| 沿着积分曲线求解非线性方程组 |
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| 引用本文： | 冯国胜.沿着积分曲线求解非线性方程组[J].同济大学学报(自然科学版),1995,23(5):577-582. |
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| 作者姓名： | 冯国胜 |
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| 作者单位： | 同济大学应用数学系 |
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| 基金项目： | 国家教委留学回国人员资助 |
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| 摘 要： | 由本文给出的常微分方程初值问题，可以确定一条光滑的积分曲线，用给定的算法可从任何初始点出发，沿该，曲线达到它的终点，就是非线性方程的解，算法证明具有整体收敛性，并给出一些数值例子。
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| 关 键 词： | 非线性方程组 数值解 常微分方程 积分曲线 |
Following Integral Curve for Solving Nonlinear Equations |
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| Feng Guosheng.Following Integral Curve for Solving Nonlinear Equations[J].Journal of Tongji University(Natural Science),1995,23(5):577-582. |
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| Authors: | Feng Guosheng |
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| Abstract: | The initial value problem of ordinary differential equations presented in this paper can determine a smooth integral curve. Following this curve with any starting point, the algorithm given here can arrive the endpoint of the curve,the solution of nonlinear equations. The algorithm is shown to have global convergence. Some numerical examples arc given. |
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| Keywords: | Numerical solution of nonlinear equations Initial value problem of ordinary differential equations Integral curve |
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