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《Journal of the Graduate School of the Chinese Academy of Sciences》 2006-01
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Analysis of the Involutive Characteristic Set Method for Algebraic PDE Systems

MENG Xiao-Hui1 CHEN Yu-Fu2(1 Beijing Municipal Computing Center,Beijing 100005,China;?2 Graduate School of the Chinese Academy of Sciences,Beijing 100049,China)  
Based on Wu-Ritt’s characteristic set method and V.Gerdet’s involutive division method,we defined the involutive characteristic set (ICS) for a set of non-linear PDEs with respect to a general involutive direction. The ICS method depends on two factors: the prolongation direction and the variable ordering. In this paper, we report an implementation of the ICS method and use it to solve a large set of PDE systems raised from the computation of symmetric groups for PDEs. Based on the experiments, we try to select the best prolongation direction and the variable ordering for the ICS algorithm.
【Fund】: supportedinpartbyaNationalKeyBasicResearchProjectofChina(G19980306)
【CateGory Index】: O241.82
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