Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Structure Preserving Scheme for the Kolmogorov-Fokker-Planck Equation   In this paper we introduce a numerical scheme which preserves the long time
behavior of solutions to the Kolmogorov equation. The method presented is based
on a self-similar change of variables technique to transform the Kolmogorov
equation into a new form, such that the problem of designing structure
preserving schemes, for the original equation, amounts to building a standard
scheme for the transformed equation. We also present an analysis for the
operator splitting technique for the self-similar method and numerical results
for the described scheme.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org