Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of structure-aware Taylor methods for tents   Structure-aware Taylor (SAT) methods are a class of timestepping schemes
designed for propagating linear hyperbolic solutions within a tent-shaped
spacetime region. Tents are useful to design explicit time marching schemes on
unstructured advancing fronts with built-in locally variable timestepping for
arbitrary spatial and temporal discretization orders. The main result of this
paper is that an $s$-stage SAT timestepping within a tent is weakly stable
under the time step constraint $\Delta t \leq Ch^{1+1/s}$, where $\Delta t$ is
the time step size and $h$ is the spatial mesh size. Improved stability
properties are also presented for high order SAT time discretizations coupled
with low order spatial polynomials. A numerical verification of the sharpness
of proven estimates is also included.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
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
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph