Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive and elementary stable explicit nonstandard Runge-Kutta methods
  for a class of autonomous dynamical systems   In this paper, we construct explicit nonstandard Runge-Kutta (ENRK) methods
which have higher accuracy order and preserve two important properties of
autonomous dynamical systems, namely, the positivity and linear stability.
These methods are based on the classical explicit Runge-Kutta methods, where
instead of the usual $h$ in the formulas there stands a function $\varphi (h)$.
It is proved that the constructed methods preserve the accuracy order of the
original Runge-Kutta methods. The numerical simulations confirm the validity of
the obtained theoretical results.

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The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph