插值问题

As thezeros of multivariate splines, the piecewise algebraic variety is a generalization of theclassical algebraic variety.

分片代数簇作为多元样条的公共零点集合，是经典代数簇的推广，它不仅和许多实际问题如多元样条插值，CAD和CAGD等有关，而且还为研究经典代数几何提供理论依据。

The calculation principles of PIM are analyzed and applied to elasticity mechanics problems.

文中分析点插值法的计算原理，给出其在弹性问题中的应用，并与有限元法以及移动最小二乘法进行比较。

In this dissertation, the following critical theoretical problems on local La-grangian numerical differentiation are studied: explicit formulas, local estimate for the remainder, and the highest order of approximation in the case that the values of the function at these interpolation nodes have perturbationsLagrangian numerical differentiation is a method that the Lagrange interpolation polynomialis differentiated to approximate the derivative, where Tn ={t_0,t_1,......

本文主要研究有关局部Lagrange数值微分法的一些关键性的理论问题：公式的显式表示，余项的渐近估计，以及在插值数据有扰动的情况下，局部Lagrange数值微分法的最大逼近阶。

The numerical examples of linear and nonlinear vibration demonstrate that barycentric Lagrange interpolation collocation method have advantages of simple formulations, easier to program and higher computational accuracy.

线性和非线性振动问题的数值算例表明，重心Lagrange插值配点法具有公式简单、数值实施方便和计算精度高的优点。

The linear vibration problems under periodic exciting force and general exciting force are numerical analysis by barycentric Lagrange interpolation collocation method.

利用重心Lagrange插值配点法分析了周期激励和一般激励下线性振动问题。

To solve the problem of blurry edge in traditional linear interpolation algorithm, an improved algorithm is proposed.

针对传统的线性插值算法存在的边缘模糊问题，本文提出一种新算法。

Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on.

在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题。

This formulation solves the non-linear problem on the surface of the boundary elements and interpolates these effects between these boundaries.

这一提法解决非线性问题，表面上的边界插值这些要素和影响之间的界限。

Z2Bn z$e0A0 Meshless method is a new numerical computation method that is developed rapidly in recent years. Without element mesh and based on the dispersed nodes to form approximate interpolative function dynamically, meshless method has distinct difference with traditional finite element method. Meshless method conquers the problems caused by mesh generation, mesh aberration and mesh move. With provides a new effective means to engineering problem, meshless method obtain highly recognition in international compute mechanics domain and engineering field.

6L！y6K1Q6h0k0 无网格方法是近年来迅速发展起来的一类新型数值计算方法，它们不借助单元网格而是基于离散结点动态构造近似插值函数，与传统的有限元方法有着显著的区别，克服了网格生成、网格畸变和网格移动引起的问题并为工程问题提供了一种新的有效分析方法，受到了国际计算力学界和工程界的高度重视。

N algorithm for close approach determination was developed by Alfano and Negron （1993） based on polynomial splining techniques.

lfano—Negron（1993）提出的空间目标接近分析算法将最小相对距离及其对应时刻和进出误差椭球时刻的求解问题均转化为插值多项式求根问题。A—N算法在判断三次多项式根的存在性、筛选合理实根时存在缺陷，可能导致多余计算。

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。