Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Test equations and linear stability of implicit-explicit general linear
  methods   Eigenvalue perturbation theory is applied to justify using complex-valued
linear scalar test equations to characterize the stability of implicit-explicit
general linear methods (IMEX GLMs) solving autonomous linear ordinary
differential equations (ODEs) when the implicitly treated term is sufficiently
stiff relative to the explicitly treated term. The stiff and non-stiff matrices
are not assumed to be simultaneously diagonalizable or triangularizable and
neither matrix is assumed to be symmetric or negative definite. The stability
of IMEX GLMs solving complex-valued scalar linear ODEs displaying parabolic and
hyperbolic stiffness is analyzed and related to the higher dimensional theory.
The utility of the theoretical results is highlighted with a stability analysis
of a family of IMEX Runge-Kutta methods solving IVPs of a linear 2D
shallow-water model and a linear 1D advection-diffusion model.

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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int