Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual viscosity stabilized RBF-FD methods for solving nonlinear
  conservation laws   In this paper, we solve nonlinear conservation laws using the radial basis
function generated finite difference (RBF-FD) method. Nonlinear conservation
laws have solutions that entail strong discontinuities and shocks, which give
rise to numerical instabilities when the solution is approximated by a
numerical method. We introduce a residual-based artificial viscosity (RV)
stabilization framework adjusted to the RBF-FD method, where the residual of
the conservation law adaptively locates discontinuities and shocks. The RV
stabilization framework is applied to the collocation RBF-FD method and the
oversampled RBF-FD method. Computational tests confirm that the stabilized
methods are reliable and accurate in solving scalar conservation laws and
conservation law systems such as compressible Euler equations.

20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org