Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High order semi-implicit multistep methods for time dependent partial
  differential equations   We consider the construction of semi-implicit linear multistep methods which
can be applied to time dependent PDEs where the separation of scales in
additive form, typically used in implicit-explicit (IMEX) methods, is not
possible. As shown in Boscarino, Filbet and Russo (2016) for Runge-Kutta
methods, these semi-implicit techniques give a great flexibility, and allows,
in many cases, the construction of simple linearly implicit schemes with no
need of iterative solvers. In this work we develop a general setting for the
construction of high order semi-implicit linear multistep methods and analyze
their stability properties for a prototype linear advection-diffusion equation
and in the setting of strong stability preserving (SSP) methods. Our findings
are demonstrated on several examples, including nonlinear reaction-diffusion
and convection-diffusion problems.

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The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin