延迟积分微分方程多步RK方法的渐近稳定性

基于延迟积分微分方程(DIDEs)的理论解渐近稳定性的充要条件，运用求解常微分方程的具有A-稳定性的多步RK方法求解相应的DIDEs的渐近稳定性．将有关文献的工作拓展到多步龙格-库塔(RK)方法，并在其中讨论了对应的延迟微分方程(DDEs)的多步RK方法的渐近稳定性。     

求解延迟动力系统的一类并行预校算法

利用牛顿向后插值公式作预估式且利用单步龙格－库塔方法作校正式,构造了一类用于解延迟动力系统（DDEs)的并行预校龙格－库塔算法,并给出了方法的局部误差分析,理论分析和数值试验表明该算法对非线性高维延迟系统的计算具有良好的效果。     

自然Runge-kutta法关于一类延迟微分方程的渐近稳定性

分析了自然龙格－库塔法关于延迟微分方程系统的渐近稳定性。并基于龙格－加塔方法的A（α）－稳定性，在适合的插值条件下，得出了相应延迟问题的数值方法是渐近稳定的。     

多步Runge-Kutta法求延时微分方程的P_m-稳定性

给出了多步Runge－Kutta法（MIRK）解延时微分方程（DDEs）的Pm-稳定性．着重研究此法用于下列具有m个延时量的线性试验方程时的稳定性态。u’（t）＝au（t）＋（t－τj），t≥0．u（t）＝（t），t≤0．其中a，bj（j＝1，2，…，m）　∈C，τm≥τ(m－1)≥…≥τ＞0，（t）给定．证明了m＝2时，MIRK法是P2－稳定的．对于m＞2，得到同样的结果（Pm－稳定）．     

中立型多滞量微分系统Runge-Kutta方法的A(α)稳定性分析

在中立型多滞量线性微分方程系统的理论解的基础上，讨论Runge-Kutta方法的稳定性，得到一个A（α）稳定的充分条件。     

超导约瑟夫森结直流I-V曲线的数值计算

基于超导约瑟夫森结的RCSJ模型的解析式为一非线性的二阶微分方程，对于该微分方程直接求解析解比较困难，故采用四阶龙格库塔法进行数值计算求解。经反复调用龙格库塔函数可得出约瑟夫森结的I—V曲线。并且，对这一求解过程及其关键部分进行了阐述，数值计算结果定性地解释了实验结果。     

四阶龙格-库塔法在捷联惯导系统姿态解算中的应用

捷联式惯导系统相对于平台式惯导系统姿态解算要复杂得多,捷联系统通过提取陀螺仪和加速度计的测量值实时进行姿态矩阵更新,从而获得载体的姿态信息。介绍了利用四阶龙格—库塔法解捷联姿态微分方程的方法,并以典型圆锥运动作为输入进行仿真分析,适当地改变圆锥运动参数,检验该姿态算法的准确性及精度.仿真结果表明,在圆锥运动环境下四阶龙格—库塔法的姿态解算的精度随着计算周期τ的减小而增大,随着锥运动参数α和ω的增大而减小。     

复杂情况下水库调洪数值解法

水库调洪数值解法是对微分方程ｄＺ／ｄｔ＝（Ｑ（ｔ）－Ｓ（Ｚ））／Ｆ（Ｚ）的求解过程。本文提出了在复杂泄流条件下的四阶龙格－库塔解法。大伙房水库等应用实践表明达到满意的计算精度，计算速度比传统方法显著地加快，增加了洪水预报的预见期。     

一道数学建模问题的Matlab求解方法

借助于Matlab工具箱中四阶龙格-库塔法求解微分方程的工具,对一类数学建模问题进行了研究。通过对渡河问题的解析解和数值解进行图像和理论分析,说明了四阶龙格-库塔法对求解此类数学建模问题的有效性和实用性。     

多步龙格-库塔方法的τ1-稳定性

分析了标量延迟微分方程系统渐近稳定性的不同条件，给出了与延迟量τ有关及不依赖于延迟量τ有关的条件下，对多步龙格－库塔方法的渐近稳定性进行了分析，定义了一种新的数值稳定性，即τ1－稳定性，在不同的条件下，验证了该稳定性。     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Features of Women's language

Language is a means of verbal communication. People use language to communicate with each other. In the society, no two speakers are exactly alike in the way of speaking. Some differences are due to age, gender, statue and personality. Above all, gender is one of the obvious reasons. The writer of this paper tries to describe the features of women＇s language from these perspectives： pronunciation, intonation, diction, subjects, grammar and discourse. From the discussion of the features of women＇s language, more attention should be paid to language use in social context. What＇s more, the linguistic phenomena in a speaking community can be understood more thoroughly.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

Achieving Unusual States of Matter Under High Pressure

正The periodicity of the elements and the non-reactivity of the inner-shell electrons are two related principles of chemistry,rooted in the atomic shell structure.Within compounds,Group I elements,for example,invariably assume the+1 oxidation state,and their chemical properties differ completely from those of the p-block elements.These general rules govern our understanding of chemical structures and reactions.Using first principles calcula-     

Exchange-Correlation and Electronic Excitation Energies from Pairing Matrix Fluctuations

We have developed an adiabatic connection to formulate the ground-state exchange-correlation energy in terms of pairing matrix linear fluctuations.This formulation of the exchange-correlation energy opens a new channel for density functional approximations based on the many-body perturbation theory.We illustrate the potential of such approaches with an approximation based on the particle-particle Random Phase Approximation(pp-RPA).This re-     

Density Functional Theory for the Response of Periodic Systems to Electric Fields Based on the Vector Potential Approach

正The electronic and nuclear(structural/vibrational)response of 1D-3D nanoscale systems to electric fields gives rise to a host of optical,mechanical,spectral,etc.properties that are of high theoretical and applied interest.Due to the computational difficulty of treating such large systems it is convenient to model them as infinite and periodic(at least,in first approximation).The fundamental theoretical/computational problem in doing so is that     

On the Thermodynamic Limit for Responses to Static Electromagnetic Fields

For molecular systems,the quantum-mechanical treatment of their responses to static electromagnetic fields usually employs a scalar-potential treatment of the electric field and a vector-potential treatment of the magnetic field.Although the potential for each field separately is associated with the choice of an(unphysical)origin,the precise choice of the origin for the electrostatic field has little consequences for the results.This is different for the