| 三角形域上边界型积分公式的误差估计 |
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| 引用本文： | 向隆万.三角形域上边界型积分公式的误差估计[J].上海交通大学学报,1990,24(2):32-40. |
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| 作者姓名： | 向隆万 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 摘 要： | 本文对三角形域上边界型近似积分公式首次给出精确的误差渐近估计,并由此建立相应的Romberg型外推公式.同时,讨论了若干数值应用,包括提出一种新的求解Volterra型积分微分方程初值问题的数值方法.
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| 关 键 词： | 边界型积分公式 积分公式 误差估计 三角形域 |
Error Estimations of Boundary-Type integration Formulas on a Triangle |
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| Xiang Longwan.Error Estimations of Boundary-Type integration Formulas on a Triangle[J].Journal of Shanghai Jiaotong University,1990,24(2):32-40. |
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| Authors: | Xiang Longwan |
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| Institution: | Xiang Longwan |
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| Abstract: | In this paper,some sophisticated error estimations of the boundary-type integration formulas on a triangle are obtained.Based on that,a seriesof compounded formulas in the form of Romberg's extrapolation are derived.Several numerical applications,including a new method to solve Volterratype of integro-differential equations,are also given. |
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| Keywords: | Boundary-type integration formula Asymptotic error estimation Romberg's extrapolation Volterra type integro-differential equations |
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