Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On node distributions for interpolation and spectral methods   A scaled Chebyshev node distribution is studied in this paper. It is proved
that the node distribution is optimal for interpolation in $C_M^{s+1}[-1,1]$,
the set of $(s+1)$-time differentiable functions whose $(s+1)$-th derivatives
are bounded by a constant $M>0$. Node distributions for computing spectral
differentiation matrices are proposed and studied. Numerical experiments show
that the proposed node distributions yield results with higher accuracy than
the most commonly used Chebyshev-Gauss-Lobatto node distribution.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph