一类广义的Kdv方程的显式差分解

本文考察一类具耗散的广义KdV方程组■ (gradφ(■))_x ■_(xxx)-α■_(xx) γ■ =■(x,t,■)的周期初值问题的显式差分格式．利用有界延拓法证明了该差分格式的收敛性与稳定性,并给出了算法和数值例子．     

对体育教育专业篮球普修课教学现状的思考

通过对体育教育专业篮球普修课教学目标、教学内容、教学模式以及对学生的成绩评价进行思考和令尊，结合《全国普通高校学校体育教育本科专业课程方案》对培养目标的规定，提出了对体育教育专业篮球普修课的培养目标进行重新定位，优化教学内容、优化教学模式、优化教学手段、优化评价体系，培养出合格的21世纪体育教师。     

从民问借贷的保护机制看惯例的经济价值

运用博弈论理论分析了民间借贷的保护机制——惯例形成的根据。进一步研究了惯例的经济价值——节省社会交易成本，并实现了非正式制度的资源配置功能。     

Caristi 不动点定理的推广及应用

本文推广了古典的Garisti不动点定理,作为应用,古典的Ekeland变分原理得到了推广,并且证明了推广的Garisti不动点定理和推广的Ekeland变分原理是等价的．     

WAVELET TRANSFORM IN FRACTAL IMAGE ENCODING

This paper presents some results of the relation between wavelet transform and fractal transform. The wavelet transform of the attractor of fractal transform posseses translational and scale invariance. So we speed the fractal image encoding by testing the invariance of the wavelet transform appropriate for image encoding. The classfication scheme of range blocks by wavelet transform is given in this paper.     

化学与社会:跨学科视角下的通识课教学新探索

从通识教育的时代要求和化学的学科地位出发，首先讨论了在化学类通识课程建设中引入跨学科视角的意义和可操作性。随后以通识课"化学与社会"的建设为例，系统地分享了引入跨学科视角后的课程设计理念和内容框架建设，通过课堂实施方案的论述和特色实例的分享总结了课程实施经验，并以学生访谈资料分析讨论了课程取得的效果和需要进一步完善的方向。以期为跨学科理念在化学教育教学实践中的转化和落地开拓思路、提供经验。     

Simulation of13C NMR chemical shifts for polychlorinated and polybrominated oxybenzenes with two-particle increment scheme

A two-particle system of OY-Cl and OY-Br mixed increments for predicting¹³C NMR chemical shifts of polyhalogenated polyoxybenzenes has been developed. It has been found that only theortho- and para-interactions of the OY and Hal substituents contribute significantly to the¹³C chemical shifts and that theortho-effects of the OY located between Ha1 and H and those of the OY located between two Ha1 atoms are different. Additional effects are due to solvating solvents. The increment scheme is predictive over the whole class of compounds under consideration and may be realized on personal computers.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 4, pp. 617–624, April, 1994.     

Hydration scheme of uracil and cytosine

The comparison of a pure electrostatic approximation and complete supermolecule SCF ab initio computations on the hydration scheme of uracil and cytosine shows that the electrostatic procedure is capable to reproduce the general aspects of the results of the supermolecule treatment provided that different distances of shortest approach be adopted for the distances between the oxygen of water and the nitrogen of NH₂ or NH groups or the oxygen of C-O groups on the one hand and the oxygen of water and pyridine-type nitrogens on the other hand.     

Modelisation of the Electric Field Linear Response of an Infinite Aggregate of All-Trans Hexatriene Chains by Electrostatic Interaction Model

A classical electrostatic polarization scheme using the additive distribution procedure has been applied to determine the longitudinal polarizability of an all-trans hexatriene molecule in an infinite stretched fiber. The parameters have been derived from ab initio CPHF/6-31G calculations and the electrostatic scheme has been validated via comparison with ab initio results on small clusters. Upon packing the polarizability of all-trans hexatriene increases by 7%. This small increase results from the balance between the enhancement of the polarizability due to collinear packing and the reduction associated with lateral packing.     

耦合Gross-Pitaevskii方程的高效保质量守恒格式

该文为耦合Gross-Pitaevskii方程提出了一个新的保质量守恒格式.首先对空间导数利用高阶紧致格式离散得到半离散格式;然后在时间方向上利用基于外推的Crank-Nicolson格式离散,得到一个半显式的数值格式,然而此格式不能保持GP方程固有的质量守恒,因此,对格式得到的数值解利用投影方法进行修正,使其满足离散质量守恒;最后通过数值实验验证了该格式具有高精度以及保持质量守恒.