Sciweavers

CASC
2010
Springer

Thomas Decomposition of Algebraic and Differential Systems

13 years 1 months ago
Thomas Decomposition of Algebraic and Differential Systems
In this paper, we consider systems of algebraic and non-linear partial differential equations and inequations. We decompose these system into so-called simple subsystems and thereby partition the set of solutions. For algebraic systems, simplicity means triangularity, square-freeness and nonvanishing initials. Differential simplicity extends algebraic simplicity with involutivity. We build upon the constructive ideas of J. M. Thomas and develop them into a new algorithm for disjoint decomposition. The given paper is a revised version of B
Thomas Bächler, Vladimir P. Gerdt, Markus Lan
Added 10 Feb 2011
Updated 10 Feb 2011
Type Journal
Year 2010
Where CASC
Authors Thomas Bächler, Vladimir P. Gerdt, Markus Lange-Hegermann, Daniel Robertz
Comments (0)