Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a semi-Lagrangian scheme for the ellipsoidal BGK model of
  the Boltzmann equation   The ellipsoidal BGK model is a generalized version of the original BGK model
designed to reproduce the physical Prandtl number in the Navier-Stokes limit.
In this paper, we propose a new implicit semi-Lagrangian scheme for the
ellipsoidal BGK model, which, by exploiting special structures of the
ellipsoidal Gaussian, can be transformed into a semi-explicit form,
guaranteeing the stability of the implicit methods and the efficiency of the
explicit methods at the same time. We then derive an error estimate of this
scheme in a weighted $L^{\infty}$ norm. Our convergence estimate holds
uniformly in the whole range of relaxation parameter $\nu$ including $\nu=0$,
which corresponds to the original BGK model.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
19
The categories of this paper are: eess