Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model reduction in Smoluchowski-type equations   In this paper we utilize the Proper Orthogonal Decomposition (POD) method for
model order reduction in application to Smoluchowski aggregation equations with
source and sink terms. In particular, we show in practice that there exists a
low-dimensional space allowing to approximate the solutions of aggregation
equations. We also demonstrate that it is possible to model the aggregation
process with the complexity depending only on dimension of such a space but not
on the original problem size. In addition, we propose a method for
reconstruction of the necessary space without solving of the full evolutionary
problem, which can lead to significant acceleration of computations, examples
of which are also presented.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
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The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess