| A Class of Parallel Implicit Runge-Kutta Formulas |
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| 引用本文： | Fei JinggaoBeijing Institute of Computer Application and Simulation Technology P.O. Box 3929,Beijing 100854,China. A Class of Parallel Implicit Runge-Kutta Formulas[J]. 系统工程与电子技术(英文版), 1993, 0(4) |
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| 作者姓名： | Fei JinggaoBeijing Institute of Computer Application and Simulation Technology P.O. Box 3929 Beijing 100854 China |
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| 作者单位： | Fei JinggaoBeijing Institute of Computer Application and Simulation Technology P.O. Box 3929，Beijing 100854，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | A class of parallel implicit Runge-Kutta formulas is constructed for multiprocessor system. A family of parallel implicit two-stage fourth order Runge-Kutta formulas is given. For these formulas, the convergence is proved and the stability analysis is given. The numerical examples demonstrate that these formulas can solve an extensive class of initial value problems for the ordinary differential equations.
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A Class of Parallel Implicit Runge-Kutta Formulas |
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| Fei JinggaoBeijing Institute of Computer Application and Simulation Technology P.O. Box ,Beijing ,China. A Class of Parallel Implicit Runge-Kutta Formulas[J]. Journal of Systems Engineering and Electronics, 1993, 0(4) |
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| Authors: | Fei JinggaoBeijing Institute of Computer Application Simulation Technology P.O. Box Beijing China |
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| Affiliation: | Fei JinggaoBeijing Institute of Computer Application and Simulation Technology P.O. Box 3929,Beijing 100854,China |
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| Abstract: | A class of parallel implicit Runge-Kutta formulas is constructed for multiprocessor system. A family of parallel implicit two-stage fourth order Runge-Kutta formulas is given. For these formulas, the convergence is proved and the stability analysis is given. The numerical examples demonstrate that these formulas can solve an extensive class of initial value problems for the ordinary differential equations. |
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| Keywords: | Multiprocessor system Parallel algorithm Ordinary differential equation Implicit Runge-Kutta formula. |
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