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

By Shi Jin

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.

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Citation data

  • DOI 10.24350/CIRM.V.19698103
  • Cite this video 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


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