Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hybrid OpenMP/MPI programs for solving the time-dependent
  Gross-Pitaevskii equation in a fully anisotropic trap   We present hybrid OpenMP/MPI (Open Multi-Processing/Message Passing
Interface) parallelized versions of earlier published C programs (D. Vudragovic
et al., Comput. Phys. Commun. 183, 2021 (2012)) for calculating both stationary
and non-stationary solutions of the time-dependent Gross-Pitaevskii (GP)
equation in three spatial dimensions. The GP equation describes the properties
of dilute Bose-Einstein condensates at ultra-cold temperatures. Hybrid versions
of programs use the same algorithms as the C ones, involving real- and
imaginary-time propagation based on a split-step Crank-Nicolson method, but
consider only a fully-anisotropic three-dimensional GP equation, where
algorithmic complexity for large grid sizes necessitates parallelization in
order to reduce execution time and/or memory requirements per node. Since
distributed memory approach is required to address the latter, we combine MPI
programing paradigm with existing OpenMP codes, thus creating fully flexible
parallelism within a combined distributed/shared memory model, suitable for
different modern computer architectures. The two presented C/OpenMP/MPI
programs for real- and imaginary-time propagation are optimized and accompanied
by a customizable makefile. We present typical scalability results for the
provided OpenMP/MPI codes and demonstrate almost linear speedup until
inter-process communication time starts to dominate over calculation time per
iteration. Such a scalability study is necessary for large grid sizes in order
to determine optimal number of MPI nodes and OpenMP threads per node.

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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: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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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: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an