| 三重积分优化复化梯形与Simpson数值算法 |
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| 引用本文： | 蒋和理.三重积分优化复化梯形与Simpson数值算法[J].合肥工业大学学报(自然科学版),1988(3). |
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| 作者姓名： | 蒋和理 |
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| 摘 要： | 本文采用三等分法给出立方区域Ω(a≤x≤b,c≤y≤d,e≤z≤g)上三重积分 I=∫_a~b∫_c~d∫_e~gf(x,y,z)dxdydz的复化梯形与Simpson数值算法。本文对其算法步骤采用优化原则,使它在计算机上计算过程中,不仅免去大量函数值的重复计算,而且使它加速收敛达到减少迭代计算的次数。
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| 关 键 词： | 立方域 三重积分 梯形与Simpson算法 免去 重复计算 减少次数 |
AN OPTIMUM NUMERICAL METHOD OF COMPOUND TRAPEZCIDAL AND SIMPSON FOR THE TRIPLE INGRAL |
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| Jiang Heli.AN OPTIMUM NUMERICAL METHOD OF COMPOUND TRAPEZCIDAL AND SIMPSON FOR THE TRIPLE INGRAL[J].Journal of Hefei University of Technology(Natural Science),1988(3). |
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| Authors: | Jiang Heli |
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| Abstract: | Thii paper to make use of trisection give and adopts the optimality principle to deal with the compound trapezoidal and simpson rithm method of triple integral over the cuboid region.To render this method can reduce the repitions of calculating function values and the times of iteration in the itereted procedure in computers. |
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| Keywords: | Trapezoidal and simpson algorithm method triple integral cuboid region reduce calculating times of iteration |
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