Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A full space-time convergence order analysis of operator splittings for
  linear dissipative evolution equations   The Douglas--Rachford and Peaceman--Rachford splitting methods are common
choices for temporal discretizations of evolution equations. In this paper we
combine these methods with spatial discretizations fulfilling some easily
verifiable criteria. In the setting of linear dissipative evolution equations
we prove optimal convergence orders, simultaneously in time and space. We apply
our abstract results to dimension splitting of a 2D diffusion problem, where a
finite element method is used for spatial discretization. To conclude, the
convergence results are illustrated with numerical experiments.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess