| 一类线性抛物型方程组的交替方向多步法及其理论分析 |
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| 引用本文： | 高夫征.一类线性抛物型方程组的交替方向多步法及其理论分析[J].高等学校计算数学学报,2005,27(2):149-159. |
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| 作者姓名： | 高夫征 |
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| 作者单位： | 山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家自然科学基金 |
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| 摘 要： | Efficient multistep procedure for time-stepping Galerkin method in which we use an alternating direction preconditioned iterative methods for approximately solving the linear equations arising at each timestep in a discrete Galerkin method for a class of linear parabolic systems is derived and analyzed. The optimal order error estimate is obtained. Numerical experiments show that the method has the characteristics of high efficiency and high accuracy.
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| 关 键 词： | 线性抛物型方程组 交替方向多步法 偏微分函数 精确解 光滑性 |
ALTERNATING DIRECTION MULTISTEP METHODS FOR A CLASS OF LINEAR PARABOLIC SYSTEMS AND THEORY ANALYSIS |
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| Gao Fuzheng.ALTERNATING DIRECTION MULTISTEP METHODS FOR A CLASS OF LINEAR PARABOLIC SYSTEMS AND THEORY ANALYSIS[J].Numerical Mathematics A Journal of Chinese Universities,2005,27(2):149-159. |
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| Authors: | Gao Fuzheng |
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| Abstract: | Efficient multistep procedure for time-stepping Galerkin method in which we use an alternating direction preconditioned iterative methods for approximately solving the linear equations arising at each timestep in a discrete Galerkin method for a class of linear parabolic systems is derived and analyzed. The optimal order error estimate is obtained. Numerical experiments show that the method has the characteristics of high efficiency and high accuracy. |
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| Keywords: | parabolic systems multistep Galerkin method alternating-direction method preconditioned iterative methods |
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