Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spurious caustics of Dispersion Relation Preserving schemes   A linear dispersive mechanism leading to a burst in the $L_\infty$ norm of
the error in numerical simulation of polychromatic solutions is identified.
This local error pile-up corresponds to the existence of spurious caustics,
which are allowed by the dispersive nature of the numerical error. From the
mathematical point of view, spurious caustics are related to extrema of the
numerical group velocity and are physically associated to interactions between
rays defined by the characteristic lines of the discrete system. This paper
extends our previous work about classical schemes to dispersion-relation
preserving schemes.

1
The categories of this paper are: cs
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci