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- W4300909571 abstract "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." @default.
- W4300909571 created "2022-10-04" @default.
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- W4300909571 date "2021-07-13" @default.
- W4300909571 modified "2023-09-27" @default.
- W4300909571 title "Bivariate Lagrange interpolation at the checkerboard nodes" @default.
- W4300909571 doi "https://doi.org/10.48550/arxiv.2107.06380" @default.
- W4300909571 hasPublicationYear "2021" @default.
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