延拓法

MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

This paper use Mirror closed extension to solve the problem of end effect. Mirror closed extension maps the signal into a periodic signal of the ring through the mirror image method, and there is no endpoint, and fundamentally avoids the end effects of EMD and Hilbert transform.

针对这一。。。更多问题，本文利用镜像闭合端点延拓来抑制端点效应，闭合端点延拓法即用镜像法把镜内信号映射成一个周期性的环行信号，不存在端点，从根本上避免了EMD和Hilbert变换的端点效应。

Generalized continuation method precision and the values of three parameters are closely related.

广义延拓法精度与三个参数的取值有着密切的关系。

We analyse and compare the traditional timemarching method, the fixed point iteration method, Chan, Chan and Zhou proposed such an approach using the Newton method combined with continuation and the primal-dual method.

本文对传统的时间依赖方法，不动点迭代法，原始对偶方法，Zhou，Zhou和Chan提出的牛顿法与延拓法相结合的方法进行了比较分析。

Then, we use numerical continual method to get the periodic numerical solution.

接着，我们尝试运用数值延拓法求取其周期数值解。

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

Through analysis of studied results of volcanite reservoir in Xincheng area, northern part of Songliao basin, by using seismic-geologic interpretation mode of volcanite facies formed by characteristic seismic response a...

本文通过对松辽盆地北部兴城地区火山岩储层的研究成果分析，利用由地震响应特征形成的火山岩相地震地质解释模式，并结合相关的钻井、测井及区域地质资料，将该区的火山岩相划分为爆发相、溢流相和火山沉积相三种亚相；用延拓法可视化技术，精细地刻画出火山口的地貌。

This paper presents a rapid inversion method for 3D apparent density based on separation and continuation of potential field. The new method is carried out in the following three steps. Firstly, the gravity field on the plane is separated by a cutting method into several parts corresponding to strata of different depth. Secondly, by the way of downward continuation, the field resulted from different strata is respectively reduced to a plane corresponding to its depth.

文中提出了一种基于位场分离与延拓的视密度快速反演方法：首先应用场分离的切割法对平面上的重力场进行不同深度层源的切割分离；然后运用大深度向下延拓方法将各层的场延拓至相应的深度；最后反演出各深度层的密度。

Based on this theory,the continuation met hods for the computation of the firing table are designed.

根据这个理论，设计了计算射表的延拓法。

The downward continuations are made by the iteration method and the FFT for a model and practical data, respectively. The effect of the iteration method is much better than the FFT.

本文用迭代法对模型数据和实际数据进行向下延拓，对比了迭代法与常规的FFT法在位场向下延拓中的效果，迭代法显著优于FFT法。

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。