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Numerical analysis of highly oscillatory Stochastic PDEs
In a first part, we are interested in the behavior of a system of Stochastic PDEs with two time-scales- more precisely, we focus on the approximation of the slow... -
A multiscale study of stochastic spatially-extended conductance-based models ...
The purpose of the present thesis is the mathematical study of probabilistic models for the generation and propagation of an action potential in neurons and more... -
Probabilistic numerical methods : multi-scale and mean-field problems
This Ph.D. thesis deals with the numerical solution of two types of stochastic problems. First, we investigate the numeric solution to strongly oscillating SDEs, i.e....
