Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Stochastic Runge-Kutta Methods for the Weak
  Approximation of Stochastic Differential Equations   In the present paper, a class of stochastic Runge-Kutta methods containing
the second order stochastic Runge-Kutta scheme due to E. Platen for the weak
approximation of It\^o stochastic differential equation systems with a
multi-dimensional Wiener process is considered. Order one and order two
conditions for the coefficients of explicit stochastic Runge-Kutta methods are
solved and the solution space of the possible coefficients is analyzed. A full
classification of the coefficients for such stochastic Runge-Kutta schemes of
order one and two with minimal stage numbers is calculated. Further, within the
considered class of stochastic Runge-Kutta schemes coefficients for optimal
schemes in the sense that additionally some higher order conditions are
fulfilled are presented.

32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg