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Through adopting frequency-response functions and railway track irregularity PSD, methods and models are optimized. The speed of simulation is enhanced with fast Fourier transformation.

通过引入频响函数及轨道不平顺谱优化了列车荷载数值算法及计算模型,并在数值计算中采用傅里叶快速数值算法,提高列车荷载的模拟的效率和可靠性。

With the development of computer technology and numerical modeling techniques, many numerical methods have been established and applied to this field. Finite element method is one of the most effective.

随着计算机科学和数值计算方法的发展,目前已经有很多数值方法应用于大体积混凝土结构温度应力仿真分析中,其中有限单元法是一种十分有效的数值分析方法。

The numerical examples show that the modifying generalized moving least squares approximation has high accuracy not only for function value but also first or higher orders derivatives.

数值计算显示本文提供的方法关于函数值和各阶导数值都具有很高的精度。

And the author integrated the ship maneuvering, numeric analysis, the solution method for inverse problems and the control theory, and made the decision that the regularization method is adopted to obtain the coefficients of ship maneuvering, and that immune genetic algorithm is used as the numerical algorithm of the regularization method.

通过分析,综合船舶操纵性,数值分析,反问题的数值解法和控制理论等相关知识,决定采用正则化方法反演船舶操纵运动相互干扰系数,用结合免疫遗传算法的正则化方法作为数值解法来建立船舶操纵运动灰箱模型。

This paper studied a filtering high order numerical method for one dimension constant coefficient hy2 perbolic function. The stability and error analysis show the efficiency of this method. Numerical examples are also given to verify the analysis results.

摘 要 考虑一维常系数双曲型方程的高阶数值解法,引进了一种稳定性过滤算子FN ,最后从理论和数值实验上分析了该过滤算子对数值解稳定性和精度的影响。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分,第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状;第二章数值微分的正则化及其应用从正则化理论和算法的角度出发,考察了许多正则化方法,还给出了数值微分在抛物型偏微分方程反问题的一些应用;第三章谱正则化方法是在Fourier分析的基础上,在一般正则化理论的框架下,给出了这种方法在各种不适定问题中的应用,数值实验表明谱方法是有效的;第四章研究了小波对偶最小二乘方法和改进的小波方法;第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用;第六章是未知源识别问题,主要指出了两类未知源问题的不适定程度和不适定本质,同时报告了一些数值方法。

Therefore, it is necessary to test the computation results and further modify the computation method based on the comparison between the numerical solution of the linear or non-linear equations and the trial value or the computation results of typical cases.

所以,需依靠对非线性数学方程的数值实验及数值解与试验或典型算例结果的比较和物理特性分析,验证数值计算结果,进一步改进计算方法。

Methods: We selected 71 patients with acute hemorrhagic stroke as the study group who were hospitalized within 24 hours after onset in the 1st 3rd 5th 7th 9th 11th 13th 15th day of hospitalization and prior to the usage of dehydrant. We selected 30 normal people as the control group. We collected the data of cerebrovascular hemodynamic index including cerebral blood flow and velocity, cerebrovascular resistance, cerebrovascular elasticity ,dynamic resistance and critical pressure for each patient . We compared the data between the study group and control group ,also we compared the data in the different time after disease onset and the data of affected side and non-affected side by using SPSS software.

选择急性出血性脑血管病患者71例为观察组,正常人30例作为对照组,观察组以发病时间为起点,分别在发病后第1、3、5、7、9、11、13、15天且在使用脱水药前行脑循环动力学检测仪检测获得脑循环动力学参数,包括血流速度、血流量、血管弹性指标,血管阻力、血管调节功能指标动态阻力及临界压力数值,对观察组和对照组的各项数值进行比较,及观察组在发病后的不同时间进行前后比较,且对患侧和健侧数值之间进行比较,所得数据使用SPSS软件处理。

Numerical method of maro/micro coupling and coupling of calculation of phase diagrams in simulation on microsegregation were discussed in this paper.

论述了在显微偏析数值模拟研究中宏/微观模型的耦合数值方法和显微偏析模型与相图计算耦合的数值方法。

Chapter 4 of this dissertation has carried out a physical simulation study about the processes of formation and laws of evolution of the fan delta in Baimiao gas field. Based on the results of the study about the geological background in this area, this paper has discussed about the sedimentation facies marks for the fan delta in Baimiao gas field, worked out a detailed proposal about the development of physical simulation experiment about the fan delta, and described in detail the general laws and major controlling factors governing the sedimentation processes of the fan delta. A detailed measurement was made about the experimental results, and a systematic comparison was made relative to the prototypic characteristics. Based on the observation and description about the experimental processes and the analyses about the experimental results, this paper has give

在本章中,指出了数值模拟研究的基本特点,给出了扇三角洲形成过程的基本控制方程和数学解法:在此基础上设计和开发了扇三角洲形回成过程的平面二维数值模拟软件,并对计算过程中所遇到的主要问题一计算速度较慢开展研究,对比了以天、旬、月为时间单元进行汁算对沉积结果的影响,研究认为,在流量无突变的情况下,可以适当增长计算的时间步长和适当放松精度要求;根据白庙气田扇三角洲的基本地质特征设计了数值模拟计算的基本条件,以月为单位,计算了扇三角洲四百年的形成过程及演化规律,并以50年为单位输出沉积结果;本章最后还对数值模拟方法及结果进行了讨论。

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