Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Collocation Methods for Exploring Perturbations in Linear Stability
  Analysis   Eigenvalue analysis is a well-established tool for stability analysis of
dynamical systems. However, there are situations where eigenvalues miss some
important features of physical models. For example, in models of incompressible
fluid dynamics, there are examples where linear stability analysis predicts
stability but transient simulations exhibit significant growth of infinitesimal
perturbations. This behavior can be predicted by pseudo-spectral analysis. In
this study, we show that an approach similar to pseudo-spectral analysis can be
performed inexpensively using stochastic collocation methods and the results
can be used to provide quantitative information about instability. In addition,
we demonstrate that the results of the perturbation analysis provide insight
into the behavior of unsteady flow simulations.

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The categories of this paper are: hep-th
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph