插值问题

Based on an interpolation postprocessing, superconvergence estimates of both eigenfunction and eigenvalue are obtained.

应用稀有限元方法讨论特征值问题的求解，通过插值后处理，得到了特征值和特征函数的超收敛结果。

The main contents of this course include: introduction, extraction of root from an equation, numerical solution of a system of linear equations, interpolation method, the method of fitting of a curve, numerical integration and differentiation, numerical solution of a differential equation, one-dimensional search method of extreme value problem, etc.

本课程包括以下内容：绪论、方程求根、线性方程组数值解法、插值法、曲线拟合法、数值积分与数值微分、微分方程数值解法、极值问题的一维搜索法。

In view of trust region algorithm has good global convergence for solving non-linear quadratic programming problem,the effective elastic module s damage factor and the damage distribution function is introduced by FEM updating .

鉴于信赖域算法在求解非线性二次规划问题中具有良好的全局收敛特性，同时结合有限元模型修正技术，引入有效弹性模量损伤因子和损伤分布函数的概念，在Matlab编程环境下调用ANSYS有限元程序中的APDL语言进行桥梁空间结构的有限元建模，利用信赖域算法调整局部单元的参数，通过连续损伤分布插值多项式拟合连续区段各单元的损伤分布曲线，进而实现了对连续梁桥的动力损伤识别。

Applying this transformation once, we can make the degree of the first r rows of the polyphase matrix decrease one order, and avoid decreasing the degree row by row as the traditional methods. This method is not restricted by the length of the filter, and needn't factorize the polyphase matrix into a special form.

本文对紧支撑小波构造方面的一些问题进行了探讨和研究，得到一系列有意义的结果，主要包括：在一元小波构造方面，给出由m-带紧支撑正交插值尺度函数显式构造相应正交小波符号函数的公式，这部分内容在第2章中给出。

We decompose curvature signal with wavelet at first and then use its low frequency coefficients as new smooth curvature signal, which is used to construct a G^2 continuous piecewise rational cubic Bezier curve with (Geometric Hermite Interpolation, GHI) GHI method subsequently.

针对在逆向工程的实践中常见的轮廓线的光顺问题，给出了一种先对曲率图进行小波分解，提取其低频部分作为新的曲率图，并利用几何Hermite插值方法，生成G^2连续的分段三次有理Bézier曲线，从而重建出光顺的产品轮廓曲线的新方法。

Solving the problem of one-dimensional search optimization methods are golden section method, the second interpolation, and so on.

求解一维搜索问题的最优化方法有黄金分割法、二次插值法等。

The applications of Matlab in engineering calculation of unit operations by exemplifying several typical calculations involved nonlinear equation,interpolation,numerical integration,graphic method and log coordinate drawing are discussed.

以几个典型问题为例，讨论了Matlab在求解非线性方程及方程组、插值法获取物性参数、积分、绘图计算及对数坐标图的绘制等化工原理工程计算中的应用。

Begehr constructed Hermite interpolatory polynomial in the meaning of non-tangential limit derivatives and got another method of solution.

Begehr教授[10]在非切向极限导数意义下构造Hermite插值多项式，给出了该问题的一种新解法。

For reactor, the point reactor kinetics equation with six-group delayed neutrons is used and influence of coolant's and fuel's temperature is considered, conduction model of one dimension and single-channel model is used in thermal and hydraulic calculation, third-order Hermite polynomial is used to solve the point reactor kinetics equation.

对于反应堆，在物理计算中采用了带有六组缓发中子的点堆方程，同时考虑了多普勒效应及冷却剂温度效应对反应性的影响；在热工水力计算中采用了一维的热传导模型与单通道模型；在求解点堆方程中采用了Hermite插值的方法，克服了点堆方程的刚性问题。

To similinear hyperbolic system, we use interpolated coefficient FEM and get similar results as the linear one.

对于一阶半线性双曲组，我们对半线性项插值系数有限元方法，得到了和线性问题类似的结论。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。