Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient computation of steady solitary gravity waves   An efficient numerical method to compute solitary wave solutions to the free
surface Euler equations is reported. It is based on the conformal mapping
technique combined with an efficient Fourier pseudo-spectral method. The
resulting nonlinear equation is solved via the Petviashvili iterative scheme.
The computational results are compared to some existing approaches, such as the
Tanaka method and Fenton's high-order asymptotic expansion. Several important
integral quantities are numerically computed for a large range of amplitudes.
The integral representation of the velocity and acceleration fields in the bulk
of the fluid is also provided.

13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat