206 citations · 1.7k across the 107 of their papers we have counts for
7 papers · 1 filter
Consensus-Based Optimization on Hypersurfaces: Well-Posedness and Mean-Field Limit
Massimo Fornasier, Hui Huang, Lorenzo Pareschi +1
We introduce a new stochastic differential model for global optimization of nonconvex functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto-Vicsek sy…
Residual equilibrium schemes for time dependent partial differential equations
Lorenzo Pareschi, Thomas Rey
Many applications involve partial differential equations which admits nontrivial steady state solutions. The design of schemes which are able to describe correctly these equilibriu…
Self-similarity and power-like tails in nonconservative kinetic models
L. Pareschi, G. Toscani
In this paper, we discuss the large--time behavior of solution of a simple kinetic model of Boltzmann--Maxwell type, such that the temperature is time decreasing and/or time increa…
Solving the Boltzmann equation in N log N
Francis Filbet, Clément Mouhot, Lorenzo Pareschi
In [C. Mouhot and L. Pareschi, "Fast algorithms for computing the Boltzmann collision operator," Math. Comp., to appear; C. Mouhot and L. Pareschi, C. R. Math. Acad. Sci. Paris, 33…
Fast algorithms for computing the Boltzmann collision operator
Clément Mouhot, Lorenzo Pareschi
The development of accurate and fast numerical schemes for the five fold Boltzmann collision integral represents a challenging problem in scientific computing. For a particular cla…
Dissipative hydrodynamic models for the diffusion of impurities in a gas
Stephane Brull, Lorenzo Pareschi
Recently linear dissipative models of the Boltzmann equation have been introduced. In this work, we consider the problem of constructiing suitable hydrodynamic approximations for s…