Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All-stages-implicit and strong-stability-preserving implicit-explicit
  Runge-Kutta time discretization schemes for hyperbolic systems with stiff
  relaxation terms   We construct eight implicit-explicit (IMEX) Runge-Kutta (RK) schemes up to
third order of the type in which all stages are implicit so that they can be
used in the zero relaxation limit in a unified and convenient manner. These
all-stages-implicit (ASI) schemes attain the strong-stability-preserving (SSP)
property in the limiting case, and two are SSP for not only the explicit part
but also the implicit part and the entire IMEX scheme. Three schemes can
completely recover to the designed accuracy order in two sides of the
relaxation parameter for both equilibrium and non-equilibrium initial
conditions. Two schemes converge nearly uniformly for equilibrium cases. These
ASI schemes can be used for hyperbolic systems with stiff relaxation terms or
differential equations with some type constraints.

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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: gr-qc