Results 11 to 20 of about 1,054,196 (331)
Construction of Multivariate Interpolation Hermite Polynomials for Finite Element Method [PDF]
EPJ Web of Conferences, 2020 A new algorithm for constructing multivariate interpolation Hermite polynomials in analytical form in a multidimensional hypercube is presented. These polynomials are determined from a specially constructed set of values of the polynomials themselves and
Chuluunbaatar Galmandakh +8 more
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach
Journal of Applied Mathematics, 2022 The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
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Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations [PDF]
Quantum, 2021 In this work we study the encoding of smooth, differentiable multivariate functions in quantum registers, using quantum computers or tensor-network representations. We show that a large family of distributions can be encoded as low-entanglement states of
Juan José García-Ripoll
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Multivariate sparse interpolation using randomized Kronecker substitutions [PDF]
, 2014 We present new techniques for reducing a multivariate sparse polynomial to a univariate polynomial. The reduction works similarly to the classical and widely-used Kronecker substitution, except that we choose the degrees randomly based on the number of ...
Andrew Arnold, Daniel S. Roche
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Faster Algorithms for Multivariate Interpolation with Multiplicities and Simultaneous Polynomial Approximations [PDF]
IEEE Transactions on Information Theory, 2014 The interpolation step in the Guruswami-Sudan algorithm is a bivariate interpolation problem with multiplicities commonly solved in the literature using either structured linear algebra or basis reduction of polynomial lattices.
Muhammad F. I. Chowdhury +4 more
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Necessary Conditions for Interpolation by Multivariate Polynomials [PDF]
Computational Methods and Function Theory, 2021 Let Ω\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Omega $$\end ...
J. Antezana, J. Marzo, J. Ortega-Cerdà
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On multivariate Lagrange interpolation [PDF]
Mathematics of Computation, 1995 Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions.
Thomas Sauer, Yuan Xu
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MULTIVARIATE AFFINE FRACTAL INTERPOLATION [PDF]
Fractals, 2020 Fractal interpolation functions capture the irregularity of some data very effectively in comparison with the classical interpolants. They yield a new technique for fitting experimental data sampled from real world signals, which are usually difficult to
M. Navascués, S. Katiyar, A. Chand
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Multivariate Polynomial Interpolation for Cubical Zero-Dimensional Schemes
AxiomsWe compute the multigraded Hilbert function of general unions of certain degree-8 zero-dimensional schemes, called 2cubes, for the Segre 3-folds and the three-dimensional smooth quadric hypersurface.
Edoardo Ballico
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A Boolean sum interpolation for multivariate functions of bounded variation
Frontiers in Applied Mathematics and StatisticsThis paper deals with the approximation error of trigonometric interpolation for multivariate functions of bounded variation in the sense of Hardy-Krause.
Jürgen Prestin, Yevgeniya V. Semenova
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