Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes
文献类型：期刊论文
| 作者 | Liu, HL; Wang, JH; Yang, T |
| 刊名 | JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
 |
| 出版日期 | 1999-06-01 |
| 卷号 | 16期号:2页码:195-224 |
| 关键词 | explicit relaxing scheme implicit relaxing scheme existence nonlinear stability discrete travelling wave |
| ISSN号 | 0916-7005 |
| 英文摘要 | In this paper we show the existence and nonlinear stability of strong stationary discrete travelling waves for the explicit and implicit relaxing schemes introduced by Jin and Xin [3]. For the explicit relaxing scheme, we require that the ratio of the size of the time step and the relaxation rate is bounded above for proving the stability. But for the implicit relaxing scheme, we do not need such a restriction. This is comparable to the numerical results obtained in [3]. The proofs involve a detailed study of error equations for perturbations and an elementary but technical energy method. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085274200003 |
| 出版者 | KINOKUNIYA CO LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14645]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, HL |
| 作者单位 | 1.Henan Normal Univ, Dept Math, Xinxiang 453002, Peoples R China 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 3.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, HL,Wang, JH,Yang, T. Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes[J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,1999,16(2):195-224. |
| APA | Liu, HL,Wang, JH,&Yang, T.(1999).Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes.JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,16(2),195-224. |
| MLA | Liu, HL,et al."Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes".JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS 16.2(1999):195-224. |
入库方式： OAI收割
来源：数学与系统科学研究院
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