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We extend Newton and Lagrange interpolation to arbitrary dimensions.
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by same author, On wings of splines , Creative Minds, Charmed Lives: Interviews at Institute for Mathematical Sciences, National University of Singapore, World Scientific, 2010, pp. 50–57
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Vladimir I Arnold, Huygens and barrow, Newton and Hooke: Pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals , Springer Science & Business Media, 1990
1990
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1990
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by same author, Computational aspects of polynomial interpolation in several variables , Mathematics of Computation 58
1992
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Ronald Cools and Philip Rabinowitz, Monomial cubature rules since “Stroud”: a compilation , Journal of Computational and Applied Mathematics 48
1993
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2014
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2014
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2015
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2015
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Ben Adcock, Simone Brugiapaglia, and Clayton G Webster, Compressed sensing approaches for polynomial approximation of high-dimensional functions , Compressed Sensing and its Applications, Springer, 2017, pp. 93–124
2017
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Emiliano Cirillo, Kai Hormann, and Jean Sidon, Convergence rates of derivatives of Floater–Hormann interpolants for well-spaced nodes , Applied Numerical Mathematics 116
2017
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2017
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Lloyd N. Trefethen, Multivariate polynomial approximation in the hypercube , Proceedings of the American Mathematical Society 145
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2018
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2018
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Simen Gaure, Usage notes for package chebpol, https://cran.r-project.org/package=chebpol , (2018)
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2018
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Michael Hecht and Ivo F. Sbalzarini, Fast interpolation and Fourier transform in high-dimensional spaces , Intelligent Computing. Proc. 2018 IEEE Computing Conf., Vol. 2, (London, UK) (K. Arai, S. Kapoor, and R. Bhatia, eds.), Advances in Intelligent Systems and Computing, vol. 857, Springer Nature, 2018, pp. 53–75
2018
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Alexander H Barnett, Jeremy Magland, and Ludvig af Klinteberg, A parallel nonuniform fast Fourier transform library based on an ”exponential of semicircle” kernel , SIAM Journal on Scientific Computing 41
2019
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Vladimir Sivkin, Multivariate Lagrange interpolation , technical report, MOSAIC Group, TU Dresden (2019)
2019
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by same author, Approximation theory and approximation practice , vol. 164, SIAM, 2019
2019
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Jannik Michelfeit, multivar_horner: A python package for computing Horner factorisations of multivariate polynomials , Journal of Open Source Software 5
2020
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Sachin Krishnan Thekke Veettil, Gentian Zavalani, Uwe Hernandez Acosta, Ivo F. Sbalzarini, and Michael Hecht, Global polynomial level sets for numerical differential geometry of smooth closed surfaces , SIAM Journal on Scientific Computing 45
2023
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