Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analogues of Kahan's method for higher order equations of higher degree   Kahan introduced an explicit method of discretization for systems of first
order differential equations with nonlinearities of degree at most two
(quadratic vector fields). Kahan's method has attracted much interest due to
the fact that it preserves many of the geometrical properties of the original
continuous system. In particular, a large number of Hamiltonian systems of
quadratic vector fields are known for which their Kahan discretization is a
discrete integrable system. In this note, we introduce a special class of
explicit order-preserving discretization schemes that are appropriate for
certain systems of ordinary differential equations of higher order and higher
degree.

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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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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: stat
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph