Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering and uniform in time error estimates for splitting method in
  NLS   We consider the nonlinear Schr{\"o}dinger equation with a defocusing
nonlinearity which is mass-(super)critical and energy-subcritical. We prove
uniform in time error estimates for the Lie-Trotter time splitting
discretization. This uniformity in time is obtained thanks to a vectorfield
which provides time decay estimates for the exact and numerical solutions. This
vectorfield is classical in scattering theory, and requires several technical
modifications compared to previous error estimates for splitting methods.

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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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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: alg-geom
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The categories of this paper are: chao-dyn