We introduce and discuss a linear Boltzmann equation describing dissipative interactions of a gas of test particles with a fixed background. For a pseudo-Maxwellian collision kern...
Abstract. The linear extended kinetic equation for monoatomic test particles undergoing elastic and inelastic scattering with a background of heavy multi-level field particles is a...
The Poisson-Boltzmann equation is an important tool in modeling solvent in biomolecular systems. In this paper, we focus on numerical approximations to the electrostatic potential...
Stephen D. Bond, Jehanzeb Hameed Chaudhry, Eric C....
The Benjamin-Feir modulational instability effects the evolution of perturbed planewave solutions of the cubic nonlinear Schr¨odinger equation (NLS), the modified NLS, and the ...
We investigate fully parallel Newton-Krylov-Schwarz (NKS) algorithms for solving the large sparse nonlinear systems of equations arising from the finite element discretization of ...