟的数值结果和溶质运移曲线，对污染物浓度的分布范围及随时空变化趋势作了简要分析预测。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新