Involutive characteristic sets of algebraic partial differential equation systems
文献类型：期刊论文
| 作者 | Chen, YF; Gao, XS |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2003-07-01 |
| 卷号 | 46期号:4页码:469-487 |
| 关键词 | involutive characteristic set integrability conditions algebraic partial differential equation system Wu-Ritt's characteristic set method |
| ISSN号 | 1006-9283 |
| 英文摘要 | This paper presents an algorithm to reduce a nonlinear algebraic partial differential equation system into the involutive characteristic set with respect to an abstract involutive prolongation direction, which covers the existing algorithms based on Riquier method, Thomas method, and Pommaret method. it also provides new algorithms for computing involutive characteristic sets due to the existence of new involutive directions. Experiments show that these new algorithms may be used to significantly reduce the computational steps in Wu-Ritt's characteristic set method for algebraic partial differential equations. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000183667900005 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18827]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Chen, YF |
| 作者单位 | 1.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, YF,Gao, XS. Involutive characteristic sets of algebraic partial differential equation systems[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2003,46(4):469-487. |
| APA | Chen, YF,&Gao, XS.(2003).Involutive characteristic sets of algebraic partial differential equation systems.SCIENCE IN CHINA SERIES A-MATHEMATICS,46(4),469-487. |
| MLA | Chen, YF,et al."Involutive characteristic sets of algebraic partial differential equation systems".SCIENCE IN CHINA SERIES A-MATHEMATICS 46.4(2003):469-487. |
入库方式： OAI收割
来源：数学与系统科学研究院
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