查询词典 interpolation method

Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation ,and deduced its calculation formula.

在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上，提出了一种基于非线性插值的地震波旅行时计算方法，并推导了其计算公式。

The fractal interpolation method based on affine transformation is a kind of method of fractal interpolation function by iterative function system.

基于仿射变换型的分形插值方法是由迭代函数系统实现分形插值函数的一种方法。

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。

Thiele type continued fraction interpolation is used to interpolate pixels around damaged part of the regular texture aiming at repairing the texture based on the regular inpainting method. Bisection is used when whole information and details are needed in sampling. Thiele type continued fraction interpolation is not an ideal method in the case of irregular damaged region Newton-Thiele type contined fraction is put forword to solve this problem. Point window is also used in the process of sampling.

在通常的图像修复技术上，对于一些规则的破损纹理图案采用一元Thiele型连分式模型来进行修复，在采样选取上，考虑到图像的整体信息和细节特征采用了二分的方法来进行处理，对于具有不规则破损区域的纹理图案，采用一元的方法不能达到令人满意的效果，采用二元Newton-Thiele型混合有理插值连分式的有理插值的方法来对具有不规则破损部分周围的像素点进行插值并采用采样点窗的方法进行采样可以达到修补破损部分的目的。

In the four section,we give a kind of method of construction method,we still give an alogrithm for computing Lagrange interpolation polynomial on sphere.and wo give a piecewise interpolation polynomial on sphere and its error estimate.

最后，给出了一种球面分片插值和它的误差估计。

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。

On the base of analysis of one dimensional linear interpolation method, two dimensional linear interpolation method in oblique angled rectilinear coordinate system is obtained.

在分析一维线性插值的基础上，得到了任意斜角直线坐标系下二维线性插值的一般计算公式以及有唯一解的条件，并将其应用于平面温度场的计算。

More than 30 kinds of meshfree methods are reviewed in this paper in the light of weighted residual method, and different meshfree methods can be viewed as different forms of weighted residual method and/or with different approximation functions. Various kinds of meshfree approximate schemes are presented in detail, including moving least square approximation, kernel and reproducing kernel approximation, partition of unity approximation, radial basis approximation, radial point interpolation and natural neighbor interpolation.

详尽介绍了各种无网格近似方案(包括移动最小二乘近似、核近似和重构核近似、单位分解近似、径向基函数近似、点插值近似、自然邻接点插值近似等)和无网格法中常用的各类加权余量法(伽辽金格式、配点格式、局部弱形式、加权最小二乘格式和边界积分格式等)，并讨论了数值积分方法和边界条件的处理等问题。

And by using the initial conditions as well as the end conditions, the dynamic problem is then transferred to a second kind Volterra integral equation about the function of the axial strain with respect to time which can also be solved successfully by the interpolation method. For piezoelectric and pyroelectric hollow cylinders, by following the solving procedure for elastic hollow cylinder and by using the electric boundary conditions, the dynamic problems are transferred to two Volterra integral equations about two functions of time, one is axial strain and the other is related to electric displacement, which can also be solved efficiently and quickly by employing interpolation method. The elastodynamic solutions of hollow spheres, which are made of elastic, piezoelectric and pyroelectric materials, respectively, for spherically symmetric problems are also obtained.

对于弹性空心圆柱，通过引入一特定函数将非齐次边界条件化为齐次边界条件，然后利用正交展开技术，导出关于时间函数的方程，再结合初始条件和端部边界条件，将原问题转化为关于一个时间函数的第二类Volterra积分方程，运用插值法可给出此积分方程的解；对于压电和热释电空心圆柱，利用求解弹性空心圆柱相似的方法，再结合电学边界条件，原问题转化为关于两个时间函数（轴向应变和与电位移有关的函数）的第二类Volterra积分方程组，同样可用插值法来构造相应的递推公式高效地求解此积分方程组。

In order to improve the numerical stability during the solving of convection-dominated convection-diffusion problems, an upwinding local radial point interpolation method is proposed based on the local radial point interpolation method and the local upwinding weight function.

为提高对流扩散问题中对流项占优时的数值稳定性，采用局部上风式权函数，在局部径向基点插值无网格法基础上构建了上风式局部径向基点插值无网格法。

The work of this paper is as follows: 1. Looking back the progressing history of the linear motor, introducing the features of the elevator driven by linear induction motor, radicating the topic of this paper "the digital frequency variable control of the elevator bi-side direct driven by linear induction motor". The research of this paper covers the conventional VVVF control, space vector based VVVF control, vector control and DTC.

本文主要开展了以下几个方面的工作： 1 回顾了直线电机发展历史，电机的驱动技术演变，特别是针对直线电机的驱动，简要介绍了直线感应电机驱动电梯的优点和不同结构类型，对传统的v／f控制，基于空间矢量法的v／f控制，矢量控制，和基于电压空间矢量的直接转矩控制进行了比较，确立了本课题的研究主题：直线感应电机双边直推式驱动电梯的全数字变频控制。

The article combines with the treatment of a superficial civil air defense work to introduce how the grouting method to improve the performance of the backfill soil.

文章从治理漂浮人防工事的角度提出了注浆技术在改善回填土性质方面的应用，并详细阐述了注浆技术的施工流程。