Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Advection of Inertial Particles in the Presence of the History Force:
  Higher Order Numerical Schemes   The equations describing the motion of finite-size particles (inertial
particles) contain in their full form the history force. This force is
represented by an integral whose accurate numerical evaluation is rather
difficult. Here, a systematic way is presented to derive numerical integration
schemes of arbitrary order for the advection of inertial particles with the
history force. This involves the numerical evaluation of integrals with
singular, but integrable, integrands. Explicit specifications of first, second
and third order schemes are given and the accuracy and order of the schemes are
verified using known analytical solutions.

15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat