数值方法

This paper gave the detailed reviews on previousresearch results on subdrainage home and abroad,studied the effect and mecha-nism of subdrainage facilities on drainage,waterlogging reduction,salt removeas well as nitrogen fertilizer application under subdrainage conditions by use oflysimeter experiments and field trials.Numerical modelling on water movementin heterogeneons multilayered soils as well as the optimization layout of spacingsand depths of PVC subdrain was also investigated in this paper by numerical sim-ulations.

本文在论述国内外暗管排水研究进展的基础上，采用蒸渗仪控制试验，田间试验和数学模型数值计算相结合的方法，对塑料暗管的排水、降渍、除盐效果及其机理和塑料暗管排降条件下小麦的N肥运筹进行了深入研究，并对排降条件下试区非均质分层土壤水分运动的数值模拟和塑料暗管埋深和间距的经济优化布局模式进行了探讨。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

Results Analysis of the expression of proteins of JAK2 in leukemic blasts, there was no detectable constitutive expression of phosphorylated JAK2 in all the AML samples analyzed; Furthermore, we could detect a constitutive activation of STAT 3 by immunoprecipitation of the targeted protein in primary leukemic blasts from 3 of 11 AML patients without any cytokine treatment; Pretreatment clinical characteristics, and treatment regimens did not differ significantly between patients with and without constitutive STAT3 activity, there was not significant relation between the constitutive activation of STAT3 and the FAB subvariety and chromosome karyotype; However, the 3 patients with constitutive STAT3 activity seemed to have adverse treatment outcome, one did not show remission, the other two patients relapsed shortly after remission; Consistent with the above-mentioned result, leukemic blasts from the 3 samples with constitutive expression of STAT3 showed higher percentage of spontaneous apoptosis and S-phase cells.

在实验研究基础上，本研究进一步运用免疫沉淀和Western Blot印迹方法，检测AML患者原代细胞JAK2和STAT3活化情况，并分析了STAT3活化与AML患者预后有关指标改变的关系。结果我们的初步研究发现，11例AML患者中，有3例呈现STAT3组成型活化（STAT3阳性，下同），无一例呈JAK2组成型活化。上述3例STAT3组成型活化与FAB分型和染色体核型改变未见明显相关性；在此3例患者中，1例未取得缓解，另外2例虽然取得短暂缓解，但均在二个月内复发。上述3例STAT3阳性AML患者S期白血病细胞百分率数值较组高，而凋亡率数值较低。

Made the numerical simulations and experimental verification to the flow characteristics of J90 supercharge compressor using numerical simulation method.

采用数值模拟方法，对 J90增压器压气机内的流动和特性进行了数值模拟和实验验证。

In the first chapter, the application background and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a new class of smoothing Newton method is detailed, also the global and local superlinear convergence is established for the method. In the 4th chapter, we propose some numerical experiment, and the results show the effectiveness of the proposed algorithms.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章介绍了与互补问题相关的一些定义以及相关的定理和推论；第三章是本文的重点，构造了求解互补问题的一类光滑牛顿法，从理论上证明了算法的全局收敛性和局部超线性收敛性；第四章是数值实验，通过数值试验的结果进一步证明了算法的可行性和有效性。

The method can solve numerical problems as well as symbolic problems in which the coefficients are symbolics other than numerical values.

本文提出的这一方法用来求解数值模型和符号模型（即已知系数是符号而不是具体数值）的符号形式表达的最优解和/或求解问题的全部最优解。

This thesis will be expanded from two aspects: first, delta-sequence obtained by cubic spline interpolation cardinal function showed the properties of symmetry, Riesz basis and interpolation. Non linear convection diffusion equation (Burgers′equation) was used as an example. Then we modified this delta-sequence to improve the attenuation, the same example was used in numerical application.

在小波方法与PDE算法相结合方面，本文主要从两方面入手：首先是以样条插值基函数为基础构造δ-序列核，以非线性对流扩散方程为例给出了一种数值算法；进而对三次样条插值基函数进行改进，构造新的具有更快衰减性质的δ-序列核，同样以非线性对流扩散方程为例验证了新函数在数值求解中的有效性。

The research result shows that the relative error between the calculation result and the measurement result is less than 9.034%.This numerical calculation method can be used to calculate and analyze the temperature field of the power train compartment body and can meet the needs of engineering applications basically.

研究结果表明，动力舱体温度场的计算结果与测试结果的相对误差小于9.034%，所使用的数值计算方法可用于动力舱体温度场的数值计算及分析，基本满足工程设计的需要。

The constructing process of the algorithms itself indicate that they are brevity and have definite geometric meaning, scientific iterative terminal criterions and no strict requirement to function. Finally, some digital experimentation is presented to indicate the algorithms application in solving the problem of maximum of function, transcendental equation,integer programming and so on. The results indicate that the algorithms have more global and more adaptability compared to traditional algorithms and have more calculating efficiency and more scientific iterative terminal criterions compared to some present popular artificial intelligence algorithms.

算法的构造过程本身表明了该算法简单明了、几何意义明确、迭代终止准则科学、对函数的要求较低；最后举了几个数值试验的例子以说明该类算法在求函数的最值，解超越方程以及整数规划等问题中的应用；数值试验的结果标明该算法比单纯由"微分"思想演化而来的传统算法有更好的全局性和对问题的更广泛的适应性，比现在流行的一些人工智能方法有更高的运算效率和更适当的迭代中止准则。

In order to improve accuracy and avoid the breakup while computing, we introduce the function transformation and variable transformation of the numerical solution into it, and this also guarantees dependability of the numerical result.

为了提高计算精度、避免计算过程出现崩溃，我们引入了数值解的函数变换和自变量变换的方法，这也保证了数值结果的可靠性。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。