Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sensitivity analysis on chaotic dynamical system by Non-Intrusive Least
  Square Shadowing (NILSS)   This paper develops the non-intrusive formulation of the Least-squares
shadowing (LSS) method, for computing the sensitivity of long-time averaged
objectives in chaotic dynamical systems. This non-intrusive formulation
constrains the computation to only the unstable subspace, greatly reducing the
cost of LSS for many problems; moreover, it reparametrizes the LSS problem,
requiring only minor modifications to existing tangent solvers. NILSS is
demonstrated on a chaotic flow over a backward-facing step simulated with a
mesh of 12e3 cells.

16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
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The categories of this paper are: q-fin