Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence analysis of a Lagrangian numerical scheme in computing
  effective diffusivity of 3D time-dependent flows   In this paper, we study the convergence analysis for a robust stochastic
structure-preserving Lagrangian numerical scheme in computing effective
diffusivity of time-dependent chaotic flows, which are modeled by stochastic
differential equations (SDEs). Our numerical scheme is based on a splitting
method to solve the corresponding SDEs in which the deterministic subproblem is
discretized using structure-preserving schemes while the random subproblem is
discretized using the Euler-Maruyama scheme. We obtain a sharp and
uniform-in-time convergence analysis for the proposed numerical scheme that
allows us to accurately compute long-time solutions of the SDEs. As such, we
can compute the effective diffusivity for time-dependent flows. Finally, we
present numerical results to demonstrate the accuracy and efficiency of the
proposed method in computing effective diffusivity for the time-dependent
Arnold-Beltrami-Childress (ABC) flow and Kolmogorov flow in three-dimensional
space.

34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex