Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the Splitting Method for Shallow Water Equations   In this paper we analyze the convergence of the splitting method for shallow
water equations. In particular, we give an analytical estimation of the time
step which is necessary for the convergence and then we study the behaviour of
the motion of the shallow water in the Venice lagoon by using the splitting
method with a finite element space discretization. The numerical calculations
show that the splitting method is convergent if the time step of the first part
is sufficiently small and that it gives a good agreement with the experimental
data.

23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph