@inproceedings{053313130c7b4e668feb1137fe9580cf,
title = "Asymptotic-Preserving (Ap) Schemes for Multiscale Kinetic Equations: a Unified Approach",
abstract = "Kinetic equations have scalings, characterized by the mean free path, that lead to various different limiting behaviors, such as the Euler and Navier-Stokes approximations. Based on our previous studies on these issues, here we present a unified approach to develop asymptotic-preserving scheme for multiscale kinetic equations that allows the treatment of different length scales in a robust way. Our scheme works for both the rarefied and hydrodynamic (Euler and Navier-Stokes) regimes with a uniform accuracy. The idea is to use the even and odd-parity formulation. Our approach covers a large class of kinetic and transport equations.",
author = "Shi Jin and Lorenzo Pareschi",
year = "2001",
doi = "10.1007/978-3-0348-8372-6\_11",
language = "English",
isbn = "9783034895385",
series = "ISNM International Series of Numerical Mathematics",
publisher = "Birkh{\"a}user",
pages = "573--582",
booktitle = "Hyperbolic Problems: Theory, Numerics, Applications",
address = "Switzerland",
}