Quadratizations of differential equations

Apparaît dans la collection : 2023 - T3 - WS3 - Computer algebra for functional equations in combinatorics and physics

Quadratization problem is, given a system of ODEs with polynomial right-hand side, transform the system to a system with quadratic right-hand side by introducing new variables. Such transformations have been used, for example, as a preprocessing step by model order reduction methods and for transforming chemical reaction networks. We will present a recent algorithm for computing such transformations and its extensions including systems with control

Informations sur la vidéo

Date de captation 05/12/2023
Date de publication 05/12/2023
Institut IHP
Licence CC BY-NC-ND
Langue Anglais
Audience Chercheurs, Doctorants, Etudiants
Réalisateur(s) Mandarine Audiovisuel
Format MP4
Lieu IHP - Hermite Amphitheater

Données de citation

DOI 10.57987/IHP.2023.T3.WS3.006
Citer cette vidéo Pogudin, Gleb (05/12/2023). Quadratizations of differential equations. IHP. Audiovisual resource. DOI: 10.57987/IHP.2023.T3.WS3.006
URL https://dx.doi.org/10.57987/IHP.2023.T3.WS3.006

Domaine(s)

Symbolic Computation

Bibliographie

Andrey Bychkov, Opal Issan, Gleb Pogudin, and Boris Kramer : Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems, 2023 arXiv:2303.10285