3 papers
math.NA2025
General fourth order Chapman-Enskog expansion of lattice Boltzmann schemes
François Dubois, Bruce M Boghosian, Pierre Lallemand
In order to derive the equivalent partial differential equations of a lattice Boltzmann scheme,the Chapman Enskog expansion is very popular in the lattive Boltzmann community. A ma…
math.NA2024
Numerical approximations of a lattice Boltzmann scheme with a family of partial differential equations
Bruce M Boghosian, François Dubois, Pierre Lallemand
In this contribution, we address the numerical solutions of high-order asymptotic equivalent partial differential equations with the results of a lattice Boltzmann scheme for an in…
cond-mat.stat-mech2024
Bounding the approach to oligarchy in a variant of the yard-sale model
David W. Cohen, Bruce M. Boghosian
We present analytical results for the Gini coefficient of economic inequality under the dynamics of a modified Yard-Sale Model of kinetic asset exchange. A variant of the Yard-Sale…