| 三维七对角差分格式强隐式法的推导计算 |
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| 引用本文： | 章顺,陈素琴,黄自萍. 三维七对角差分格式强隐式法的推导计算[J]. 同济大学学报(自然科学版), 2001, 29(7): 857-861 |
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| 作者姓名： | 章顺 陈素琴 黄自萍 |
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| 作者单位： | 同济大学应用数学系, |
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| 基金项目： | 国家自然科学基金资助项目(19601028);同济大学理科基金资助项目(1300104003) |
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| 摘 要： | 对三维情况下椭圆型方珠七对角差分格式的强隐式法作了推导，给出了迭代格式，并对收敛性和迭代参数的选择作了分析。
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| 关 键 词： | 强隐式法 三维 七对角差分格式 迭代参数 收敛性 椭圆型方程 迭代格式 |
| 文章编号： | 0253-374(2001)07-0857-05 |
| 修稿时间： | 2000-09-30 |
Deduction and Computation of Strongly Implicit Procedure Method for Seven- diagonal Finite Differentiate Method of 3 Dimensions |
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| ZHANG Shun,CHEN Su-qin,HUANG Zi-ping. Deduction and Computation of Strongly Implicit Procedure Method for Seven- diagonal Finite Differentiate Method of 3 Dimensions[J]. Journal of Tongji University(Natural Science), 2001, 29(7): 857-861 |
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| Authors: | ZHANG Shun CHEN Su-qin HUANG Zi-ping |
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| Abstract: | We deduce the strongly implicit procedure method for the seven-diagonal matrix which is obtained from the finite differentiate method of the elliptic equation in 3 dimensions,give the iterative formation,prove the convergence of the algorithm and analyze the choice of the iterative parameter. |
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| Keywords: | strongly implicit procedure method 3 dimensions seven-diagonal finite iterative parameter convergence |
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