Efficient numerical methods for particle systems (part 2) | Vidéo | Carmin.tv

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Efficient numerical methods for particle systems (part 2)

Appears in 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.

Information about the video

Date of recording 18/01/2021
Date of publication 08/02/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19698303
Cite this video Jin, Shi (18/01/2021). Efficient numerical methods for particle systems (part 2). CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19698303
URL https://dx.doi.org/10.24350/CIRM.V.19698303

Domain(s)

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-2.pdf

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