Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of the tamed Euler scheme for stochastic differential
  equations with Piecewise Continuous Arguments under non-Lipschitz continuous
  coefficients   Recently, Martin Hutzenthaler pointed out that the explicit Euler method
fails to converge strongly to the exact solution of a stochastic differential
equation (SDE) with superlinearly growing and globally one sided Lipschitz
drift coefficient. Afterwards, he proposed an explicit and easily implementable
Euler method, i.e tamed Euler method, for such an SDE and showed that this
method converges strongly with order of one half. In this paper, we use the
tamed Euler method to solve the stochastic differential equations with
piecewise continuous arguments (SEPCAs) with superlinearly growing coefficients
and prove that this method is convergent with strong order one half.

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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph