360 citations · 1.8k across the 59 of their papers we have counts for
60 papers
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…
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…
ODE models of wealth concentration and taxation
Bruce Boghosian, Christoph Börgers
We refer to an individual holding a non-negligible fraction of the country's total wealth as an oligarch. We explain how a model due to Boghosian et al. can be used to explore the…
A blue sky bifurcation in the dynamics of political candidates
Christoph Börgers, Bruce Boghosian, Natasa Dragovic +1
Political candidates often shift their positions opportunistically in hopes of capturing more votes. When there are only two candidates, the best strategy for each of them is often…
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…
A particle method for continuous Hegselmann-Krause opinion dynamics
Bruce Boghosian, Christoph Börgers, Natasa Dragovic +2
We derive a differential-integral equation akin to the Hegselmann-Krause model of opinion dynamics, and propose a particle method for solving the equation. Numerical experiments de…