Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Contour Method: a new approach to finding modes of non-adiabatic
  stellar pulsations   The contour method is a new approach to calculating the non-adiabatic
pulsation frequencies of stars. These frequencies can be found by solving for
the complex roots of a characteristic equation constructed from the linear
non-adiabatic stellar pulsation equations. A complex-root solver requires an
initial trial frequency for each non adiabatic root. A standard method for
obtaining initial trial frequencies is to use a star's adiabatic pulsation
frequencies, but this method can fail to converge to non-adiabatic roots,
especially as the growth and/or damping rate of the pulsations becomes large.
The contour method provides an alternative way for obtaining initial trial
frequencies that robustly converges to non-adiabatic roots, even for stellar
models with extremely non-adiabatic pulsations and thus large growth/damping
rates. We describe the contour method implemented in the GYRE stellar pulsation
code and use it to calculate the non-adiabatic pulsation frequencies of
$10\,\rm{M_{\odot}}$ and $20\,\rm{M_{\odot}}$ $\beta$ Cephei star models, and
of a $0.9\,\rm{M_{\odot}}$ extreme helium star model.

35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg