Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multi-dimensional filtering: Reducing the dimension through rotation   Over the past few decades there has been a strong effort towards the
development of Smoothness-Increasing Accuracy-Conserving (SIAC) filters for
Discontinuous Galerkin (DG) methods, designed to increase the smoothness and
improve the convergence rate of the DG solution through this post-processor.
These advantages can be exploited during flow visualization, for example by
applying the SIAC filter to the DG data before streamline computations [Steffan
{\it et al.}, IEEE-TVCG 14(3): 680-692]. However, introducing these filters in
engineering applications can be challenging since a tensor product filter grows
in support size as the field dimension increases, becoming computationally
expensive. As an alternative, [Walfisch {\it et al.}, JOMP 38(2);164-184]
proposed a univariate filter implemented along the streamline curves. Until
now, this technique remained a numerical experiment. In this paper we introduce
the SIAC line filter and explore how the orientation, structure and filter size
affect the order of accuracy and global errors. We present theoretical error
estimates showing how line filtering preserves the properties of traditional
tensor product filtering, including smoothness and improvement in the
convergence rate. Furthermore, numerical experiments are included, exhibiting
how these filters achieve the same accuracy at significantly lower
computational costs, becoming an attractive tool for the scientific
visualization community.

3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess