Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Nonlinear Fourier Transform Algorithms Using Higher Order
  Exponential Integrators   The nonlinear Fourier transform (NFT) has recently gained significant
attention in fiber optic communications and other engineering fields. Although
several numerical algorithms for computing the NFT have been published, the
design of highly accurate low-complexity algorithms remains a challenge. In
this paper, we present new fast forward NFT algorithms that achieve accuracies
that are orders of magnitudes better than current methods, at comparable run
times and even for moderate sampling intervals. The new algorithms are compared
to existing solutions in multiple, extensive numerical examples.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas