Optimal Spectral-Galerkin Methods Using Generalized Jacobi Polynomials

We extend the definition of the classical Jacobi polynomials withindexes α, β>−1 to allow α and/or β to be negative integers. We show that the generalized Jacobi polynomials, with indexes corresponding to the number of boundary conditions in a given partial differential equation, are the natural basis functions for the spectral approximation of this partial differential equation. Moreover, the use of generalized Jacobi polynomials leads to much simplified analysis, more precise error estimates and well conditioned algorithms.Mathematics subject classification 1991. 65N35, 65N22, 65F05, 35J05     

Optoelectronic Method of Noncontacting Reconstruction of the Profile of a Surface of Three Dimensional Objects of Large Dimensions

An optoelectronic method is considered for noncontacting reconstruction of the surface profile of three-dimensional objects of large dimensions. The optimal conditions for performing measurements are identified. It is shown that the proposed method, in contrast to the already known methods, does not require fine tuning of the equipment. A numerical method is given for compensating distortions caused by aberrations. A method is described for reconstructing the surface profile cell by cell which increases the accuracy of measurements.     

Methods of Verifying Continuous Automatic Belt Weighers: State and Prospects

The basic methods of verifying continuous automatic belt weighers are described. A comparative analysis of these methods on the basis of experimental studies is made and ways of implementing the results in industry are recommended.     

探针馈电圆柱共形微带天线阻抗特性的FDTD法分析

将圆柱坐标系下非分裂式理想匹配层吸收边界条件(UPML)引入到圆柱共形微带天线的全波分析中，并给出了其中的场量迭代方程，明显地减小了计算空间，简化了编程；提出了圆柱坐标系下考虑有限尺寸探针半径的新算法，使得计算结果更加精确；应用GPOF方法预估了时域晚时响应，使计算时间减少了70％～90％。本文给出的模型能够对任意多层圆柱共形结构的微带天线进行计算，因此对此类天线的CAD设计具有实际意义。     

架起试井理论和应用间的桥梁

分析指出试井理论和应用之间存在的问题，提出构架试井理论和应用之间桥梁的基础，明确构架桥梁的方法和手段。根据目前国内外试井理论和应用的发展状况，指出试井理论和试井分析方法应用的发展趋势。     

基于对比折射法的三维静校正技术及其应用

在地形起伏剧烈、速度和厚度横向变化大的地区，折射静校正技术的应用受到诸多限制，主要表现在不能准确地识别和拾取来自于地下连续地质界面的折射波，使得精确求取的长波长静校正量困难。为此，提出了一种基于对比折射法的三维静校正技术。介绍了这种静校正技术的方法原理和特点，基于对比折射法的折射波至拾取实质上是一个折射层的对比分析解释过程，因此能准确地拾取折射波至，精确地求解低速带的绝对延迟时；然后利用延迟时和近地表速度模型（等效，时深，空变）反演表层模型，最终一次性完成基准面静校正（包含低速带校正和高程校正）。在黄土塬、沙漠以及沙漠和山地的接合部等地区，利用基于对比折射法的三维静校正技术进行静校正处理，使资料的品质得到了明显改善，反射同相轴连续性好，信噪比和分辨率高，构造形态清晰可靠，提高了勘探精度。     

一种单相串联混合电力有源滤波器的研究

文中对串联混合电力滤波器抑制谐波的原理进行了分析。为了检测单项系统的谐波电流,提出一种基于虚拟三相法和瞬时无功理论的谐波检测方法,并且对串联滤波逆变器的直流侧电压的控制进行了讨论。仿真结果证明了其有效性。     

An overlapping domain decomposition dual reciprocity method

We present a domain decomposition boundary integral equation method for two-dimensional partial differential equations. The overlapping Schwarz method is employed to improve the dual reciprocity boundary element method. The resulting algorithm turns out to be more accurate than a non-overlapping approach previously proposed. Some numerical results showing the improved accuracy and efficiency of the methods are given.     

关于中值定理的几点应用

本文作者给出了在两种不同类型的证明题中应用中值定理的方法.这些方法简单、实用.     

储层泥浆侵入深度预测方法研究

泥浆侵入半径的确定尚缺乏严格的验证标准.以油水两相渗流理论和离子扩散方程为基础,结合储集层特点,研究了不同储层参数下泥浆滤液对地层的侵入特性.数值模拟侵入时间选取10 d和20 d.数值模拟结果表明,侵入半径在渗透率不变的情况下随孔隙度的增大而减小,在孔隙度不变的情况下随渗透率的增大而增大;当渗透率和孔隙度都发生变化时,泥浆侵入半径一般随孔隙度的增加呈幂函数增加.依据这种关系对测井资料约束处理,得到的泥浆侵入半径较客观地反映了地层的真实情况.