Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Douglas Splitting Methods for Reaction-Diffusion Equations   We present modifications of the second-order Douglas stabilizing corrections
method, which is a splitting method based on the implicit trapezoidal rule.
Inclusion of an explicit term in a forward Euler way is straightforward, but
this will lower the order of convergence. In the modifications considered here,
explicit terms are included in a second-order fashion. For these modified
methods, results on linear stability and convergence are derived. Stability
holds for important classes of reaction-diffusion equations, and for such
problems the modified Douglas methods are seen to be often more efficient than
related methods from the literature.

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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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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: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: solv-int