Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multilevel Picard approximations of high-dimensional semilinear partial
  differential equations with locally monotone coefficient functions   The full history recursive multilevel Picard approximation method for
semilinear parabolic partial differential equations (PDEs) is the only method
which provably overcomes the curse of dimensionality for general time horizons
if the coefficient functions and the nonlinearity are globally Lipschitz
continuous and the nonlinearity is gradient-independent. In this article we
extend this result to locally monotone coefficient functions. Our results cover
a range of semilinear PDEs with polynomial coefficient functions.

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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: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an