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The least squares technique was adopted herein so that the convergence difficulties often encountered in solving threedimensional problems were completely avoided.


The author represents the opinion that field quantization has nothing to do with the convergence difficulties.


Some of these methods are known to have numerical convergence difficulties that can be explained theoretically.


Convergence difficulties found in applying the CNDO/2 procedure to some models are discussed.


The method works both for ground and excited states and no convergence difficulties are met.

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 Based upon a comprehensive study of the various methods of slices for slope stability analysis, the general equilibrium equations have been put forward. Extensions have been made to the MorgensternPrice method which is known to be a rigorous method for solving the equilibrium equations. They include:1. The argument about the restrictions on the boundary values of the unknown variables when assumptions are made for them.2. A refinement of the numerical process to solve the convergence problems which have occasionally... Based upon a comprehensive study of the various methods of slices for slope stability analysis, the general equilibrium equations have been put forward. Extensions have been made to the MorgensternPrice method which is known to be a rigorous method for solving the equilibrium equations. They include:1. The argument about the restrictions on the boundary values of the unknown variables when assumptions are made for them.2. A refinement of the numerical process to solve the convergence problems which have occasionally affected other methods in common use.3. The development of a numerical procedure based on the calculus of variations which has made it possible to find the upper and lower bound of the safety factors subjected to the restrictions of physical admissibility. The rigorous solution for the factor of safety has accordingly been obtained.  本文简要总结了土坡稳定分析条分法的各种方法,提出了条分法的普遍平衡方程式。对于求解此平衡方程的摩根斯顿普赖斯法进行了如下改进:1.指出了对多余未知数进行假定时应注意其边界值是固定的,不能任意假定。2.改进了数值计算方法,解决了有时遇到的收敛困难的问题。3.建立了在变分原理基础上的数值计算方法,找出受合理性条件控制的安全系数的上,下限,从而获得了安全系数的严格解。  A new technigue for realizing adaptive optimal filter (AOF), which is used to detect the Known signals in Gaussian colored noise has been Presented. The technigue in implemented by cascading an adaptive inverse spectrum filter(AISF)and a matched filter.Difficulties with ordinary AOF, slow convergence and a prohibitive implementation expense, can be solved partly by using this approach.There exist possibilities to replace the MTI and to improve the detection performances with this technigue in the Radar system.It... A new technigue for realizing adaptive optimal filter (AOF), which is used to detect the Known signals in Gaussian colored noise has been Presented. The technigue in implemented by cascading an adaptive inverse spectrum filter(AISF)and a matched filter.Difficulties with ordinary AOF, slow convergence and a prohibitive implementation expense, can be solved partly by using this approach.There exist possibilities to replace the MTI and to improve the detection performances with this technigue in the Radar system.It is very useful in snch a practical situation where the background noise has the unkown and timevarying properties. The algorithm and configuration used tp the AISF are developed, The critical properties are examed by computer simulations.  本文研究了一种在有色、高斯噪声背景下,对已知信号检测的自适应逆谱滤波器加匹配滤波器方案。这种方案克服了一般自适应最佳滤波器在信号样点数较大时设备复杂,收敛困难等缺陷,可望在工程上代替常用的MTI,而带来检测性能的改善。它特别实用于噪声背景具有未知或时变参量的一阶、二阶杂波的实际应用场合。本文得出了相应自适应逆谱滤波器的算法和结构的基本形式。并对其主要特性进行了初步的计算机模拟,验证了理论的正确性。  In this paper a new approach to treat the boundary conditions ofsimple pulse converter is described.The two tapered pipes of converterare taken as two conical ones.With this model,the boundary of a simple pulse converter branch canbe treated as that of an ordinary one,and the calculation precision willnot much influenced by the lengths of these pipes when the effects of suchfactors as heat transfer,friction and variation in cross sectional area ofthe pipes are considered in calculation.Furthermore,the calculaion... In this paper a new approach to treat the boundary conditions ofsimple pulse converter is described.The two tapered pipes of converterare taken as two conical ones.With this model,the boundary of a simple pulse converter branch canbe treated as that of an ordinary one,and the calculation precision willnot much influenced by the lengths of these pipes when the effects of suchfactors as heat transfer,friction and variation in cross sectional area ofthe pipes are considered in calculation.Furthermore,the calculaion ofthe simple pulse converter branch is simplified,some difficulties arised from iterative solution of the equation set will no longer exist and the machinetime used in matching calculation is largely reduced.  本文介绍的简单脉冲转换器的边界条件处理是将两个变截面管段看作两个锥形管模型。计算中考虑了气体在脉冲转换器变截面管段中流动时传热、摩擦及变截面等因素的影响。因此,两个变截面管段的长度对计算精度不会产生较大的影响,而重要的是简单脉冲转换器分支边界可按普通分支边界处理,从而不存在简单脉冲转换器边界方程系迭代收敛困难的问题。计算时间也比原脉冲转换器程序缩短了大约一半。   << 更多相关文摘 
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