| 非线性算子方程的迭校代正并用于有限差分法 |
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| 引用本文： | 林群.非线性算子方程的迭校代正并用于有限差分法[J].系统科学与数学,1981,1(2):139-148. |
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| 作者姓名： | 林群 |
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| 摘 要： | 本文讨论非线性算子方程的加速算法.当人们根据一种近似算法得到一个近似解后,可以通过迭代校正的办法来提高原始近似解的精度,在校正过程中要付出一定的代价.但本文证明收获是可观的,是在算子框架下进行的,但所得结论可以应用到偏微分方程的差分方法上.
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ITERATIVE CORRECTIONS FOR NONLINEAR OPERATOR EQUATIONS WITH APPLICATIONS TO DIFFERENCE METHOD |
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| LIN QUN.ITERATIVE CORRECTIONS FOR NONLINEAR OPERATOR EQUATIONS WITH APPLICATIONS TO DIFFERENCE METHOD[J].Journal of Systems Science and Mathematical Sciences,1981,1(2):139-148. |
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| Authors: | LIN QUN |
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| Abstract: | The purpose of this note is to make an iterative improvement on the order ofconvergence of the approximation solution for nonlinear operator equations depending on a pa-rameter.This iterative improvement technique applies to the finite difference method for partialdifferential equations. |
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