| 多辛Preissman格式及其应用 |
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| 引用本文： | 王兰. 多辛Preissman格式及其应用[J]. 江西师范大学学报(自然科学版), 2009, 33(1) |
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| 作者姓名： | 王兰 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
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| 基金项目： | 江西省自然科学基金，江西省教育厅科研基金，江西师范大学青年成长基金 |
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| 摘 要： | 主要讨论了用于求解多辛哈密尔顿系统的多辛Preissman格式及其简单应用.根据多辛格式必须满足离散的多辛守恒律的基本思想,从Runge-Kutta方法入手,推导出其为多辛格式的充分条件,进而得到了多辛的中点格式,同时举例说明的它在偏微分方程数值求解中的应用.
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| 关 键 词： | 哈密尔顿系统 多辛格式 Preissman格式 波动方程 |
Multisymplectic Preissman Scheme and Its Application |
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| WANG Lan. Multisymplectic Preissman Scheme and Its Application[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(1) |
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| Authors: | WANG Lan |
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| Affiliation: | Institute of Mathematics and Informatics;Jiangxi Normal University;Nanchang 330022;China |
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| Abstract: | We discuss the multisymplectic Preissman scheme which is mainly applied to solve multisymplectic Hamiltonian system in the paper.The simple application of the numerical method is also studied.The basic idea to construct multisymplectic scheme is that it must satisfy discrete multisymplectic conservation law.Based on the idea,we derive the sufficient conditions that lead a pair of Runge-Kutta methods to multisymplectic.Therefore,the multisymplectic Preissman scheme is obtained.We take wave equation as an exa... |
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| Keywords: | Hamiltonian system multisymplectic scheme Preissman scheme wave equation |
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