Stability analysis and application of the exponential time differencing schemes
文献类型：期刊论文
| 作者 | Du, Q; Zhu, WX |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2004-03-01 |
| 卷号 | 22期号:2页码:200-209 |
| 关键词 | time integration schemes exponential time differencing Fourier spectral methods stability Fourier analysis energy estimates maximum principle Allen-Cahn equations phase transitions |
| ISSN号 | 0254-9409 |
| 英文摘要 | Exponential time differencing schemes are time integration methods that can be efficiently combined with spatial spectral approximations to provide very high resolution to the smooth solutions of some linear and nonlinear partial differential equations. We study in this paper the stability properties of some exponential time differencing schemes. We also present their application to the numerical solution of the scalar Allen-Cahn equation in two and three dimensional spaces. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000220381000007 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19323]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Du, Q |
| 作者单位 | 1.Penn State Univ, Dept Math, University Pk, PA 16802 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, Q,Zhu, WX. Stability analysis and application of the exponential time differencing schemes[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(2):200-209. |
| APA | Du, Q,&Zhu, WX.(2004).Stability analysis and application of the exponential time differencing schemes.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(2),200-209. |
| MLA | Du, Q,et al."Stability analysis and application of the exponential time differencing schemes".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.2(2004):200-209. |
入库方式： OAI收割
来源：数学与系统科学研究院
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