Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New cubature formulae and hyperinterpolation in three variables   A new algebraic cubature formula of degree $2n+1$ for the product Chebyshev
measure in the $d$-cube with $\approx n^d/2^{d-1}$ nodes is established. The
new formula is then applied to polynomial hyperinterpolation of degree $n$ in
three variables, in which coefficients of the product Chebyshev orthonormal
basis are computed by a fast algorithm based on the 3-dimensional FFT.
Moreover, integration of the hyperinterpolant provides a new Clenshaw-Curtis
type cubature formula in the 3-cube.

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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat