作为数学工作者和产业界专业人士共同探讨实际问题的数学建模及其解决方案的一种国际合作形式,诞生40多年的Study Group with Industry(工业与应用数学国际研讨会)活动遍及世界各大洲,为数学工作者参与高技术领域的创新、产业部门发现...
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作为数学工作者和产业界专业人士共同探讨实际问题的数学建模及其解决方案的一种国际合作形式,诞生40多年的Study Group with Industry(工业与应用数学国际研讨会)活动遍及世界各大洲,为数学工作者参与高技术领域的创新、产业部门发现和培养高素质人才提供了有效的平台。在中国科学院院士李大潜、英国皇家学会会员(Fellow)***的大力推动下,这项活动在中国的影响力正在逐步扩大[1]。
针对文献(Gordon *** cutting and augmentation：An area-preserving method for smoothing polygons and *** Aided Geometric Design,2010,27(7)：551-562)中给出的CCA1算法做了改进,提出了曲线保面积细分算法——CCA(k)细分算法.该...
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针对文献(Gordon *** cutting and augmentation：An area-preserving method for smoothing polygons and *** Aided Geometric Design,2010,27(7)：551-562)中给出的CCA1算法做了改进,提出了曲线保面积细分算法——CCA(k)细分算法.该算法将CCA1中的割角由等腰三角形推广至割角两边与特征多边形的相邻两边成比例,从而使极限曲线能更好地契合初始的特征多边形.文中还推导了CCA(k)算法的递推关系式和割比的适定取法,并证明了极限曲线的收敛性和连续性.数值实例表明,对于大多数的封闭多边形,CCA(k)算法都能得到理想的细分结果.
One dimensional periodic hopping model is useful to understand the motion of microscopic particles in thermal noise environment. In this research, by formal calculation and based on detailed balance, the explicit expr...
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One dimensional periodic hopping model is useful to understand the motion of microscopic particles in thermal noise environment. In this research, by formal calculation and based on detailed balance, the explicit expressions of the limits of mean velocity and diffusion constant of this model as the number of internal mechanochemical sates tend to infinity are *** results will be helpful to understand the limit of the one dimensional hopping *** the same time, the work can be used to get more useful results in continuous form from the corresponding ones obtained by discrete models.
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