ISEC项目下线性代数双语教学研究与实践

随着全球经济一体化,教育国际化的迅猛发展双语教学成为全球化教育发展的客观要求以及国际化进程的必然结果。国家及很多省市教育行政管理部门顺应时代需求,都进行了双语教学改革。我国ISEC项目处于起步阶段,所以要形成完整的理论体系,指导教学实践。该文根据ISEC项目下线性代数双语教学的实践,从师资队伍、教学资源、教学方法等方面对线性代数双语教学进行了探讨和分析,使双语教学理论更有指导性和针对性,教学实践更加符合实际,使更多的老师和学生能够收益。     

求解绝对值线性互补问题的一种广义牛顿法

本文研究了在绝对值互补问题的矩阵A-Dx正定的条件下,求解绝对值互补转化为求解凸二次函数极小值问题,并且利用该转化提出了一个求解绝对值互补问题的广义牛顿算法,证明了该算法的全局收敛性,并通过数值实验表明本文所提出的算法的有效性.     

Time Periodic Electroosmotic Flow of The Generalized Maxwell Fluids in a Semicircular Microchannel

Analytical solutions are presented using method of separation of variables for the time periodic electroosmotic flow (EOF) of linear viscoelastic fluids in semicircular microchannel. The linear viscoelastic fluids used here are described by the general Maxwell model. The solution involves analytically solving the linearized Poisson-Boltzmann (P -B) equation, together with the Cauchy momentum equation and the general Maxwell constitutive equation. By numerical computations, the influences of electric oscillating Reynolds number Re and Deborah number De on velocity amplitude are presented. For small Re, results show that the larger velocity amplitude is confined to the region near the charged wall when De is small. With the increase of the Deborah number De, the velocity far away the charged wall becomes larger for large Deborah number De. However, for larger Re, the oscillating characteristic of the velocity amplitude occurs and becomes significant with the increase of De, especially for larger Deborah number.