| Monday,
September 3 |
| 12h00-13h45:
Lunch |
| 13h45-14h00: Opening |
| 14h00-15h00: Assyr Abdulle, "Bayesian numerical homogenization methods for multiscale inverse problems" |
| 15h00-16h00: Fernando Casas, ”Splitting and composition methods with embedded error estimators” |
| 16h00-16h30:
Coffee break |
| 16h30-17h30: Gerhard Wanner, "1/4 Millenium of Euler's Calculus Integralis ... and another anniversary ... and a recent application" |
| Tuesday,
September 4 |
| 8h45-9h45: Shi Jin, "Hypocoercivity based sensitivity and numerical analyses for kinetic equations with uncertainty" |
| 9h45-10h45: Frédéric Lagoutière, "Homogenization for compressible multicomponent gas dynamics" |
| 10h45-11h15:
Coffee break |
| 11h15-12h15: Lorenzo Pareschi, "Multi-scale and multi-fidelity stochastic collocation methods for uncertainty quantification in kinetic equations" |
| 12h15: Lunch |
| 14h00-15h00: Francis Filbet, "Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system", abstract here |
| 15h00-16h00: Anaïs Crestetto, "Particle
Micro-Macro schemes for collisional kinetic equations
in the diffusive scaling", abstract here |
| 16h00-16h30: Coffee break |
| 16h30: Work session |
| 20h00: Social dinner at the "Cabanon de Charlotte" see here |
| Wednesday,
September 5 |
| 8h45-9h45: Christian Lubich, "A low-rank projector-splitting integrator for the Vlasov-Poisson equation" |
| 9h45-10h45: Bruno Despres, "Trefftz methods for transport equations with boundary layers (with C. Buet and G. Morel)" |
| 10h45-11h15: Coffee break |
| 11h15-12h15: Maurizio Ottaviani, "Tackling multiscale plasma physics problems with AP-like methods" |
| 12h15: Lunch |
| Free afternoon |
| 19h30: CONCERT Chiara GUGLIELMI, poster here |
| Thursday,
September 6 |
| 8h45-9h45: Qin Li, "Low rankness in forward and inverse kinetic theory" |
| 9h45-10h45: Mihai Bostan, "Second order
approximations for magnetic confinement",
abstract here |
| 10h45-11h15: Coffee break |
| 11h15-12h15: Katharina
Schratz, "Uniformly accurate oscillatory integrators for
the
Klein-Gordon-Zakharov system from low- to high-plasma frequency
regimes'' |
| 12h15: Lunch |
| 14h00-15h00: Giacomo Dimarco, "IMEX multistep methods for hyperbolic systems with relaxation" |
| 15h00-16h00: Nicolas
Seguin, "Stability of space discretisation of linear
relaxation systems with boundaries" |
| 16h00-16h30: Coffee break |
| 16h30: Work session |
| Friday,
September 7 |
| 9h30-10h30: Xiaofei
Zhao, "Uniformly accurate Particle-In-Cell methods for 2D
Vlasov equation with non-homogeneous strong magnetic field", abstract here |
| 10h30-11h30: Martin Campos-Pinto, "Forward-Backward Lagrangian Approximations of Transport Problems" |
| 12h00-13h00: Lunch |
| 13h00: Bus for the airport |
Mihai Bostan: "Second order approximations for magnetic confinement"
The averaging methods play a crucial role when studying the dynamics of
particle populations. Among the main applications, we mention the magnetic
confinement, which concerns the transport of charged particles under strong
magnetic fields. The main tool is the average operator along a characteristic
flow. We present second order gyro-kinetic approximations and give some
proof details concerning the error estimates.
Anaïs Crestetto: "Particle Micro-Macro schemes for collisional kinetic equations in the diffusive scaling"
In this talk, I will present a new asymptotic preserving scheme for kinetic equations of Boltzmann-BGK type in the diffusive scaling. The scheme is a suitable combination of micro-macro decomposition, the micro part being discretized by a particle method, and Monte Carlo techniques. Thanks to the Monte Carlo particle approximation, the computational cost of the method automatically reduces when the system approaches the diffusive limit. However, this approximation requires a splitting between the transport part and the collisional one, so that both stiff terms can not offset each other a priori, which prevents from uniform stability. That is why we propose a suitable reformulation of the micro-macro system, without stiff terms. The scheme will be presented in detail and illustrated by several numerical results (including in the 3D in space - 3D in velocity framework).
This work is a collaboration with Nicolas Crouseilles, Giacomo Dimarco and Mohammed Lemou.
Francis Filbet: "Rigorous derivation of the nonlocal reaction-diffusion FitzHugh-Nagumo system"
We introduce a spatially extended transport kinetic FitzHugh-Nagumo model with forced local interactions and prove that its hydrodynamic limit converges towards the classical nonlocal reaction-diffusion FitzHugh-Nagumo system. Our approach is based on a relative entropy method, where the macroscopic quantities of the kinetic model are compared with the solution to the nonlocal reaction-diffusion system. This approach allows to make the rigorous link between kinetic and reaction-diffusion models.
Xiaofei Zhao: "Uniformly accurate Particle-In-Cell methods for 2D Vlasov equation with non-homogeneous strong magnetic field"
I will present our recent work on 2D Vlasov equation with non-homogeneous strong magnetic field. The problem has highly oscillatory characteristics with solution dependent frequency. Benefited from a confinement property, we derived a suitable formulation of the characteristics and then proposed a two-scale integrator under the Particle-In-Cell
discrestization. The proposed method has uniform accuracy in terms of the magnetic field and preserves the confinement in the discrete level.