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Singular libraries for computing polynomial conservation laws

Authors: Aurélien Desoeuvres; Alexandru Iosif; Christoph Lueders; Ovidiu Radulescu; Hamid Rahkooy; Matthias Seiss; Thomas Sturm;

Singular libraries for computing polynomial conservation laws

Abstract

The following Singular libraries implement algorithms described in the paper "A Computational Approach to Complete Exact and Approximate Conservation Laws of Chemical Reaction Networks" by A.Desouevres, A.Iosif, C.Lueders, O.Radulescu, H.Rahkooy, M.Seiss, and T.Sturm. This version contains the full implementation of our algorithms, in order to compute a basis for the Q-vector space of conservation laws up to a given degree. polconslaw.lib: A library for computing parametric polynomial conservation laws genpolconslaw.lib: A library for computing polynomial conservation laws in the generic branch curl.lib: An auxiliary library for testing if a syzygy is irrotational. syzygy_basis.lib: An auxiliary library to compute a basis of syzygies integration.lib: An auxiliary library to compute conservation laws by integration of syzygies

Keywords

computational algebra, polynomial conservation laws, syzygies, comprehensive Gröbner sets

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