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- W4293171051 abstract "In this paper, we consider the problem of computing bivariate barycentric and Newton rational interpolation over rectangular grids. Given a set of rectangular grids, under the conditions that the degrees of the numerator and denominator of rational interpolant are prescribed, we provide a matrix method for calculating barycentric weight vector and denominator value vector, which, respectively, induce barycentric and Newton representations of rational interpolants. We aim at constructing the rational interpolants that globally approximate interpolated function. Numerical examples compare the maximum errors of barycentric rational interpolant, Newton rational interpolant, linear interpolant, cubic interpolant and spline interpolant. Numerical results show the higher accuracy of barycentric and Newton rational interpolation." @default.
- W4293171051 created "2022-08-27" @default.
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- W4293171051 date "2022-11-14" @default.
- W4293171051 modified "2023-09-26" @default.
- W4293171051 title "Bivariate Barycentric and Newton Rational Interpolation Over Rectangular Grids" @default.
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- W4293171051 doi "https://doi.org/10.1142/s0218001422590340" @default.
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