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Spectral element methods for partial differencial equation is introduced in this study from viewpoint of the collocation approximation of Chebyshev polynomial. Wave Equation and its space discretization are deduced. Two time integral methods, central difference method and implicit Newmark method, are introduced, and their stability and applicability are also discussed in some details. The significance of absorbing boundary conditions in spectral element methods for Aeroacoustics is explained, and Clayton-Engquist-Majda absorbing boundary conditions is emphasized and introduced, then the discrete scheme of this boundary conditions is deduced and applied to spectral element methods for wave equation.

本文从Chebyshev多项式逼近理论出发,详细介绍了谱元方法求解偏微分方程的过程;推导了流体中的声波动方程并在空间上对其进行了谱元离散;详细讨论了两种时间积分方法──中心差分法和Newmark方法,分析了它们的稳定性条件,并从理论上对比了两种方法的优缺点和适用范围;将吸收边界条件推广应用于谱元方法求解气动声学问题中,重点介绍了Clayton-Engquist-Majda吸收边界条件的原理和公式,推导了该吸收边界条件的变分形式,并将其引入波动方程的离散形式中。

We firstly look back thebirth of SD method,and then present the SD scheme presented by Johnson et.al.forlinear problem to explain the basic idea and implementation:At step 1,we change the testfunctionwhere(1,β)t is the streamline or character direction decidedby hyperbolic operator of the continuous problem,therefore the SD method belongs tothe Petrov-Galerkin method;At step 2,we adopt time-space finite element space,whoseelement is only continuous in space variables x but discontinuous in time variable t.

首先回顾了SD方法的产生过程,然后以线性问题为模型,描述了SD方法的基本思想和具体实现:第一步,将标准有限元方法的检验函数ν改成其中(1,β)t是连续问题的双曲算子部分所确定的流线方向。换言之,SD方法是一种Peterov-Galerkin有限元方法;第二步,采用时空有限元空间,其元素关于空间变量x是连续的,但关于时间变量t仅分段连续。

This thesis contributes to geometry compression in the following aspects: Proposes a method of progressive spherical mesh parameterization based on local parameterization by directly projecting the deleted vertices to its neighborhood. Based on spherical mesh paramterization, an adaptive subdivision remeshing method by progressivly redistributing of sampling points is proposed, by this means, the main geometry information of the original mesh can be captured with only a small amount of samples, it can also be used in mesh simplification. By regarding attributes binded on mesh vertices as geometry signals and transferring them onto a uint sphere by means of spherical mesh parameterization, meshes with different attributes are compressed with spherical wavelet successfully with high compression rate. As a kind of lossy geometry compression technique, two mesh simplification algorthimes are also presented in this thesis.

归纳起来,本文的主要贡献有:提出了以直接投影局部参数化方法为基础的网格累进球面参数化方法;在网格球面参数化方法的基础之上,提出了一种基于累进优化布点方案的网格细分采样方法,该方法可以用很少的采样点就可以捕获到网格的主要特征,因此我们也将其用于后面的网格简化工作当中;通过将网格顶点上定义的各种属性看成几何信号,并以网格球面参数化为手段将几何信号迁移到单位球面上,从而成功地实现了用球面小波对各种几何信号的压缩;作为一种有损压缩方法,本文还提出了基于统一距离的网格简化算法和基于重采样的网格简化算法。

During the calculation the results got by quintic spline kernel was the best so it was chosen as the proper kernel for the SPH simulation. By comparison of the simulation results got by SPH and finite volume method, it was proved that the buffer cells method proposed in the SPH simulation to implement the Dirichlet boundary conditions was accurate, and this is of great importance for the simulation of flows pass a pipe. At last, the SPH method was improved to simulate the liquid-solid two phase flows and the results show that this method was appropriate for the simulation of flows containing viscous fluid and macroscopic solid components. Now the two methods are both able to predict the continuum flows and rarefied flows severally, but the hybrid program still has some aspects to be improved.

首先用标准算例验证了SPH方法的理论模型和计算程序的准确性;通过比较确定选用五次样条核作为计算低雷诺数下的粘性连续流动时的核函数;采用SPH方法和有限体积法分别对同一管道流动进行了对比计算,证明了本文提出的边界缓冲区方法在实现SPH方法中的流体边界条件时的有效性,解决了SPH方法模拟管道流动时的一个关键问题;巧妙地使用SPH方法对化工分离流动中常见的固液两相流及固液耦合作用进行了模拟尝试,获得了较好的结果;在跨尺度计算方面,目前两个子程序已经能够分别模拟连续的和稀薄的二维管流问题,二者的耦合计算程序还处于调试和优化阶段,各个参数对于计算精度和计算速度的影响规律仍在探索中。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows:①reviewed entirely the origin and evolvement of the concept "sustainable development", stated and commented the study status in queue on"sustainable development"around national and international range, thorough discussed the science connotation about the concept "sustainable development";②looked back and commented across-the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings;③expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory;④thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the MATLAB software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the B-J method and Morte-Carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources;⑤synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming, mathematical statistics, random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality;⑥analyzed the inside condition and outside condition to assure the sustainable and optimum exploitation of groundwater resources, the inside conditions are the follows: correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows: the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water-saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology;⑦scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy;⑧point out the more directions on groundwater resources.

它将为制定水资源的可持续发展目标和战略决策提供科学依据,为制定社会、经济可持续发展战略提供理论基础。基于以上考虑,论文主要从以下几方面对地下水资源可持续开发问题进行了比较深入的探讨:①全面回顾了"可持续发展"概念的由来与演变,对国内外"可持续发展"的研究现状进行了述评,并对"可持续发展"概念的科学内涵进行了深入探讨;②对涉及地下水资源的一些最基本的概念和命题进行了全面的回顾和评述,对目前仍然存在的一些错误观点和混乱认识提出了自己的见解;③全面阐述了地下水资源变值系统理论的内容和意义,并与传统的地下水资源计算评价方法进行了对比分析,结合实例具体说明了方法的应用;④深入分析了地下水资源预测预报工作的极端重要性和复杂性,对传统的地下水资源动态预测方法进行了全面的评述,指出了各类预测预报方法的特点及适用条件,对最近二十多年刚发展起来的小波分析技术的主要思想和方法及其应用范围,以及号称第五代计算机语言的MATLAB软件和附带的小波分析工具箱进行了介绍,并应用于地下水动态过程线的分析,采用时间序列中的B-J法,蒙特卡罗方法,与地下水资源变值系统理论相结合,探讨了地下水动态资料分析和地下水资源预测预报的新思路;⑤综合分析了现今各类地下水管理模型的特点及缺陷,将数学规划、数理统计、随机过程等与地下水变值系统理论相结合进行地表水地下水或多水源的联合优化调度,使模型更准确、更实用;⑥对保证地下水资源可持续开发的内部条件和外部条件进行了分析,内部条件主要是正确的资源观,科学的资源计算与评价方法,可靠的资源预测预报技术,可操作的资源管理措施,外部条件主要是高层发展思路、管理体制的变革、配套的政策法规、经济杠杆的调节、人文素质的提高、节水意识的增强及具体节水措施、人口增长的控制、水体污染的防治、生态的恢复和重建等;⑦从宇宙科学、地球系统科学及哲学的高度审视地下水资源的可持续开发;⑧指出了地下水资源可持续开发的进一步研究方向。

The full text is total to is divided into four chapter:Chapter 1, the relevant concept of the listed company results evaluation, that is the other the theories foundation of the chapter, and do the foul to the textual evaluation angle settle;Chapter 2, the results evaluation index sign and the index sign system, the original index sign system of comprehensive evaluation of information formation that that choice listed company publish, and introduced the in common use index sign to sieve to endow with the method of the power with index sign;Chapter 3, the comprehensive results evaluation method, this is the foundation that carries on chapter 4, that carry on theories in chapter 2 fusion, became two kinds of comprehensive evaluation methods, and carried on the des cription to the operation step of a method;Chapter 4, the substantial evidence is analytical, this is the point of the full text, the collections combines the data of tidy up the listed company, making use of two kinds of methods within chapter 3s respectively, carry on synthesize to rank, and get two kinds of methods to rank the result to look like the consistent conclusion.

全文共分四章:第一章,上市公司绩效评价的有关概念,该章是其它章节的理论基础,并对本文的评价角度做出界定;第二章,绩效评价指标及指标体系,该章选择上市公司披露的信息形成综合评价的原始指标体系,并介绍了常用的指标筛选和指标赋权的方法;第三章,综合绩效评价方法,这是进行第四章的基础,该章将第二章中的理论进行融合,形成了两种综合评价方法,并对每种方法的操作步骤进行了描述;第四章,实证分析,这是全文的重点,收集并整理上市公司的数据资料,分别利用第三章中的两种方法,进行综合排名,并得到两种方法排名结果近似一致的结论。

In the experiment besides entire spermatophore transplantation and spermaduct transplantation, partial spermatophore transplantation and semen transplantation were firstly used in artificial insemination of Fenneropenaeus chinensis. Artificial insemination rate, fertilization rate and hatching rate were compared among the four methods. The results indicated that artificial insemination rate of four methods was high, the highest was 80.8% and the lowest was 53.3%.

在常规的精荚移植和输精管移植两种中国对虾人工授精方法的基础上,首次建立了精荚切块移植和精液移植两种新的人工授精方法,并对比了4种方法的授精成功率、受精率和幼体的孵化率。4种方法都取得了较好的授精成功率,其中完整精荚移植法最高,为80.8%;输精管移植法最低,为53.3%;其他两种方法依次为:精液移植法为73.9%,精荚切块移植法为66%。

Based on consider hereinbefore, this dissertation discusses several aspects on the problem of the sustainable and optimum exploitation of groundwater resources as follows:①reviewed entirely the origin and evolvement of the concept "sustainable development", stated and commented the study status in queue on"sustainable development"around national and international range, thorough discussed the science connotation about the concept "sustainable development";②looked back and commented across-the aboard some furthest basic concept and proposition related to groundwater resources, put forward self opinions on a few existent mistake points of view and chaos understandings;③expatiated entirely on the content and meaning of the theory of changeable groundwater resources system, contrast with the traditional methods of groundwater resources calculation and evaluation, combined example to show the application of this theory;④thorough analyzed the difficult and complexity to forecast the groundwater resources, fully stated the traditional methods of groundwater resources forecasting, pointed out the characteristic and applying condition of these forecasting method, introduced the main ideas and methods of wavelet analysis developed recently, and the MATLAB software be known as the fifths era computer language, and its accessory wavelet analysis toolbox, applied these methods and tools to analyze the groundwater dynamic curve, adopted the B-J method and Morte-Carlo method, combined with the theory of changeable groundwater resources system, discussed the new view on the forecast of groundwater resources;⑤synthetically analyzed the characteristics and limitations of the present all kind of groundwater manage model, combined mathematical programming, mathematical statistics, random process and the theory of variation system of groundwater resources on the unite optimum attempter of surface water and groundwater, emphasized how to make the model more nicety, more simple, more practicality;⑥analyzed the inside condition and outside condition to assure the sustainable and optimum exploitation of groundwater resources, the inside conditions are the follows: correct resources idea, scientific methods of resources calculation and evaluation, credible forecast methods of resources, exercisable measures of resources management, the outside conditions are the follows: the development idea of high layer, the transform of manage system, the matched policy and rule of law, the adjusted of economy lever, the improve of cultural diathesis, the boosting up of water-saving consciousness and detail measures, the control of population rising, the prevention and cure of water pollute, the renew and rebuild of ecology;⑦scan the sustainable and optimum exploitation of groundwater resources from the high level of metagalaxy, earth system science, and philosophy;⑧point out the more directions on groundwater resources.

