解一维抛物方程的基于应力佳点的二次有限体积元法

构造了求解一维抛物问题的一种新的Lagrange型二次全离散有限体积元法, 取应力佳点作为对偶单元的节点, 试探函数空间取Lagrange型二次有限元空间, 检验函数空间取分片常数函数空间. 证明了新方法具有最优阶的H¹模和L²模误差估计, 并讨论了H¹模的整体超收敛估计及在应力佳点导数的逐点超收敛估计. 数值实验验证了理论分析结果.     

解两点边值问题的基于应力佳点的二次有限体积元法

构造了求解两点边值问题的一种新的Lagrange型二次有限体积元法, 取应力佳点(Gauss点)作为对偶单元的节点, 试探函数空间取Lagrange型二次有限元空间、 检验函数空间取相应于对偶剖分的分片常数函数空间. 证明了新方法具有最优的H¹模和L²模误差估计, 讨论了在应力佳点导数的超收敛估计, 并通过数值实验验证了理论分析结果.     

基于Lobatto-Gauss结构的五次元有限体积法

构造基于Lobatto-Gauss结构的有限体积法, 试探空间取六次Lobatto多项式零点为插值节点的Lagrange型五次有限元空间, 检验函数空间取五阶Gauss多项式零点为插值节点的分片常数空间. 证明了这种格式的稳定性和收敛性以及在应力佳点导数的超收敛性, 并通过数值实验验证了理论分析结果. 结果表明, 所给方法具有最优的H¹模和L^2模误差估计.     

一维Lagrange四次元有限体积法的超收敛性

通过取等距节点四次Lagrange插值的导数超收敛点作为对偶单元的节点, 取Lagrange型四次有限元空间为试探函数空间, 取相应于对偶剖分的分片常数函数空间为检验函数空间的方法, 得到了求解两点边值问题的四次元有限体积法, 证明了该方法具有最优的H¹模和L²模误差估计, 并讨论了对偶单元节点的导数超收敛估计. 数值实验验证了理论分析结果.     

一类非线性抛物方程的有限元分析

利用双线性元给出一类非线性抛物方程的有限元逼近格式,在半离散格式和线性化的向后欧拉全离散格式下得到了原始变量u的H¹模的O(h1模的O(h²)阶和O(h2)阶和O(h²+τ)阶的超逼近性质(h、τ分别表示空间剖分参数和时间步长),最后给出了一个数值算例加以验证.     

两 个 轴 异 面 的 管 道 拼 接

证明二轴异面的圆管在其任意平面截口处通常不能用三次代数曲面GC¹拼接, 提出构造轴线与给定二圆管的轴分别共面的辅助圆柱 , 并利用二轴共面的吴文俊公式实现了给定圆管的分两段的三次GC¹拼接.     

多复变中Dp和H∝及βp空间的一些关系

在 Cⁿ中的单位球上, 讨论了Dirichlet 型空间D_p和广义Bloch空间β^q的相互包含关系以及D_p 和Hardy空间H^∝之间的点乘子,根据 p 的一些不同情形对M(H^∝, D_p ) 和 M( D_p , H^∝) 进行了刻划.     

荷移光度法测定烟草中烟碱的含量

研究了7,7,8,8-四氰基对二次甲基苯醌(TCNQ)与烟碱的荷移反应, 确定 了反 应条件. TCNQ与烟碱形成络合物的反应在743 nm和842 nm处有较强光吸收, 表观摩尔吸 光 系数分别是4.84×10³ L· mol^－１·cm^－１和8.82 ×10³ L· mol^－１·cm^－１. 在乙醇介质中, 烟碱 的浓度在3～35 mg/L与吸光度关系符合朗伯-比尔定律; 该方法重现性好、 灵敏度高、 操 作简单 , 用于测定烟草中烟碱含量, 精密度好, 相对标准偏差为1.4%(n=9), 烟碱的回收 率为98%～103%, 结果令人满意.     

望都夏季大气细粒子中水溶性无机盐及相关气态前体物的观测研究

采用气态污染物与气溶胶在线测量装置(GAC), 于2014年夏季对保定市望都县大气PM_2.5中水溶性无机盐及其相关气态污染物进行为期30余天的在线测量。结果表明: 观测期间站点为富氨环境,PM_2.5平均质量浓度为68.2 μg/m³, GAC测得的SO₄^2-, NO₃^-, Cl^-, NH₄⁺ 和K⁺分别是12.6, 8.5, 1.4, 11.7 和0.7 μg/m³, 占PM_2.5总组分的51%。上述观测参数均呈现明显的日变化:SO₂, SO₄^2-, NO₃^-, NH₄⁺ 和Cl^-均在早晨出现峰值, HCl 和HNO₃的峰值出现在下午, 而NH₃主要呈现昼夜变化。硫氧化速率(SOR)和氮氧化速率(NOR)的分析结果表明站点大气存在较强烈的二次转化过程, SOR和NOR的平均值分别为0.43 和0.22。SOR与NOR的变化特征显示, 气相氧化和液相反应均对颗粒物无机盐二次转化速率有显著贡献。     

基于AOD数据和随机森林模型估算河南省ρ(PM2.5)

基于融合的深蓝/暗目标气溶胶光学厚度数据集构建了随机森林(RF)、地理加权回归(GWR)和线性混合效应(LME)模型估算河南省的ρ(PM_2.5),通过十折交叉验证评价模型性能.结果表明, RF模型估算的河南省ρ(PM_2.5)精度优于其他模型,其中RF模型月数据的R²比GWR和LME模型分别高0.26、0.27, R_MSE分别低6.56、5.32μg/m³; RF模型季节数据的R²比GWR和LME模型均高0.24, R²MSE分别低3.13、4.31μg/m³.利用RF模型估算河南省2017年的ρ(PM_2.5),冬季最高, R最高,R_MSE最大;春、秋季次之;夏季最低, R²和R_MSE最小,空间分布特征为北高南低.     

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.     

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     

An affordable accurate evaluation of the binding conformations predicted by molecular docking studies in bio-system

Franck-Condon factors bridge the gap between theoretical modeling and experimental observations for molecular electronic spectroscopy and electron transfer.Under the displaced harmonic oscillator approximation,multidimensional Franck-Condon factors are decomposed into a product of many one-dimensional(1D)Franck-Condon(FC)factors,and each 1D-FC factor is associated with one Huang-Rhys factor that determines the leading contribution of     

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     

Journal of Donghua University ( English Edition) Contents of Volume 31

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