| 常微分方程初值问题的多重网格解法 |
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| 引用本文： | 蒋长锦.常微分方程初值问题的多重网格解法[J].中国科学技术大学学报,1989,19(4):426-434. |
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| 作者姓名： | 蒋长锦 |
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| 作者单位： | 中国科学技术大学数学系 |
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| 摘 要： | 将多重网格方法应用于隐式Runge-Kutta公式,得到一种常微分方程初值问题的数值解法。还具体构造了多重网格分量,并分析了方法的阶,给出了一种以分步推进式的多重网格方法求第一次近似值的过程,从实例看,应用此法所得的解有非常好的精确度。
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| 关 键 词： | 多重网格方法 二重网格方法 多重网格分量 多重网格迭代 |
A Multigrid Method for Solution of Initial Value Problems in Ordinary Differetial Equations |
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| Jiang Changjin.A Multigrid Method for Solution of Initial Value Problems in Ordinary Differetial Equations[J].Journal of University of Science and Technology of China,1989,19(4):426-434. |
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| Authors: | Jiang Changjin |
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| Institution: | Jiang Changjin Department of Mathematics |
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| Abstract: | A new method is introduced for solution of initial value problems inordinary differential equations, which as developed by applying the multigridmethods to Runge-Kutta method. The multigrid components were chosen, andthe order of the the two-grid method was analysed. A succesively forwardprocedure for computing approximation s also described. The example givenshow that the solutions obtained by using the method are of suffcient accuracy. |
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| Keywords: | multigrid methods two-grid methods multigrid components multigrid methods iteration (MGI) |
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