Square-conservative schemes for a class of evolution equations using Lie-group methods
文献类型：期刊论文
| 作者 | Chen, JB; Munthe-Kaas, H; Qin, MZ; Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2002 |
| 卷号 | 39期号:6页码:2164-2178 |
| 关键词 | Runge-kutta Methods Construction |
| ISSN号 | 0036-1429 |
| 英文摘要 | A new method for constructing square-conservative schemes for a class of evolution equations using Lie-group methods is presented. The basic idea is as follows. First, we discretize the space variable appropriately so that the resulting semidiscrete system of equations can be cast into a system of ordinary differential equations evolving on a sphere. Second, we apply Lie-group methods to the semidiscrete system, and then square-conservative schemes can be constructed since the obtained numerical solution evolves on the same sphere. Both exponential and Cayley coordinates are used. Numerical experiments are also reported. |
| 学科主题 | Physics |
| URL标识 | 查看原文 |
| WOS记录号 | WOS:000175300100015 |
| 公开日期 | 2012-08-29 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/13543]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 通讯作者 | Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China. |
| 推荐引用方式 GB/T 7714 | Chen, JB,Munthe-Kaas, H,Qin, MZ,et al. Square-conservative schemes for a class of evolution equations using Lie-group methods[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,39(6):2164-2178. |
| APA | Chen, JB,Munthe-Kaas, H,Qin, MZ,&Chen, JB , Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100080, Peoples R China..(2002).Square-conservative schemes for a class of evolution equations using Lie-group methods.SIAM JOURNAL ON NUMERICAL ANALYSIS,39(6),2164-2178. |
| MLA | Chen, JB,et al."Square-conservative schemes for a class of evolution equations using Lie-group methods".SIAM JOURNAL ON NUMERICAL ANALYSIS 39.6(2002):2164-2178. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。