62 citations · 226 across the 32 of their papers we have counts for
6 papers · 1 filter
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations
Jingwei Hu, Ruiwen Shu
Many hyperbolic and kinetic equations contain a non-stiff convection/transport part and a stiff relaxation/collision part (characterized by the relaxation or mean free time $\varep…
A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration
Jingwei Hu, Jian-Guo Liu, Yantong Xie +1
In this work, we are concerned with the Fokker-Planck equations associated with the Nonlinear Noisy Leaky Integrate-and-Fire model for neuron networks. Due to the jump mechanism at…
A particle method for the homogeneous Landau equation
Jose A. Carrillo, Jingwei Hu, Li Wang +1
We propose a novel deterministic particle method to numerically approximate the Landau equation for plasmas. Based on a new variational formulation in terms of gradient flows of th…
Quantification of thermally-driven flows in microsystems using Boltzmann equation in deterministic and stochastic contexts
Shashank Jaiswal, Aaron Pikus, Andrew Strongrich +3
When the flow is sufficiently rarefied, a temperature gradient, for example, between two walls separated by a few mean free paths, induces a gas flow---an observation attributed to…
A discontinuous Galerkin fast spectral method for multi-species full Boltzmann on streaming multi-processors
Shashank Jaiswal, Jingwei Hu, Julien K. Brillon +1
When the molecules of a gaseous system are far apart, say in microscale gas flows where the surface to volume ratio is high and hence the surface forces dominant, the molecule-surf…
A discontinuous Galerkin fast spectral method for the multi-species Boltzmann equation
Shashank Jaiswal, Alina A. Alexeenko, Jingwei Hu
We introduce a fast Fourier spectral method for the multi-species Boltzmann collision operator. The method retains the riveting properties of the single-species fast spectral metho…