Asymptotic preserving methods for multi-scale physical problems (part1) | Vidéo | Carmin.tv

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Asymptotic preserving methods for multi-scale physical problems (part1)

asymptotic-preserving methods

Apparaît dans la collection : Jean-Morlet Chair 2021- Research School: Scaling Limits from Microscopic to Macroscopic Physics / Chaire Jean-Morlet 2021 - Ecole : Limites asymptotiques de la physique microscopique vers la physique macroscopique

We will first outline the asymptotic-transition from quantum to classical, to kinetic and then the hydrodynamic equations, and then show how such asymptotics can guide the design and analysis of the so-called asymptotic-preserving schemes that offer efficient multiscale computations between different scales. Recent random batch methods for particle systems that are valid also for the mean-field regimes will be presented.

Informations sur la vidéo

Date de captation 18/01/2021
Date de publication 08/02/2021
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19698103
Citer cette vidéo Jin, Shi (18/01/2021). Asymptotic preserving methods for multi-scale physical problems (part1). CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19698103
URL https://dx.doi.org/10.24350/CIRM.V.19698103

Domaine(s)

Bibliographie

JIN, Shi, MARKOWICH, Peter, et SPARBER, Christof. Mathematical and computational methods for semiclassical Schrödinger equations. 2011. - https://doi.org/10.1017/S0962492911000031
Lasser, C., & Lubich, C. (2020). Computing quantum dynamics in the semiclassical regime. Acta Numerica, 29, 229-401 - http://dx.doi.org/10.1017/S0962492920000033

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-1.pdf

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