| 非光滑第二类Fredholm方程Collocation解的迭代──校正方法 |
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| 引用本文： | 石军,林群.非光滑第二类Fredholm方程Collocation解的迭代──校正方法[J].应用数学学报,1995(2). |
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| 作者姓名： | 石军 林群 |
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| 作者单位： | 中国科学技术大学研究生院数学部，中国科学院系统科学研究所 |
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| 摘 要： | 本文对于一类具非光滑核第二类Ｆｒｅｄｈｏｌｍ方程的Ｃｏｌｌｏｃａｔｉｏｎ解提出一种迭代─校正方法，使得在计算量增加很少的前提下，成倍提高逼近解精度，并将此方法用于平面多角域上边界积分方程，从而给出其相应微分方程逼近解的高精度算法。此方法还是一种自适应方法。
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| 关 键 词： | Collocation解，迭代，校正 |
ITERATIVE CORRECTION METHOD FOR COLLOCATION SOLUTIONS OF THE SECOND KIND NON-SMOOTH FREDHOLM EQUATIONS |
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| SHI JUN.ITERATIVE CORRECTION METHOD FOR COLLOCATION SOLUTIONS OF THE SECOND KIND NON-SMOOTH FREDHOLM EQUATIONS[J].Acta Mathematicae Applicatae Sinica,1995(2). |
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| Authors: | SHI JUN |
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| Abstract: | in this paper, we present a kind of iterative correction method for a kind of the second kind non-smooth Fredholm integral equations so that we can raise the convergent order of the collocation approximations some times with less additional computations and apply the method to the approximations of both boundary integral equations of polygonal domains on the plane and the differential equations respectively to show that. This is not only a high order method but also an adaptive one. |
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| Keywords: | Collocation solution iterative correction |
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