它将为制定水资源的可持续发展目标和战略决策提供科学依据,为制定社会、经济可持续发展战略提供理论基础。基于以上考虑,论文主要从以下几方面对地下水资源可持续开发问题进行了比较深入的探讨:①全面回顾了&可持续发展&概念的由来与演变,对国内外&可持续发展&的研究现状进行了述评,并对&可持续发展&概念的科学内涵进行了深入探讨;②对涉及地下水资源的一些最基本的概念和命题进行了全面的回顾和评述,对目前仍然存在的一些错误观点和混乱认识提出了自己的见解;③全面阐述了地下水资源变值系统理论的内容和意义,并与传统的地下水资源计算评价方法进行了对比分析,结合实例具体说明了方法的应用;④深入分析了地下水资源预测预报工作的极端重要性和复杂性,对传统的地下水资源动态预测方法进行了全面的评述,指出了各类预测预报方法的特点及适用条件,对最近二十多年刚发展起来的小波分析技术的主要思想和方法及其应用范围,以及号称第五代计算机语言的MATLAB软件和附带的小波分析工具箱进行了介绍,并应用于地下水动态过程线的分析,采用时间序列中的B-J法,蒙特卡罗方法,与地下水资源变值系统理论相结合,探讨了地下水动态资料分析和地下水资源预测预报的新思路;⑤综合分析了现今各类地下水管理模型的特点及缺陷,将数学规划、数理统计、随机过程等与地下水变值系统理论相结合进行地表水地下水或多水源的联合优化调度,使模型更准确、更实用;⑥对保证地下水资源可持续开发的内部条件和外部条件进行了分析,内部条件主要是正确的资源观,科学的资源计算与评价方法,可靠的资源预测预报技术,可操作的资源管理措施,外部条件主要是高层发展思路、管理体制的变革、配套的政策法规、经济杠杆的调节、人文素质的提高、节水意识的增强及具体节水措施、人口增长的控制、水体污染的防治、生态的恢复和重建等;⑦从宇宙科学、地球系统科学及哲学的高度审视地下水资源的可持续开发;⑧指出了地下水资源可持续开发的进一步研究方向。

The first part is the introduction, which generally introduces the research purpose and significance of this thesis, the summary of the financial pre-warning researches both home and abroad, and the research main contexts and research methods; The second part is the comparison on the financial pre-warning methods existent, which compares the different methods by categories, makes a further analysis on the limits of existent methods, and proposes the improve thoughts of this research based on that; The third part is the basic theory, which makes a summary of the referent theories exerted on the research, and exposit the comparing mechanism of the grey prediction theory and the artificial neural network method concise; The fourth part is the frame work of the model, which illuminates the research designs step by step, such as the definition of the financial crisis, the method of sample select, the select and definition of the pre-warning variables, and makes an exposition of the establishment procedures of the whole models at last; The fifth part is the financial pre-warning based on the theory of grey prediction and artificial neural network, which mainly demonstrate the model establishment in the concrete, dividing into four part to carry out the part of pragmatic research integrally, building of indexes system, establishment of BP neural networks, dynamic financial pre-warning and test, analysis on the pre-warning result; The sixth part is conclusion, which sums up the main results of the whole research, clarifies the innovative points, and makes a discussion on the limits and future study directions of the research in this thesis.

其中,第一部分为导论,总括性概述本文的研究目的与意义,国内外研究综述,以及本文的研究内容和方法;第二部分为现有财务预警研究方法剖析,通过对现有预警方法进行分类比较,进一步分析现有预警方法的局限性,并在此基础上提出本文研究的改进思路;第三部分基本理论,对本文研究中运用的相关理论进行扼要概述,并简要阐述灰色预测理论与人工神经方法的融合机理;第四部分为模型研究框架,逐步阐释模型对财务困境的界定,样本数据的选取方法,预警变量的选取与定义等各个部分的研究设计,并对整体模型的构建步骤进行简要阐述;第五部分为基于灰色神经网络模型的财务预警,主要论述动态预警模型的具体实现过程,分模型指标体系的建立,BP神经网络的建立,动态财务预警与检验,以及预警结果分析四个部分全面阐述本文实证分析过程;第六部分为结论,总结本文研究得到的主要研究结论,以及本文研究中的创新之处,并对论文的不足与后续发展研究进行探讨。

For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发,本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台,实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能,使用复合文档技术和流压缩技术进行数据的存储,使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息,使用自定义哈希函数来提高运行速度,实验证明,该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求;通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间,加载在该空间的数据可以具有较好的鲁棒性,基于此,本文设计了一种利用汉字结构加载水印的文本数字水印方法,并使用汉字数学表达式平台将其实现;由于水印嵌入算法对于文本数字水印的鲁棒性至关重要,本文充分利用汉字数学表达式理论的优点,设计了一种文本分层的方法,并使用汉字数学表达式平台将其实现,使文本成为一个立体的空间,使嵌入在其中的数据具有更好的鲁棒性;最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上,结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法,经实验证明,该方法有良好的鲁棒性和较好的隐蔽性。

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