127 citations · 236 across the 18 of their papers we have counts for
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Finite-Volume approximation of the invariant measure of a viscous stochastic scalar conservation law
Sébastien Boyaval, Sofiane Martel, Julien Reygner
We study the numerical approximation of the invariant measure of a viscous scalar conservation law, one-dimensional and periodic in the space variable, and stochastically forced wi…
Viscous scalar conservation law with stochastic forcing: strong solution and invariant measure
Sofiane Martel, Julien Reygner
We are interested in viscous scalar conservation laws with a white-in-time but spatially correlated stochastic forcing. The equation is assumed to be one-dimensional and periodic i…
Optimal convergence rate of the multitype sticky particle approximation of one-dimensional diagonal hyperbolic systems with monotonic initial data
Benjamin Jourdain, Julien Reygner
Brenier and Grenier [SIAM J. Numer. Anal., 1998] proved that sticky particle dynamics with a large number of particles allow to approximate the entropy solution to scalar one-dimen…
A multitype sticky particle construction of Wasserstein stable semigroups solving one-dimensional diagonal hyperbolic systems with large monotonic data
Benjamin Jourdain, Julien Reygner
This article is dedicated to the study of diagonal hyperbolic systems in one space dimension, with cumulative distribution functions, or more generally nonconstant monotonic bounde…