Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Error analysis of proper orthogonal decomposition data assimilation
  schemes for the Navier-Stokes equations   The error analysis of a proper orthogonal decomposition (POD) data
assimilation (DA) scheme for the Navier-Stokes equations is carried out. A
grad-div stabilization term is added to the formulation of the POD method.
Error bounds with constants independent on inverse powers of the viscosity
parameter are derived for the POD algorithm. No upper bounds in the nudging
parameter of the data assimilation method are required. Numerical experiments
show that, for large values of the nudging parameter, the proposed method
rapidly converges to the real solution, and greatly improves the overall
accuracy of standard POD schemes up to low viscosities over predictive time
intervals.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th