Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On explicit order 1.5 approximations with varying coefficients: the case
  of super-linear diffusion coefficients   A conjecture appears in \cite{milsteinscheme}, in the form of a remark, where
it is stated that it is possible to construct, in a specified way, any high
order explicit numerical schemes to approximate the solutions of SDEs with
superlinear coefficients. We answer this conjecture affirmatively for the case
of order 1.5 approximations and show that the suggested methodology works.
Moreover, we explore the case of having H\"{o}lder continuous derivatives for
the diffusion coefficients.

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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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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: hep-th
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org