Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combined prefactored compact schemes for first- and second-order
  derivatives: conceptual derivation   The derivation of combined prefactored compact schemes for first and second
order derivatives is described here, relying on the Fourier analysis of the
original prefactored compact schemes. By this approach, the order of accuracy
of the original schemes can be increased from sixth to eight, or from eight to
tenth (depending on the order of the original scheme), while the number of grid
points in the stencil is kept the same. Here, we only frame the conceptual
derivation of the schemes, leading to a closed set of equations for the
weights.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin