Numerical Schemes for Kinetic Equations in Diffusive Regimes
Lorenzo Pareschi and Giovanni Naldi
The diffusive scaling of many finite-velocity kinetic models
leads to a small-relaxation time behavior governed by reduced
systems which are parabolic in nature. Here we demonstrate
that standard numerical methods for hyperbolic conservation
laws with stiff relaxation fail to capture the right
asymptotic behavior. We show how to design numerical schemes
for the study of the diffusive limit that possess the
discrete analogue of the continuous asymptotic limit.
Numerical results for a model of relaxing heat flow and for
a model of nonlinear diffusion are presented.
- Available as PostScript
- Numerical schemes for kinetic equations in diffusive regimes
- Lorenzo Pareschi ,
- Giovanni Naldi,
- Publishing information:
- App. Math. Lett. to appear
- Submitted by:
February 10 1998.
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