摘要
根据史料和数值实验证明，刘徽计算圆周率的“割圆术”开创了组合加速方法的先河，并由此引发出祖冲之的“缀术”文末以混沌学的倍周期分叉计算为例，说明这种技术在今日非线性科学的研究中仍有重要价值．
The historical materials and today's numerical experiments prove that “Cutting Eircle Method” forπ,developed by a chinese maathematist Liu Hui in the 3rd entury,is the beginning of the conbination-accelerating method and then resulting in Zu Chongzhi's“Zhuishu”(a conbinatorial technique).With its conclusion,this paper describes an example of computing the bifurcation with multiple-cycle of chaos so as to suggest that methoc still pssesses important value in nonlinear science nowadays.
出处
《数学的实践与认识》
CSCD
北大核心
1996年第4期315-321,共7页
Mathematics in Practice and Theory
