热门
Difference schemes for solving the generalized nonlinear Schrodinger equation
文献类型：期刊论文
| 作者 | Chang, QS; Jia, EH; Sun, W |
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 1999-01-20 |
| 卷号 | 148期号:2页码:397-415 |
| 关键词 | difference schemes generalized Schrodinger equation linearized Crank-Nicolson scheme |
| ISSN号 | 0021-9991 |
| 英文摘要 | This paper studies finite difference schemes for solving the generalized nonlinear Schrodinger (GNLS) equation iu(t) - u(x)x + q(\u\(2))u = f(x, t)u. A new linearlized Crank-Nicolson-type scheme is presented by applying an extrapolation technique to the real coefficient of the nonlinear term in the GNLS equation. Several schemes, including Crank-Nicolson-type schemes, Hopscotch-type schemes, split step Fourier scheme, and pseudospectral scheme, are adopted for solving three model problems of GNLS equation which arise from many physical problems. with q(s) = s(2), q(s)= In(1 + s), and q(s)= -4s/(1 + s), respectively. The numerical results demonstrate that the linearized Crank-Nicolson scheme is efficient and robust. (C) 1999 Academic Press. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000078134300005 |
| 出版者 | ACADEMIC PRESS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14150]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chang, QS |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China 2.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong |
| 推荐引用方式 GB/T 7714 | Chang, QS,Jia, EH,Sun, W. Difference schemes for solving the generalized nonlinear Schrodinger equation[J]. JOURNAL OF COMPUTATIONAL PHYSICS,1999,148(2):397-415. |
| APA | Chang, QS,Jia, EH,&Sun, W.(1999).Difference schemes for solving the generalized nonlinear Schrodinger equation.JOURNAL OF COMPUTATIONAL PHYSICS,148(2),397-415. |
| MLA | Chang, QS,et al."Difference schemes for solving the generalized nonlinear Schrodinger equation".JOURNAL OF COMPUTATIONAL PHYSICS 148.2(1999):397-415. |
入库方式： OAI收割
来源：数学与系统科学研究院
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。