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The Symbolic Integration of Exact PDEs

Please always quote using this URN: urn:nbn:de:0297-zib-5702
  • An algorithm is described to decide if a given polynomial differential expression $\Delta$ of multivariate functions is exact, i.e. whether there exists a first integral $P$ such that $D_xP = \Delta$ for any one of a set of variables $x$ and to provide the integral $P$. A generalization is given to allow integration in the case that the exactness is prohibited by terms which contain only functions of not all the independent variables.

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Metadaten
Author:Thomas Wolf
Document Type:ZIB-Report
Tag:partial differential equations; symbolic integration
MSC-Classification:34-XX ORDINARY DIFFERENTIAL EQUATIONS / 34-04 Explicit machine computation and programs (not the theory of computation or programming)
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35-04 Explicit machine computation and programs (not the theory of computation or programming)
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Dxx Generalized solutions / 35D99 None of the above, but in this section
35-XX PARTIAL DIFFERENTIAL EQUATIONS / 35Nxx Overdetermined systems [See also 58Hxx, 58J10, 58J15] / 35N10 Overdetermined systems with variable coefficients
68-XX COMPUTER SCIENCE (For papers involving machine computations and programs in a specific mathematical area, see Section -04 in that area) / 68-04 Explicit machine computation and programs (not the theory of computation or programming)
Date of first Publication:2000/01/31
Series (Serial Number):ZIB-Report (00-02)
ZIB-Reportnumber:00-02
Published in:Appeared in: J. Symb. Comp. 30 (2000) 619-629
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