Results 11 to 20 of about 93,507 (297)
Multivariate Newton Interpolation [PDF]
, 2018 For $m,n \in \mathbb{N}$, $m\geq 1$ and a given function $f : \mathbb{R}^m\longrightarrow \mathbb{R}$, the polynomial interpolation problem (PIP) is to determine a unisolvent node set $P_{m,n} \subseteq \mathbb{R}^m$ of $N(m,n):=|P_{m,n}|=\binom{m+n}{n}$ points and the uniquely defined polynomial $Q_{m,n,f}\in _{m,n}$ in $m$ variables of degree ...
Michael Hecht +3 more
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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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Interpolation by multivariate splines [PDF]
Mathematics of Computation, 1988 A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.
Charles K. Chui +2 more
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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 represent using the classical approaches.
Navascués, M.A. +2 more
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On Multivariate Interpolation [PDF]
Studies in Applied Mathematics, 2005 A new approach to interpolation theory for functions of several variables is proposed. We develop a multivariate divided difference calculus based on the theory of noncommutative quasi‐determinants. In addition, intriguing explicit formulae that connect the classical finite difference interpolation coefficients for univariate curves with multivariate ...
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Multivariate Approximation and Interpolation [PDF]
, 1990 Werner Haußmann, Κ. Jetter
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Multivariate interpolation: Preserving and exploiting symmetry [PDF]
Journal of Symbolic Computation, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodriguez Bazan, Erick, Hubert, Evelyne
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Journal of Water and Climate Change, 2022 In the topographic complex catchments, landscape features have a significant impact on the spatial prediction of rainfall and temperature. In this study, performance assessments were made of various interpolation techniques for the prediction of the ...
Hirpo Gudeta Bati +2 more
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Remote Sensing, 2023 The inclusion of physiographic and atmospheric influences is critical for spatial modeling of orographic precipitation in complex terrains. However, attempts to incorporate cloud cover frequency (CCF) data when interpolating precipitation are limited ...
Karam Alsafadi +6 more
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Guaranteed passive parameterized admittance-based macromodeling [PDF]
, 2010 We propose a novel parametric macromodeling technique for admittance and impedance input-output representations parameterized by design variables such as geometrical layout or substrate features. It is able to build accurate multivariate macromodels that
Dhaene, Tom +2 more
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