Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-variational approximation of discrete eigenvalues of self-adjoint
  operators   We establish sufficiency conditions in order to achieve approximation to
discrete eigenvalues of self-adjoint operators in the second-order projection
method suggested recently by Levitin and Shargorodsky, [math.SP/0212087]. We
find explicit estimates for the eigenvalue error and study in detail two
concrete model examples. Our results show that, unlike the majority of the
standard methods, second-order projection strategies combine non-pollution and
approximation at a very high level of generality.

30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas