Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Spectrum of an Operator Pencil with Applications to Wave
  Propagation in Periodic and Frequency Dependent Materials   We study wave propagation in periodic and frequency dependent materials. The
approach in this paper leads to spectral analysis of a quadratic operator
pencil where the spectral parameter relates to the quasimomentum and the
frequency is a parameter. We show that the underlying operator has a discrete
spectrum, where the eigenvalues are symmetrically placed with respect to the
real and imaginary axis. Moreover, we discretize the operator pencil with
finite elements and use a Krylov space method to compute eigenvalues of the
resulting large sparse matrix pencil.

17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
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The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom