Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Novel Numerical Algorithm with Fourth-Order Accuracy for the Direct
  Zakharov-Shabat Problem   We propose a new high-precision algorithm for solving the initial problem for
the Zakharov-Shabat system. This method has the fourth order of accuracy and is
a generalization of the second order Boffetta-Osborne scheme. It is allowed by
our method to solve more effectively the Zakharov-Shabat spectral problem for
continuous and discrete spectra.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