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Involutive characteristic sets of algebraic partial differential equation systems
Chen, YF; Gao, XS
2003-07-01
Source PublicationSCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN1006-9283
Volume46Issue:4Pages:469-487
AbstractThis 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.
Keywordinvolutive characteristic set integrability conditions algebraic partial differential equation system Wu-Ritt's characteristic set method
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000183667900005
PublisherSCIENCE PRESS
Citation statistics
Cited Times:8[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18828
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
Recommended Citation
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.
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