The numerical solution of hyperbolic systems with imbedded parabolic
and dispersive structures and the Boltzmann equation
Abstract
We consider a class hyperbolic systems of conservation laws which
arise from Galerkin approximations for the Boltzmann Transport
Equation. Although formally hyperbolic, these systems exhibit
parabolic and dispersive behavior in regimes corresponding to
small values of the mean free path and large driving forces. A
numerical technique, based on a combination of fractional step
methods and difference schemes, which takes into account this
behavior is presented and analyzed analytically and numerically.
