Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The maximal order of semidiscrete schemes for quasilinear first order
  partial differential equations   We prove that a semidiscrete $(2r+1)$-point scheme for quasilinear first
order PDE cannot attain an order higher than $2r$. Moreover, if the forward
Euler fully discrete scheme obtained from the linearization about any constant
state of the semidiscrete scheme is stable, then the upper bound for the order
of the scheme is $2r-1$. This bound is attained for a wide range of schemes and
equations.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an