Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bivariate Lagrange interpolation at the checkerboard nodes   In this paper, we derive an explicit formula for the bivariate Lagrange basis
polynomials of a general set of checkerboard nodes. This formula generalizes
existing results of bivariate Lagrange basis polynomials at the Padua nodes,
Chebyshev nodes, Morrow-Patterson nodes, and Geronimus nodes. We also construct
a subspace spanned by linearly independent bivariate vanishing polynomials that
vanish at the checkerboard nodes and prove the uniqueness of the set of
bivariate Lagrange basis polynomials in the quotient space defined as the space
of bivariate polynomials with a certain degree by the subspace of bivariate
vanishing polynomials.

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: acc-phys