Higher order projective integration schemes for kinetic equations in the hyperbolic and diffusive limits

Pauline Lafitte
Date and time
Workshop - Multiscale numerical methods for differential equations

In order to introduce new asymptotic preserving schemes for kinetic equations in regimes leading to hyperbolic systems of conservation laws appearing e. g. in some models of radiative transfer or fluid dynamics, we apply the projective integration method developed by Gear and Kevrekidis in the context of large multiscale differential systems appearing in Chemistry. The crucial point of this work is our obtaining high order in time asymptotic preserving schemes.


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