Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete matrix Riccati equations with superposition formulas   An ordinary differential equation is said to have a superposition formula if
its general solution can be expressed as a function of a finite number of
particular solution. Nonlinear ODE's with superposition formulas include matrix
Riccati equations. Here we shall describe discretizations of Riccati equations
that preserve the superposition formulas. The approach is general enough to
include $q$-derivatives and standard discrete derivatives.

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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin