In this lecture notes we review some recent results concerning the numerical solution of nonlinear collisional kinetic equation. Although the scope of our insights is wider, here we will focus mainly on the classical Boltzmann equation of rarefied gas dynamics. This is motivated not only by its relevance for applications but also because it contains all major difficulties present in other kinetic models and represents the most challenging case for the development of numerical schemes.
Efficient asymptotic preserving deterministic methods for the Boltzmann equation
PARESCHI, Lorenzo;
2011
Abstract
In this lecture notes we review some recent results concerning the numerical solution of nonlinear collisional kinetic equation. Although the scope of our insights is wider, here we will focus mainly on the classical Boltzmann equation of rarefied gas dynamics. This is motivated not only by its relevance for applications but also because it contains all major difficulties present in other kinetic models and represents the most challenging case for the development of numerical schemes.File in questo prodotto:
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