| A time-splitting spectral method for the generalized Zakharov system in multi-dimensions | |
| Jin, S ; Zheng, CX | |
| 2010-05-06 ; 2010-05-06 | |
| 关键词 | Zakharov system time-splitting spectral method subsonic regime multi-dimensions NONLINEAR SCHRODINGER-EQUATIONS NUMERICAL-METHODS RELAXATION SCHEMES SOLITON Mathematics, Applied |
| 中文摘要 | The generalized Zakharov system (ZS) couples a dispersive field E (scalar or vectorial) and J nondispersive fields {n(j)}(j-1)(J) with a progating speed of 1/epsilon(j). In this paper, we extend our one-dimensional time-splitting spectral method (TSSP) for the generalized ZS into higher dimension. A main new idea is to reformulate the multi-dimensional wave equations for the nondispersive fields into a first-order system using a change of variable defined in the Fourier space. The proposed scheme TSSP is unconditionally stable, second-order in time and spectrally accurate in space. Moreover, in the subsonic regime, it allows numerical capturing of the subsonic limit without resolving the small parameters epsilon(j). Numerical examples confirm these properties of this method. |
| 语种 | 英语 ; 英语 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS ; NEW YORK ; 233 SPRING ST, NEW YORK, NY 10013 USA |
| 内容类型 | 期刊论文 |
| 源URL | [http://hdl.handle.net/123456789/14265]  |
| 专题 | 清华大学 |
| 推荐引用方式 GB/T 7714 | Jin, S,Zheng, CX. A time-splitting spectral method for the generalized Zakharov system in multi-dimensions[J],2010, 2010. |
| APA | Jin, S,&Zheng, CX.(2010).A time-splitting spectral method for the generalized Zakharov system in multi-dimensions.. |
| MLA | Jin, S,et al."A time-splitting spectral method for the generalized Zakharov system in multi-dimensions".(2010). |
| 个性服务 |
| 查看访问统计 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
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。
修改评论