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The integration of systems of linear PDEs using conservation laws of syzygies

Please always quote using this URN: urn:nbn:de:0297-zib-6751
  • The purpose of the paper is to formulate and use syzygies for systems of linear PDEs. The computation of an equivalent of a GCD for linear partial differential operators will save us their factorization which is otherwise only possible algorithmically in special cases. After showing the computation with the new and the traditional method and comparing both in the next three sections, the algorithm is explained in general and an overview is given.

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Metadaten
Author:Thomas Wolf
Document Type:ZIB-Report
Tag:PDE; conservation laws; syzygies
MSC-Classification:35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35-04 Explicit machine computation and programs (not the theory of computation or programming)
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Gxx General higher-order equations and systems / 35G05 Linear higher-order equations
Date of first Publication:2002/02/14
Series (Serial Number):ZIB-Report (02-08)
ZIB-Reportnumber:02-08
Published in:Appeared in: Journal of Symb. Comp. 35 (2003) 499-526
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