| A Class of Explicit Parallel Multistep Runge-Kutta Methods |
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| 作者姓名： | Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. Beijing China |
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| 作者单位： | Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. 3929，Beijing 100854，China |
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| 摘 要： | In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient.
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A Class of Explicit Parallel Multistep Runge-Kutta Methods |
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| Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. ,Beijing ,China.A Class of Explicit Parallel Multistep Runge-Kutta Methods[J].Journal of Systems Engineering and Electronics,1993(4). |
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| Authors: | Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology POBox Beijing China |
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| Institution: | Xie Yajun and Liu DeguiBeijing Institute of Computer Application and Simulation Technology P.O.Box. 3929,Beijing 100854,China |
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| Abstract: | In this paper, a rather general class of explicit parallel multistep Runge-Kutta methods is constructed for solving initial value problem of ordinary differential equations. Also, the corresponding convergence and stability are analysed. Several parallel computational formulae are given. The numerical experiments, including accuracy, speedup, and efficiency tests show that the methods are efficient. |
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| Keywords: | Runge-Kutta method Initial value problem |
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