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Research talks;Partial Differential Equations;Mathematical Physics

In this talk, I will present ColDICE[1, 2], a publicly available parallel numerical solver designed to solve the Vlasov-Poisson equations in the cold case limit. The method is based on the representation of the phase-space sheet as a conforming, self-adaptive simplicial tessellation whose vertices follow the Lagrangian equations of motion. In this presentation, I will mainly focus on describing the underlying algorithm and its practical implementation, as well as showing a few practical examples demonstrating its capabilities. In this talk, I will present ColDICE[1, 2], a publicly available parallel numerical solver designed to solve the Vlasov-Poisson equations in the cold case limit. The method is based on the representation of the phase-space sheet as a conforming, self-adaptive simplicial tessellation whose vertices follow the Lagrangian equations of motion. In this presentation, I will mainly focus on describing the underlying algorithm and its practical ...

65Mxx ; 45K05 ; 65Y05 ; 76W05 ; 85A30

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- 134 p.

Lectures in applied mathematics , 0010

Localisation : Collection 1er étage

structure stellaire # hydrodynamique # relativité # équation post-newtonnienne # stabilité des masses gazeuses

85A15 ; 85A30

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Research talks;Control Theory and Optimization;Partial Differential Equations;Mathematics in Science and Technology

Following the seminal work by Benamou and Brenier on the time continuous formulation of the optimal transport problem, we show how optimal transport techniques can be used in various areas, ranging from "the reconstruction problem" cosmology to a problem of volatility calibration in finance.

65K10 ; 85A30 ; 85A40 ; 35Q35

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