Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upscaling Uncertainty with Dynamic Discrepancy for a Multi-scale Carbon
  Capture System   Uncertainties from model parameters and model discrepancy from small-scale
models impact the accuracy and reliability of predictions of large-scale
systems. Inadequate representation of these uncertainties may result in
inaccurate and overconfident predictions during scale-up to larger models.
Hence multiscale modeling efforts must quantify the effect of the propagation
of uncertainties during upscaling. Using a Bayesian approach, we calibrate a
small-scale solid sorbent model to Thermogravimetric (TGA) data on a functional
profile using chemistry-based priors. Crucial to this effort is the
representation of model discrepancy, which uses a Bayesian Smoothing Splines
(BSS-ANOVA) framework. We use an intrusive uncertainty quantification (UQ)
approach by including the discrepancy function within the chemical rate
expressions; resulting in a set of stochastic differential equations. Such an
approach allows for easily propagating uncertainty by propagating the joint
model parameter and discrepancy posterior into the larger-scale system of rate
expressions. The broad UQ framework presented here may have far-reaching impact
into virtually all areas of science where multiscale modeling is used.

22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs