Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Petviashvili type methods for traveling wave computations: I. Analysis
  of convergence   In this paper a family of fixed point algorithms for the numerical resolution
of some systems of nonlinear equations is designed and analyzed. The family
introduced here generalizes the Petviashvili method and can be applied to the
numerical generation of traveling waves in some nonlinear dispersive systems.
Conditions for the local convergence are derived and numerical comparisons
between different elements of the family are carried out.

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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg