Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular, general purpose ODE integration package to solve large number
  of independent ODE systems on GPUs   A general purpose, modular program package for the integration of large
number of independent ordinary differential equation systems capable of using
professional graphics cards is presented. The available numerical schemes are
the explicit and adaptive Runge--Kutta--Cash--Karp algorithm and the explicit
fourth order Runge--Kutta method with fixed time step. In order to harness the
huge processing power of graphics cards, the intermediate points of the
computed trajectories are not stored. As a compensate, with pre-declared device
functions, the required special features or properties of a solution can be
easily extracted and stored each into a dedicated variable. For instance, the
maximum and minimum values and/or their time instances. Event handling is also
incorporated into the package in order to detect special points which can be
stored as well. Moreover, again with pre-declared device function calls at such
special points, the efficient handling of non-smooth dynamics---e.g. impact
dynamics---is possible. Several test cases are presented to demonstrate the
flexibility of the pre-declared device functions and the strength of the
program package. The applied models are the simple Duffing oscillator, the more
complex Keller--Miksis equation known in bubble dynamics, and a system
describing the behaviour of a pressure relief valve that can exhibit impact
dynamics.

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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin