Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Random set solutions to elliptic and hyperbolic partial differential
  equations   The past decades have seen increasing interest in modelling uncertainty by
heterogeneous methods, combining probability and interval analysis, especially
for assessing parameter uncertainty in engineering models. A unifying
mathematical framework admitting the combination of a wide range of such
methods is the theory of random sets, describing input and output of a
structural model by set-valued random variables. The purpose of this paper is
to highlight the mathematics behind this approach. The modelling and
computational implications are discussed and demonstrated with the help of
prototypical partial differential equations -- a scalar elliptic equation from
elastostatics and hyperbolic systems arising in elastodynamics.

5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg