English
Efficient numerical methods for particle systems (part 2)
Virtualconference
Auteurs : Jin, Shi (Auteur de la Conférence)
... (Editeur )
35Q35 - PDEs in connection with fluid mechanics
65Mxx - Numerical methods for IVP of PDE
70-08 - Computational methods
82C10 - Quantum dynamics and nonequilibrium statistical mechanics (general)
82C40 - Kinetic theory of gases
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-2.pdf
... (Editeur )
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Résumé :
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.
Keywords : asymptotic-preserving methods; multiscale computation; stiff problems
Codes MSC : Keywords : asymptotic-preserving methods; multiscale computation; stiff problems
35Q35 - PDEs in connection with fluid mechanics
65Mxx - Numerical methods for IVP of PDE
70-08 - Computational methods
82C10 - Quantum dynamics and nonequilibrium statistical mechanics (general)
82C40 - Kinetic theory of gases
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-2.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 08/02/2021 Date de captation : 18/01/2021 Sous collection : Research School arXiv category : Mathematical Physics ; Analysis of PDEs ; Numerical Analysis Domaine : PDE ; Analysis and its Applications ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:39:38 Audience : Researchers Download : https://videos.cirm-math.fr/2021-01-21_Jin_2.mp4 
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Informations sur la Rencontre
Nom de la rencontre : 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 macroscopiqueOrganisateurs de la rencontre : Bostan, Mihaï ; Jin, Shi Dates : 18/01/2021 - 22/01/2021 Année de la rencontre : 2021 URL Congrès : https://www.chairejeanmorlet.com/2354.html
Données de citation
DOI : 10.24350/CIRM.V.19698303Citer cette vidéo: Jin, Shi (2021). Efficient numerical methods for particle systems (part 2). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19698303 URI : http://dx.doi.org/10.24350/CIRM.V.19698303 |
Voir aussi
- [Virtualconference] A new commutator method for averaging lemmas (part 3) / Auteur de la Conférence Jabin, Pierre-Emmanuel.
- [Virtualconference] A new commutator method for averaging lemmas (part 2) / Auteur de la Conférence Jabin, Pierre-Emmanuel.
- [Virtualconference] Asymptotic preserving methods for multi-scale physical problems (part1) / Auteur de la Conférence Jin, Shi.
- [Virtualconference] A new commutator method for averaging lemmas (part 1) / Auteur de la Conférence Jabin, Pierre-Emmanuel.
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
