| 求解指标1的微分代数方程组的一类新方法 |
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| 引用本文： | 鲍文娣,韩海力.求解指标1的微分代数方程组的一类新方法[J].淮阴师范学院学报(自然科学版),2012(2):117-121,145. |
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| 作者姓名： | 鲍文娣 韩海力 |
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| 作者单位： | 中国石油大学理学院;青岛杰瑞自动化有限化司 |
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| 摘 要： | 给出求解指标1的微分代数方程组的一类新的计算方法.将微磁学仿真的方法推广到求解微分代数方程组,并给出方法的收敛性和相容性分析.利用与伴随法相复合的方法,提高方法的收敛阶.并将方法应用于晶体管放大器的模型中.数值实验表明方法是有效的.
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| 关 键 词： | Gauss-Seidel方法 微分代数方程组 伴随法 投影法 |
A New Class of Methods for Differential-algebraic Equations of Index-one |
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| BAO Wen-di,HAN Hai-li.A New Class of Methods for Differential-algebraic Equations of Index-one[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2012(2):117-121,145. |
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| Authors: | BAO Wen-di HAN Hai-li |
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| Institution: | 1.School of science,China University of Petroleum,Qingdao Shandong 266552,China)(2.Qingdao JARI Automation Co.,Qingdao Shandong 266071,China) |
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| Abstract: | In this paper,a new class of methods for solving the index-1 differential-algebraic equations are proposed.The methods are the extensions of gauss-seidel method to DAEs.In order to increase the convergence order,the composition with the adjoint method is provided and then the convergence of the composition method is given.The numerical tests applied to problems from an amplifier and a pendulum show the algorithms are feasible. |
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| Keywords: | gauss-seidel method differential-algebraic equations(DAEs) adjoint method projection method |
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