| Class of modified parallel combined methods of real-time numerical simulation for a stiff system |
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| 作者姓名： | 朱珍民 刘德贵 陈丽容 |
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| 基金项目： | This project was supported by the National Natural Science Foundation of China (19871080). |
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| 摘 要： | A class of modified parallel combined methods of real-time numerical simulation are presented for a stiff dynamic system. By combining the parallelism across the system with the parallelism across the method, and relaxing the dependence of stage value computation on sampling time of input function, a class of modified real-time parallel combined methods are constructed. Stiff and nonstiff subsystems are solved in parallel on a parallel computer by a parallel Rosen-brock method and a parallel RK method, respectively. Their order conditions and convergences are discussed. The numerical simulation experiments show that this class of modified algorithms can get high speed and efficiency.
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Class of modified parallel combined methods of real-time numerical simulation for a stiff system |
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| Abstract: | A class of modified parallel combined methods of real-time numerical simulation are presented for a stiff dynamic system. By combining the parallelism across the system with the parallelism across the method, and relaxing the dependence of stage value computation on sampling time of input function, a class of modified real-time parallel combined methods are constructed. Stiff and nonstiff subsystems are solved in parallel on a parallel computer by a parallel Rosen-brock method and a parallel RK method, respectively. Their order conditions and convergences are discussed. The numerical simulation experiments show that this class of modified algorithms can get high speed and efficiency. |
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| Keywords: | stiff system real-time numerical simulation parallel combined method |
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