Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Wildland Fire Simulation via Nonlinear Model Order Reduction   We propose a new hyper-reduction method for a recently introduced nonlinear
model reduction framework based on dynamically transformed basis functions and
especially well-suited for advection-dominated systems. Furthermore, we discuss
applying this new method to a wildland fire model whose dynamics feature
traveling combustion waves and local ignition and is thus challenging for
classical model reduction schemes based on linear subspaces. The new
hyper-reduction framework allows us to construct parameter-dependent
reduced-order models (ROMs) with efficient offline/online decomposition. The
numerical experiments demonstrate that the ROMs obtained by the novel method
outperform those obtained by a classical approach using the proper orthogonal
decomposition and the discrete empirical interpolation method in terms of run
time and accuracy.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio