RUNGE-KUTTA_METHODS

作品数:63被引量:92H指数:4
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相关作者:刘梅林刘少斌王志勇李寿佛甘四清更多>>
相关机构:华东师范大学南京航空航天大学哈尔滨工业大学(威海)电子科技大学更多>>
相关期刊:《Journal of Computational Mathematics》《Advances in Aerodynamics》《Transactions of Nanjing University of Aeronautics and Astronautics》《Applied Mathematics and Mechanics(English Edition)》更多>>
相关基金:国家自然科学基金中国博士后科学基金国家重点基础研究发展计划国家高技术研究发展计划更多>>
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A class of twostep continuity Runge-Kutta methods for solving singular delay differential equations and its convergence被引量:1
《Journal of Systems Engineering and Electronics》2005年第4期908-916,共9页Leng Xin Liu Degui Song Xiaoqiu Chen Lirong 
An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditio...
关键词:CONVERGENCE singular delay differential equations two-step continuity Runge-Kutta methods. 
A Class of Parallel Runge-Kutta Methods for Differential-Algebraic Systems of Index 2
《Journal of Systems Engineering and Electronics》1999年第3期64-75,共12页Fei Jinggao(Beijing Institute of Computer Application and Simulation Technology, 100854, P. R. China) 
A class of parallel Runge-Kutta Methods for differential-algebraic equations of index 2are constructed for multiprocessor system. This paper gives the order conditions and investigatesthe convergence theory for such m...
关键词:MULTIPROCESSOR SYSTEM PARALLEL algorithm Runges-Kutta method Differential-algebraic SYSTEM 
Algebraic Stability of Multistep Runge-Kutta Methods
《Journal of Systems Engineering and Electronics》1995年第3期76-82,共7页Li Shoufu(Department of M athematics, Xiangtan University, Hunan, 411105, P.R.China) 
A series of sufficient and necessary conditions for the algebraic stability of multistepRunge-Kutta methods is obtained, most of which can be regarded as extension of the relevant results available for Runge-Kutta met...
关键词:Algebraic stability Multistep Runge-Kutta methods 
A Class of Explicit Parallel Multistep Runge-Kutta Methods
《Journal of Systems Engineering and Electronics》1993年第4期64-72,共9页Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. 3929, Beijing 100854, China 
In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and sta...
关键词:Runge-Kutta method Initial value problem. 
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