Particle based gPC methods for mean-field models of swarming with uncertainty

In this work we focus on the construction of numerical schemes for the approximation of stochastic mean-field equations which preserve the nonnegativity of the solution. The method here developed makes use of a mean-field Monte Carlo method in the physical variables combined with a generalized Polyn...

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Bibliographic Details
Main Authors: Carrillo de la Plata, JA, Pareschi, L, Zanella, M
Format: Journal article
Language:English
Published: Global Science Press 2019