A class of twostep continuity Runge-Kutta methods for solving singular delay differential equations and its convergence  

作　　者：Leng Xin Liu Degui Song Xiaoqiu Chen Lirong 

机构地区：[1]Beijing Inst. of Computer Application and Simulation Technology, Beijing 100854, P. R. China [2]Beijing Inst. of Applied Physics and Computational Mathematics, Beijing 100088, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2005年第4期908-916,共9页系统工程与电子技术（英文版）

摘　　要：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 conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient.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 conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient.

关 键 词：CONVERGENCE singular delay differential equations two-step continuity Runge-Kutta methods. 

分 类 号：O175[理学—数学]