Collection 2023 - T3 - WS3 - Computer algebra for functional equations in combinatorics and physics

Organizer(s) Bostan, Alin ; Bouttier, Jérémie ; Cluzeau, Thomas ; Di Vizio, Lucia ; Krattenthaler, Christian ; Lairez, Pierre ; Maillard, Jean-Marie

Date(s) 04/12/2023 - 08/12/2023

linked URL https://indico.math.cnrs.fr/event/8115/

6 17

Quadratizations of differential equations

By Gleb Pogudin

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

Information about the video

Date of recording 05/12/2023
Date of publication 05/12/2023
Institution IHP
Language English
Audience Researchers, Graduate Students, Students
Director(s) Mandarine Audiovisuel
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2023.T3.WS3.006
Cite this video 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

Domain(s)

Symbolic Computation

Bibliography

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

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Collection 2023 - T3 - WS3 - Computer algebra for functional equations in combinatorics and physics