Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Integral Equation Method for the Cahn-Hilliard Equation in the
  Wetting Problem   We present an integral equation approach to solving the Cahn-Hilliard
equation equipped with boundary conditions that model solid surfaces with
prescribed Young's angles. The discretization of the system in time using
convex splitting leads to a modified biharmonic equation at each time step. To
solve it, we split the solution into a volume potential computed with free
space kernels, plus the solution to a second kind integral equation (SKIE). The
volume potential is evaluated with the help of a box-based volume-FMM method.
For non-box domains, source density is extended by solving a biharmonic
Dirichlet problem. The near-singular boundary integrals are computed using
quadrature by expansion (QBX) with FMM acceleration. Our method has linear
complexity in the number of surface/volume degrees of freedom and can achieve
high order convergence with adaptive refinement to manage error from function
extension.

23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an