Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comparison of boundary correction methods for Strang splitting   In this paper we consider splitting methods in the presence of
non-homogeneous boundary conditions. In particular, we consider the corrections
that have been described and analyzed in Einkemmer, Ostermann 2015 and
Alonso-Mallo, Cano, Reguera 2016. The latter method is extended to the
non-linear case, and a rigorous convergence analysis is provided. We perform
numerical simulations for diffusion-reaction, advection-reaction, and
dispersion-reaction equations in order to evaluate the relative performance of
these two corrections. Furthermore, we introduce an extension of both methods
to obtain order three locally and evaluate under what circumstances this is
beneficial.

1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an