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微分方程右函数间断及其处理方法 被引量:4

DISCONTINUITIES OF RIGHT-HAND FUNCTIONS IN DIFFERENTIAL EQUATIONS AND THEIR TRATEMENT
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摘要 §1.引言 现代电气、化工、生物工程和航天飞行器、航空飞行器、核反应工程等都是复杂的系统工程.在这类工程的科学研究和工程设计中,经常需要用常微分方程组的初值问题来建立系统运动行为的数学模型.为了获得研究和设计的数据。 Abstract In this paper the relationship between discontinuities for the solution ofordinary differential equations and that for condition functions are discussed. Theconception and method of extension processing for discontinuities are presented. It isproved that the zero of a condition function with extension processing is the zeroof the condition function, which is a discontinuity point. The algorithms of proces-sing discontinuities are constructed, and numerical experiments show that the algorit-hms are efficient.
出处 《计算数学》 CSCD 北大核心 1991年第3期315-326,共12页 Mathematica Numerica Sinica
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  • 1刘德贵 汤铭端.间断动力系统数值仿真算法(上)[J].系统工程与电子技术,1987,9(7). 被引量:1
  • 2王仁宏.数值逼近[M].北京:高等教育出版社,2003. 被引量:17
  • 3李荣华,冯果忱.微分方程数值解法[M].北京:高等教育出版社(第三版).2002. 被引量:1
  • 4黄振全,蒋珉,陈志武.间断动力学系统实时仿真的分段组合算法[J].系统仿真学报,2007,19(21):4881-4883. 被引量:1
  • 5Kantorovich L V. A method of approximate solution of partial differentia equations [ J ]. Doklady, Akademii, Nauk SSR, Ⅱ 1934:532 - 536. 被引量:1
  • 6Kantorovich L V,Akilov G P. Functionnal analysis in normed spaces[ M]. New York, Pergamon,1964. 被引量:1
  • 7Shindler A A. Some theorems of general theory of approximate methods of analysis and their application to the methods of col-location methods and galerkin methods [ J ]. Sib Matem Zh, 1967,8(2). 被引量:1
  • 8Shindler A A. Rate of convergence of the enriched collocation method for ordinary differential equations [ J ]. Sibirskii Math- ematicheskii Zhurnal, 1969 (10) :229 - 233. 被引量:1
  • 9Vainniko G M. On the stability and convergence of the collo- cation method [ J ]. Differentsial' nye Uravneniya , 1965 : 244 - 254. 被引量:1
  • 10陈丽容,刘德贵.求解刚性常微分方程的并行Rosenbrock方法[J].计算数学,1998,20(3):251-260. 被引量:14

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