Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Numerical Algorithm for Ambrosetti-Prodi Type Operators   We consider the numerical solution of the equation - \Delta u - f(u) = g, for
the unknown u satisfying Dirichlet conditions in a bounded domain. The
nonlinearity f has bounded, continuous derivative. The algorithm uses the
finite element method combined with a global Lyapunov-Schmidt decomposition.

12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom