Quasilinear singularly perturbed problem with boundary perturbation

A class of quasilinear singularly perturbed problems with boundary perturbation is considered. Under suitable conditions, using theory of differential inequalities we studied the asymptotic behavior of the solution for the boundary value problem.     

关于开口弧段上的带根号的Riemann边值问题的探讨

探讨了带次方根的边值问题在一条开口光滑弧线上的解,通过在开口弧线上对未知函数结构的分析,把带次方根的Riemann边值问题化为一般的Riemann边值问题,并给出了它的解和可解条件.     

基于广义Adams边值法的循环预条件解微分方程

Chan和Bertaccini等提出使用循环矩阵作为预条件矩阵的GMRES方法来求解由边值法(BVM)离散常微分方程初值问题的线性系统是优于GMRES方法的.本文基于广义Admas法(GAMs)离散常微分方程初值问题的线性系统中矩阵的双对角形式,提出了一类新的循环预条件矩阵来加速GMRES的收敛性,并且从理论上证明了方法的收敛性,数值实验表明了这种方法的有效性.     

Transforming traditional models of initial teacher education through a mandatory experiential learning programme

This paper reports on the impact of a compulsory credit-bearing experiential learning (EL) block embedded into an initial teacher education (ITE) programme in Hong Kong. Student teachers engage in extended participation with community-based projects, aimed at enhancing their understanding of real-world environments, expanding their capacity to integrate theory and practice, and broadening their global outlook. The projects include community placements in Hong Kong, as well as regional learning opportunities. Qualitative data from a hundred participants reveal important outcomes in terms of pedagogical development, students’ understanding of diverse others and enhanced reflective practices. The paper attends to global changes in education.     

正则函数的一类Hilbert边值问题

文章主要研究了上半平面内正则函数的一类Hilbert边值问题。首先给出了上半平面内正则函数的一类新的Hilbert边值问题的提法,然后通过把Hilbert边值问题转化为Riemann边值问题的方法,得到了上半平面内正则函数的Hilbert边值问题的唯一解。     

Optimal boundary control of heat conduction problems on an infinite time domain by control parameterization

The present paper deals with an optimal boundary control problem in which the process of systems under consideration is governed by a linear parabolic partial differential equation over an infinite time interval. The objective of the paper is to determine the optimal boundary control that minimize a given energy-based performance measure. The performance measure is specified as a quadratic functional of displacement and a suitable penalty term involving the boundary controls. In order to determine the optimal boundary controls, the problem with boundary controls are converted into a problem with distributed controls. The modal space technique is then used to reduce the system into the optimal control of time invariant lumped parameter system. The associated system of uncoupled first order initial value problems is solved in terms of controllers. Next step deals with the computation of the control and trajectory of the linear time-invariant lumped parameter. For this we approximate the controllers by a finite number of orthogonal exponential zero-interpolants over the interval [0,∞). The resultant performance index after using the optimality condition leads to a system of linear algebraic equations. The suggested technique is easy to implement on digital computer. We provide a numerical example to demonstrate the applicability and efficiency of the proposed approach.     

ISPH中的固壁边界的处理

介绍了ISPH（incompressible Smoothed Particle Hydrodynamics,ISPH）的原理,以及SPH的一些基本原理和基本公式后,侧重介绍ISPH的固壁边界的处理方法。通过模拟Couette流,并与WCSPH（Weakly Compressible SPH）的结果及级数解作对比,验证了这种处理方法的有效性。     

一种视频镜头边界检索方法及其应用

提出了一个基于关键区域色彩矩阵的视频镜头检测方法,详细地描述了这种方法的原理,并比较了该方法与其它方法的优缺点,最后阐释了该方法在视频内容检索系统中的运行策略。     

创新生态系统:概念差异、根源与再探讨

创新范式从线性创新发展到创新系统再到如今备受重视的创新生态系统,各界均展开了丰富研究。通过对创新生态系统概念的梳理,发现到目前为止学界对概念的理解由于学科来源和理论视角的差异并未达成共识,针对此问题文中提出差异根源为系统主体的异质性和多样性,边界的模糊和流动性特征,并进一步总结概念的优化进展情况,最后在此基础上提出：创新生态系统是为了实现价值共创以企业为核心的创新组织之间、创新组织与创新环境之间形成协同创新的共存共生共荣的动态网络系统,并强调两个创新点：“有限隐喻”和对“用户”的重视。     

讨论分段函数在分界点处极限、连续性及导数的定理

文章通过阐述分段函数的本质特征,给出讨论分段函数在分界点处极限、连续性及导数的定理,解决在讨论分段函数的极限、连续性及导数时,为什么要在分段函数的分界点处进行讨论以及怎样讨论的问题.