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Computing highest-order divisors for a class of quasi-linear partial differential equations

 
: Grigoriev, Dima; Schwarz, Fritz

:

Gerdt, Vladimir P.:
Computer algebra in scientific computing. 17th international workshop, CASC 2015 : Aachen, Germany, September 14-18, 2015; Proceedings
Cham: Springer International Publishing, 2015 (Lecture Notes in Computer Science 9301)
ISBN: 978-3-319-24020-6 (Print)
ISBN: 978-3-319-24021-3 (Online)
S.158-165
International Conference on Computer Algebra in Scientific Computing (CASC) <17, 2014, Aachen>
Englisch
Konferenzbeitrag
Fraunhofer SCAI ()

Abstract
A differential polynomial G is called a divisor of a differential polynomial F if any solution of the differential equation G = 0 is a solution of the equation F = 0. We design an algorithm which for a class of quasi-linear partial differential polynomials of order k + 1 finds its quasi-linear divisors of order k.

: http://publica.fraunhofer.de/dokumente/N-367136.html