查询词典 interpolation problem

Regionalize by clustering helps improve the prognostic precision of different interpolation method. Concerning complanate hypsography such as plain and hill, the interpolation errors of accumulated temperature don"t have obvious change trends and regularity when the number of meteorological stations increase. Namely, increasing station density can"t effectively ameliorate interpolation error. In the regions where terrain is complex the interpolation errors present degressive trend with the increasing number of meteorological stations.

在平原，低山丘陵等地势平坦的地区误差对站点密度增加的响应不具有明显趋势和规律性，即站点密度的增加对插值误差的改善没有明显效果；在地形复杂，地势起伏大的地区误差随站点密度的增加在一定范围内呈大幅度下降趋势，即插值站点数的变化对插值结果有较显著的影响。

In addition also using algebra interpolation leveling system error, including the linear interpolation, the parabola interpolation and the partition interpolation.

此外还利用代数插值法校正系统误差，其中包括线形插值法、抛物线插值法和分段插值法。

This dissertation firstly introduces the principles of four kinds of simple gridding methods, which are"Linear interpolation based on triangulation","Inverse distance weighted and averaged method","Modified Shepard's method"and"Multiquardirc method". Secondly, it researches the Ordinary Kriging method for geophysical irregular data, which mainly includes the base knowledge of region change and variogram and the principle of Ordinary Kriging method. Thirdly, it researches the Inverse Interpolation for geophysical irregular data, which mainly includes the principle of inverse interpolation and its iterative algorithm, and the principle of Inverse Interpolation to realize the gridding of geophysical data. Finally, it uses these gridding methods to grid theoretical model data of potential field and raw aeromagnetic data, and compares and analyzes the gridding results.

本文首先简单介绍了地球物理不规则分布数据的四种简单网格化方法(即基于三角网的线性插值法、反距离加权平均法、改进的Shepard方法和多元二次函数法)的方法原理；接着，重点研究了地球物理不规则分布数据网格化的普通克里金法，主要研究了区域变化量、变差函数的基础知识和普通克里金法的方法原理；之后，重点研究了地球物理不规则分布数据网格化的反插值法，主要研究了反插值法的方法原理和迭代求解算法，以及反插值法实现地球物理数据网格化的原理；最后，应用这些方法对理论位场模型和实际航磁数据进行了试验、对比和分析。

To reduce the error between the interpolation function regaining the sampled signal and interpolation function ha by Shannon sampling theorem, this paper suggests that the common linear interpolation is replaced by a second order approximation of the parabolic interpolation.

为减小恢复被采信号所用的内插函数与山农采样定理要求的内插函数ha之间的误差，提出了用抛物线内插--ha的二阶近似代替常规的线性内插。

An S-shape acceleration/deceleration control model is developed by summation progression and the corner of two conjoint lines is adopted as a parametric variable to control the feedrate through the inflexion of two lines. Based on these, interpolation process is divided into two steps: interpolation pretreatment and interpolation point calculation. Feedrate planning is accomplished in the pretreatment step. Interpolation point calculating only depends on the real-time feedrate and the direction vector of the line.

该算法以级数求和的方法推导了S型加减速控制模型，并以小线段夹角为参变量控制拐点通过速度建立了小线段速度衔接模型，在此基础上，算法将插补过程分解为插补预处理及插补点计算两个步骤，预处理中对小线段进行速度规划并设计了线段速度的递推处理方法，插补点仅需根据当前速度及线段方向向量即可求出。

As a application of this theory, we discussed the interpolation problems in which the nodes are ununiform rectanglar grids in real space. We gave the lowest interpolation bases of nodes in rectanglar and sidestep-shaped area. Another application is for finite elements theory. We mainly discussed finite elements of Hermite-Birkhoff type interpolation and gave a new algorithms for a interpolation bases.

作为上述理论的具体应用，我们一方面讨论了插值节点为实空间上的非均匀矩形格点的插值问题，主要给出了矩形区域和阶梯形区域中格点上插值问题的按序最低的插值基的一般公式，另一方面我们研究了多元插值在有限元中的应用，主要是针对Hermite-Birkhoff型插值的有限元给出了计算插值基函数的算法。

Due to the luck capability in the floating-point operation of PCC, the interpolation method most compatible with the axial-flow adjustable-blade water turbine collaboration can be confirmed, compared with the other collaboration interpolation method. The method is improved on the basis of regular linearity interpolation. It increases the precision of interpolation and rapidity of operation.

2：针对PCC浮点运算能力不够强的特点，通过对比多种协联插值方法，寻找出适合在轴流转桨式水轮机协联运行中运用的插值方法，该方法在常规线性插值的基础上进行了改进，做到了在提高插值精度的同时，又兼顾了一个较快的运算速度。

The simulation is based on four methods, including the discrete ordinates method with donor-cell interpolation, the DOM with van Leer interpolation, the modified DOM with donor-cell interpolation and the modified DOM with van Leer interpolation. The computational results are compared with those obtained by the Monte Carlo method.

本模拟采用四种方法，包括以donor-cell内差的离散方向法，以van Leer内差的离散方向法，以donor-cell内差的修正的离散方向法，以van Leer内差的修正的离散方向法，其计算结果将与蒙地卡罗法所得到的结果作比较。

The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题，它广泛应用于多元函数列表，以及曲面的外形设计和有限元法等诸多领域，近年来多元多项式插值越来越受到人们的广泛关注，其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年，梁学章和吕春梅在文献[2]中借助代数几何中的有关理论，进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题，并应用Cayley ？

So in this paper, first, the ELM is improved by taking the interpolation process under absolute coordinates, so that the horizontal interpolation could be taken in a horizontal plain of the same altitude, thus the problem of unreasonable interpolation sources is prevented.

所以本文首先对欧拉-拉格朗日方法作了改进，把其中的插值过程改在绝对坐标下进行，使得水平插值过程在同一高度的水平面内进行，从而克服了插值不合理的问题。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。