Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transport reversal for model reduction of hyperbolic partial
  differential equations   Snapshot matrices built from solutions to hyperbolic partial differential
equations exhibit slow decay in singular values, whereas fast decay is crucial
for the success of projection- based model reduction methods. To overcome this
problem, we build on previous work in symmetry reduction [Rowley and Marsden,
Physica D (2000), pp. 1-19] and propose an iterative algorithm that decomposes
the snapshot matrix into multiple shifting profiles, each with a corresponding
speed. Its applicability to typical hyperbolic problems is demonstrated through
numerical examples, and other natural extensions that modify the shift operator
are considered. Finally, we give a geometric interpretation of the algorithm.

30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con