北京科技大学胡广大教授的学术报告

发布时间:2015年06月01日 作者:唐颖   消息来源:科研办    阅读次数:[]

报告题目:A Modified Version of Explicit Runge-Kutta Methods for Preserving Multiple First Integrals 

报告时间:6月2日(星期二)下午4:00-5:00 

报告地点:数学院一楼145学术报告厅 

摘要:In this paper, explicit Runge-Kutta methods are investigated for numerical solutions of nonlinear differential equations with multiple first integrals. The concept, ε−preserving is introduced to describe the first integrals being approximately retained. Then a modified version of explicit Runge-Kutta methods is presented. The modified method is iterative. Since the modified Runge-Kutta method is explicit, with respect to the computational effort, it is superior to implicit numerical methods in literature. The order of the modified Runge-Kutta method is the same as the standard Runge-Kutta method, but it is superior in preserving the first integrals to the standard 



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