| 解椭圆型边值问题差分形式全局收敛方法 |
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| 引用本文： | 钮群.解椭圆型边值问题差分形式全局收敛方法[J].河海大学学报(自然科学版),1995,23(4):34-41. |
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| 作者姓名： | 钮群 |
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| 作者单位： | Dept.of Mathematics and Physics，Hohai Univ. |
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| 摘 要： | 用全局收敛的迭代方法来求解非线性椭圆型方程边值问题的数值解。根据在数据连续法方面的一些新结果，克服了非一性算子所造成的困难，经过一系列范数估计，建立了判别其迭代算法为可行的一些充分条件。
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| 关 键 词： | 非线性方程组 椭圆型方程 全局收敛法 边值 |
A Global Convergence Method for Solving the Difference Equation of Nonlinear Elliptic Boundary Value Problems |
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| Niu Qun.A Global Convergence Method for Solving the Difference Equation of Nonlinear Elliptic Boundary Value Problems[J].Journal of Hohai University (Natural Sciences ),1995,23(4):34-41. |
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| Authors: | Niu Qun |
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| Abstract: | he global convergence method is developed for solving nonlinear elliptic boundary value problems.On the basis of some new results from the numerical continuation method, this paper overcomes the difficulties caused by the nonlinear operator. By estimating the norm of a matrix, some convergence criteria of the iterative process are given. |
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| Keywords: | numerical continuation method nodinear operator boundary value problem feasibility |
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