On The Relationship Between Differential ...
Document type :
Communication dans un congrès avec actes
Title :
On The Relationship Between Differential Algebra and Tropical Differential Algebraic Geometry
Author(s) :
Boulier, François [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Falkensteiner, Sebastian [Auteur]
University of Linz - Johannes Kepler Universität Linz [JKU]
Noordman, Marc Paul [Auteur]
Bernoulli Institute for Mathematics for Mathematics, Computer Science and Artificial Intelligence Groningen,
Sanchez, Omar Leon [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Falkensteiner, Sebastian [Auteur]
University of Linz - Johannes Kepler Universität Linz [JKU]
Noordman, Marc Paul [Auteur]
Bernoulli Institute for Mathematics for Mathematics, Computer Science and Artificial Intelligence Groningen,
Sanchez, Omar Leon [Auteur]
Conference title :
Computer Algebra in Scientific Computing
City :
Sochi
Country :
Russie
Start date of the conference :
2021-09
Journal title :
LNCS
Publisher :
Springer
Publication date :
2021-09
HAL domain(s) :
Informatique [cs]/Calcul formel [cs.SC]
Mathématiques [math]/Algèbre commutative [math.AC]
Mathématiques [math]/Algèbre commutative [math.AC]
English abstract : [en]
This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and ...
Show more >This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the Fundamental Theorem of tropical differential algebraic geometry which permits to improve this latter by dropping the base field uncountability hypothesis used in the original version.Show less >
Show more >This paper presents the relationship between differential algebra and tropical differential algebraic geometry, mostly focusing on the existence problem of formal power series solutions for systems of polynomial ODE and PDE. Moreover, it improves an approximation theorem involved in the proof of the Fundamental Theorem of tropical differential algebraic geometry which permits to improve this latter by dropping the base field uncountability hypothesis used in the original version.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
ANR Project :
Collections :
Source :
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