Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a Fast Explicit Operator Splitting Method for the
  Molecular Beam Epitaxy Model   A fast explicit operator splitting (FEOS) method for the molecular beam
epitaxy model has been presented in [Cheng, et al., Fast and stable explicit
operator splitting methods for phase-field models, J. Comput. Phys.,
submitted]. The original problem is split into linear and nonlinear
subproblems. For the linear part, the pseudo-spectral method is adopted; for
the nonlinear part, a 33-point difference scheme is constructed. Here, we give
a compact center-difference scheme involving fewer points for the nonlinear
subproblem. Besides, we analyze the convergence rate of the algorithm. The
global error order $\mathcal{O}(\tau^2+h^4)$ in discrete $L^2$-norm is proved
theoretically and verified numerically. Some numerical experiments show the
robustness of the algorithm for small coefficients of the fourth-order term for
the one-dimensional case. Besides, coarsening dynamics are simulated in large
domains and the $1/3$ power laws are observed for the two-dimensional case.

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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org