Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A bi-fidelity method for the multiscale Boltzmann equation with random
  parameters   In this paper, we study the multiscale Boltzmann equation with
multi-dimensional random parameters by a bi-fidelity stochastic collocation
(SC) method developed in [A. Narayan, C. Gittelson and D. Xiu, SIAM J. Sci.
Comput., 36 (2014); X. Zhu, A. Narayan and D. Xiu, SIAM J. Uncertain. Quantif.,
2 (2014)]. By choosing the compressible Euler system as the low-fidelity model,
we adapt the bi-fidelity SC method to combine computational efficiency of the
low-fidelity model with high accuracy of the high-fidelity (Boltzmann) model.
With only a small number of high-fidelity asymptotic-preserving solver runs for
the Boltzmann equation, the bi-fidelity approximation can capture well the
macroscopic quantities of the solution to the Boltzmann equation in the random
space. A priori estimate on the accuracy between the high- and bi-fidelity
solutions together with a convergence analysis is established. Finally, we
present extensive numerical experiments to verify the efficiency and accuracy
of our proposed method.

18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat