| 微分代数问题的一类数值算法 |
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| 引用本文： | 费景高. 微分代数问题的一类数值算法[J]. 计算数学, 1994, 16(1): 47-58 |
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| 作者姓名： | 费景高 |
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| 作者单位： | 北京计算机应用和仿真技术研究所 |
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| 摘 要： | 其中y和f的维数为l,u和g的维数为m.假定函数f和g具有如下要求的连续导数且矩阵g_y(y)f_u(t,y,u)具有有界逆矩阵,即存在M>0,使‖(g_y(y)f_u(t,y,u))~(-1)‖≤M.
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| 关 键 词： | 微分代数问题 数值算法 轨道控制 |
A CLASS OF NUMERICAL ALGORITHMS FOR THE PROBLEM IN A DIFFERENTIAL ALGEBRAIC SYSTEM |
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| Affiliation: | Fei Jing-gao (Beijing Institute of Computer Application and Simulation Technology) |
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| Abstract: | In this paper, a class of numerical algorithms for the problem in a differential algebraic system is constructed. The errors of the algorithms are estimated, and the correction scheme is given for these errors. The stability analysis is made for a model problem and the stability regions are given. The numerical example demonstrates that the algorithms are efficient. |
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