Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reliability of first order numerical schemes for solving shallow water
  system over abrupt topography   We compare some first order well-balanced numerical schemes for shallow water
system with special interest in applications where there are abrupt variations
of the topography. We show that the space step required to obtain a prescribed
error depends on the method. Moreover, the solutions given by the numerical
scheme can be significantly different if not enough space resolution is used.
We shall pay special attention to the well-known hydrostatic reconstruction
technique where it is shown that large bottom discontinuities may be neglected
and a modification is proposed to avoid this problem.

17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg