Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Logarithmic Euler Maruyama Scheme for Multi Dimensional Stochastic Delay
  Differential Equation   In this paper, we extend the logarithmic Euler-Maruyama scheme for stochastic
delay differential equation in one dimension to the part where we propose a
scheme for a system of stochastic delay differential equations. We then show
that the scheme always maintains positivity subject to initial conditions. We
then show the convergence of the proposed Euler-Maruyama scheme. With this
scheme, all the approximate solutions are positive and the rate of convergence
of this scheme is 0.5.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th