Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Acceleration of Source Iteration using the Dynamic Mode Decomposition   We present a novel acceleration technique for improving the convergence of
source iteration for discrete ordinates transport calculations. Our approach
uses the idea of the dynamic mode decomposition (DMD) to estimate the slowly
decaying modes from source iteration and remove them from the solution. The
memory cost of our acceleration technique is that the scalar flux for a number
of iterations must be stored; the computational cost is a singular value
decomposition of a matrix comprised of those stored scalar fluxes.On 1-D slab
geometry problems we observe an order of magnitude reduction in the number of
transport sweeps required compared to source iteration and that the number of
sweeps required is independent of the scattering ratio in the problem. These
observations hold for an extremely heterogeneous problem and a 2-D problem. In
2-D we do observe that the effectiveness of the approach slowly degrades as the
mesh is refined, but is still about one order of magnitude faster than source
iteration.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat