近似求解Cahn-Hilliard方程的拟谱方法

利用拟谱方法研究了非线性Cahn-Hilliard方程解的近似, 分析了半离散与全离散近似解的收敛性和稳定性, 并给出收敛速度的估计. 同时还讨论了半离散问题解的爆破现象.     

四阶非线性奇异抛物方程的有限元方法的误差估计

考虑了一类四阶非线性奇异抛物方程,给出了其变分问题及半离散和全离散格式;给出了半离散解的加权L2模及加权H2模误差估计;然后又给出了全离散解即C-N方法的加权L2模误差估计.     

具有非线性传导率的麦克斯韦方程的一个保能量混合有限元

本文针对具有非线性传导率的麦克斯韦方程构造了一个保能量的混合有限元. 其中，对麦克斯韦方程的一阶形式, 本文直接使用有限元外微分去离散空间变量, 得到保能量的半离散格式，进而通过一个二阶连续时间Galerkin方法 (CTG) 去离散半离散格式的时间变量，得到保能量的全离散格式. 本文中的半离散和全离散格式能够精确地保持磁场的严格无散条件，具有最优收敛阶. 数值算例验证了理论结果.     

广义Ginzburg-Landau方程的Legendre拟谱方法

利用Legendre拟谱方法对广义Ginzburg-Landau方程的Dirichlet问题构造了半离散和全离散逼近格式,并对半离散和全离散格式的解给出了误差估计.     

一类半线性波动方程的整体吸引子

本文考虑了一类一维带阻尼的半线性波动方程,建立了半离散的Legerldre谱格式,分析了由这种谱格式生成的离散系统的动力性质,在有限时间段（0,T],证明了这个离散动力系统的整体吸引子的存在性,并证明了半离散的Legendre谱格式解的稳定性和收敛性。     

中立型延迟抛物方程的有限元分析

考虑一类中立型延迟抛物方程的有限元分析.基于线性有限元空间,构造中立型延迟抛物方程的半离散和两个全离散有限元格式.借助投影算子作为分析工具,证明了半离散和全离散有限元格式解的L~2范数误差估计.通过数值实验验证了理论分析结果.     

具有软硬件可修复计算机系统解的半离散化

为了解决利用数值计算研究具有软硬件可修复计算机串联系统模型的问题,利用半离散化逼近方法将一个抛物型偏微分方程化为矩阵常微分方程,且后者在许多问题上可以作为原问题的近似.将半离散算法应用到具有软硬件可修复计算机系统模型中,对系统中的修复率进行离散,得到了该系统的半离散化模型,运用泛函分析理论证明了半离散算法的收敛性,结果表明:离散后方程的解收敛于原方程的解,从而为该模型进一步的数值计算提供了理论基础.     

半线性带阻尼波动方程的有限元方法

给出了半线性带阻尼波动方程的半离散和全离散有限元逼近格式,并对其进行了理论分析,得到了最优Ｌ＾２和Ｈ＾１误差估计。     

一类半线性波动方程的整体吸引子

本文考虑了一类一维带阻尼的半线性波动方程,建立了半离散的Legendre谱格式,分析了由这种谱格式生成的离散系统的动力性质,在有限时间段(0,T],证明了这个离散动力系统的整体吸引子的存在性,并证明了半离散的Legendre谱格式解的稳定性和收敛性。     

均匀棒纯纵向运动方程的半离散有限元方法

研究了均匀棒纯纵向运动方程半离散有限元法,利用椭圆投影,获得了半离散有限元逼近的一些最优误差估计。     

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     

Call for Papers

<正>"The Journal of Shanghai Normal University:Mathematics"is published by Shanghai Normal University as regular issues of The Journal of Shanghai Normal University each year from 2014 in English.The editors-in-chief of the issues are professors Yuhao Cong and Maoan Han.The Journal of Shanghai Normal University was started in 1958 with