Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial discretization of partial differential equations with integrals   We consider the problem of constructing spatial finite difference
approximations on a fixed, arbitrary grid, which have analogues of any number
of integrals of the partial differential equation and of some of its
symmetries. A basis for the space of of such difference operators is
constructed; most cases of interest involve a single such basis element. (The
``Arakawa'' Jacobian is such an element.) We show how the topology of the grid
affects the complexity of the operators.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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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: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: physics