Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extending the multi-level method for the simulation of stochastic
  biological systems   The multi-level method for discrete state systems, first introduced by
Anderson and Higham [Multiscale Model. Simul. 10:146--179, 2012], is a highly
efficient simulation technique that can be used to elucidate statistical
characteristics of biochemical reaction networks. A single point estimator is
produced in a cost-effective manner by combining a number of estimators of
differing accuracy in a telescoping sum, and, as such, the method has the
potential to revolutionise the field of stochastic simulation. The first term
in the sum is calculated using an approximate simulation algorithm, and can be
calculated quickly but is of significant bias. Subsequent terms successively
correct this bias by combining estimators from approximate stochastic
simulations algorithms of increasing accuracy, until a desired level of
accuracy is reached.
  In this paper we present several refinements of the multi-level method which
render it easier to understand and implement, and also more efficient. Given
the substantial and complex nature of the multi-level method, the first part of
this work (Sections 2 - 5) is written as a tutorial, with the aim of providing
a practical guide to its use. The second part (Sections 6 - 8) takes on a form
akin to a research article, thereby providing the means for a deft
implementation of the technique, and concludes with a discussion of a number of
open problems.

2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas