Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A matrix-oriented POD-DEIM algorithm applied to semilinear matrix
  differential equations   We are interested in numerically approximating the solution ${\bf U}(t)$ of
the large dimensional semilinear matrix differential equation $\dot{\bf U}(t) =
{ \bf A}{\bf U}(t) + {\bf U}(t){ \bf B} + {\cal F}({\bf U},t)$, with
appropriate starting and boundary conditions, and $ t \in [0, T_f]$. In the
framework of the Proper Orthogonal Decomposition (POD) methodology and the
Discrete Empirical Interpolation Method (DEIM), we derive a novel
matrix-oriented reduction process leading to an effective, structure aware low
order approximation of the original problem. The reduction of the nonlinear
term is also performed by means of a fully matricial interpolation using left
and right projections onto two distinct reduction spaces, giving rise to a new
two-sided version of DEIM. By maintaining a matrix-oriented reduction, we are
able to employ first order exponential integrators at negligible costs.
  Numerical experiments on benchmark problems illustrate the effectiveness of
the new setting.

35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol