Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp error estimates on a stochastic structure-preserving scheme in
  computing effective diffusivity of 3D chaotic flows   In this paper, we study the problem of computing the effective diffusivity
for particles moving in chaotic flows. Instead of solving a
convection-diffusion type cell problem in the Eulerian formulation (arising
from homogenization theory for parabolic equations), we compute the motion of
particles in the Lagrangian formulation, which is modeled by stochastic
differential equations (SDEs). A robust numerical integrator based on a
splitting method was proposed to solve the SDEs and a rigorous error analysis
for the numerical integrator was provided using the backward error analysis
(BEA) technique [35]. However, the upper bound in the error estimate is not
sharp. To improve our result, we propose a new and uniform in time error
analysis for the numerical integrator that allows us to get rid of the
exponential growth factor in our previous error estimate. Our new error
analysis is based on a probabilistic approach, which interprets the solution
process generated by our numerical integrator as a Markov process. By exploring
the ergodicity of the solution process, we prove the convergence analysis of
our method in computing effective diffusivity over infinite time. We present
numerical results to verify the accuracy and efficiency of the proposed method
in computing effective diffusivity for several chaotic flows, especially the
Arnold-Beltrami-Childress (ABC) flow and Kolmogorov flow in three-dimensional
space.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph