| NON-EXISTENCE OF CONJUGATE-SYMPLECTIC MULTI-STEP METHODS OF ODD ORDER |
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| 引用本文： | Yandong Jiao Guidong Dai Quandong Feng Yifa Tang. NON-EXISTENCE OF CONJUGATE-SYMPLECTIC MULTI-STEP METHODS OF ODD ORDER[J]. 计算数学(英文版), 2007, 25(6): 690-696 |
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| 作者姓名： | Yandong Jiao Guidong Dai Quandong Feng Yifa Tang |
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| 作者单位： | [1]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijin9 100080, China [2]Graduate School of the Chinese Academy of Sciences, Beijin9 100080, China [3]LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Beijing 100080, China |
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| 基金项目： | Acknowledgements. We would like to thank the editors for their valuable suggestions and corrections. This research is supported by the National Natural Science Foundation of China （Grant Nos. 10471145 and 10672143）, and by Morningside Center of Mathematics, Chinese Academy of Sciences. |
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| 摘 要： | We prove that any linear multi-step method G1^T of the form ∑k=0^mαkZk = T∑k=0^mβkJ^-1↓ΔH（Zk） with odd order u （u≥ 3） cannot be conjugate to a symplectic method G2^T of order w （w 〉 u） via any generalized linear multi-step method G3^T of the form ∑k=0^mαkZk = T∑k=0^mβkJ^-1↓ΔH（∑l=0^mγklZl）. We also give a necessary condition for this kind of generalized linear multi-step methods to be conjugate-symplectic. We also demonstrate that these results can be easily extended to the case when G3^T is a more general operator.
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| 关 键 词： | 线性多步骤法 广义线性多步骤法 转换算子 共轭对 |
| 修稿时间： | 2005-09-01 |
NON-EXISTENCE OF CONJUGATE-SYMPLECTIC MULTI-STEP METHODS OF ODD ORDER |
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| Abstract: | |
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| Keywords: | Linear multi-step method Generalized linear multi-step method Step-transition operator Infinitesimally symplectic Conjugate-symplectic. |
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