Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Positive and Stable L2-minimization Based Moment Method for the
  Boltzmann Equation of Gas dynamics   We consider the method-of-moments approach to solve the Boltzmann equation of
rarefied gas dynamics, which results in the following moment-closure problem.
Given a set of moments, find the underlying probability density function. The
moment-closure problem has infinitely many solutions and requires an additional
optimality criterion to single-out a unique solution. Motivated from a
discontinuous Galerkin velocity discretization, we consider an optimality
criterion based upon L2-minimization. To ensure a positive solution to the
moment-closure problem, we enforce positivity constraints on L2-minimization.
This results in a quadratic optimization problem with moments and positivity
constraints. We show that a (Courant-Friedrichs-Lewy) CFL-type condition
ensures both the feasibility of the optimization problem and the L2-stability
of the moment approximation. Numerical experiments showcase the accuracy of our
moment method.

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The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat