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Asymptotic preserving methods for multi-scale physical problems (part1)
Virtualconference
Authors : Jin, Shi (Author of the conference)
CIRM (Publisher )
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
Additional resources :
https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-1.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/2354/Slides/JIN_CIRM-1.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 08/02/2021 Conference Date : 18/01/2021 Subseries : Research School arXiv category : Numerical Analysis ; Mathematical Physics Mathematical Area(s) : PDE ; Mathematical Physics ; Numerical Analysis & Scientific Computing Format : MP4 (.mp4) - HD Video Time : 01:32:43 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-01-18_Jin _1.mp4 
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Information on the Event
Event Title : 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 macroscopiqueEvent Organizers : Bostan, Mihaï ; Jin, Shi Dates : 18/01/2021 - 22/01/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2354.html
Citation Data
DOI : 10.24350/CIRM.V.19698103Cite this video as: Jin, Shi (2021). Asymptotic preserving methods for multi-scale physical problems (part1). CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19698103 URI : http://dx.doi.org/10.24350/CIRM.V.19698103 |
See Also
- [Virtualconference] A new commutator method for averaging lemmas (part 3) / Author of the conference Jabin, Pierre-Emmanuel.
- [Virtualconference] Efficient numerical methods for particle systems (part 2) / Author of the conference Jin, Shi.
- [Virtualconference] A new commutator method for averaging lemmas (part 2) / Author of the conference Jabin, Pierre-Emmanuel.
- [Virtualconference] A new commutator method for averaging lemmas (part 1) / Author of the conference Jabin, Pierre-Emmanuel.
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
