| 抛物方程Dirichlet问题的高精度AGE方法 |
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| 引用本文： | 任玉红. 抛物方程Dirichlet问题的高精度AGE方法[J]. 天津师范大学学报(自然科学版), 2007, 27(3): 59-63 |
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| 作者姓名： | 任玉红 |
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| 作者单位： | 天津师范大学,影视艺术学院,天津,300074 |
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| 摘 要： | 为了在并行计算机上求解抛物方程的Dirichlet问题,应用交替型并行差分格式,构造了具有三阶截断误差的交替分组显格式(AGE),结果表明,该格式是绝对稳定的.
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| 关 键 词： | 抛物方程 Dirichlet问题 交替分组显格式(AGE) 高精度 绝对稳定 |
| 文章编号： | 1671-1114（2007）03-0059-05 |
| 收稿时间： | 2007-01-12 |
| 修稿时间： | 2007-01-12 |
AGE Method with High Order Accuracy for Dirichlet Problem of the Parabolic Equation |
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| REN Yu-hong. AGE Method with High Order Accuracy for Dirichlet Problem of the Parabolic Equation[J]. Journal of Tianjin Normal University(Natural Science Edition), 2007, 27(3): 59-63 |
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| Authors: | REN Yu-hong |
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| Affiliation: | College of Movie-Television and Art, Tianjin Normal University, Tianjin 300074, China |
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| Abstract: | The alternating parallel difference scheme is used to solve the parabolic equation with Dirichlet boundary condition on parallel computer.The alternating group explicit(AGE) scheme which is absolutely stable with third order truncation is presented. |
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| Keywords: | parabolic equation Dirichlet problem alternating group explicit scheme high order accuracy absolute stability |
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