Results 221 to 230 of about 14,407 (260)

A multivariate Powell–Sabin interpolant

Advances in Computational Mathematics, 2007
The problem of constructing a \({C}^{1}\) piecewise quadratic interpolant to positional and gradient data defined at the vertices of a tessellation of \(n\)-simplices in \(\mathbb R^{n}\) is approached. The authors propose for the interpolation scheme to split the \(n\)-simplices in an appropriately tessellation such that subdivision points satisfy ...
Sorokina, T., Worsey, A. J.
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Improved Hermite multivariate polynomial interpolation

2006 IEEE International Symposium on Information Theory, 2006
In this paper we give an algorithm with complexity O(mu2 ) to solve Hermite multivariate polynomial interpolation with mu conditions on its Hasse derivatives. In the case of bivariate interpolation used to perform list-decoding on Reed-Solomon of length n and dimension k with multiplicity m on each point, it permits to obtain a complexity in O(n2m4 ...
Gaborit, Philippe, Ruatta, Olivier
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On multivariate Hermite interpolation

Advances in Computational Mathematics, 1995
The authors study the problem of Hermite interpolation by polynomials in several variables. They adopt a very general formulation of this problem, consisting in interpolation of consecutive chains of directional derivatives. By using the notion of blockwise structure introduced by the authors in a previous paper [Math. Comp.
Sauer, Thomas, Xu, Yuan
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Multivariate Pointwise Interpolation

1993
In this chapter, we consider the problem of interpolation of values of a function and its partial derivatives by multivariate polynomials from a certain finite-dimensional space. The interpolation problem consists of the following components: a) the space of polynomials $$\pi (S) = \{ P:P(x) = P({x_1},...,{x_k}) = \sum\limits_{\alpha ...
B. D. Bojanov, H. A. Hakopian, A. A. Sahakian   +2 more
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Multivariate Smoothing and Interpolating Splines

SIAM Journal on Numerical Analysis, 1974
A theorem that characterizes spline functions that both smooth and interpolate is given. A bivariate generalization is presented which permits interpolation and smoothing of information which is not necessarily on a rectangular grid. A theorem which involves reproducing kernels for Hilbert spaces unifies this theory.
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Multivariate Hermite Interpolation on Riemannian Manifolds

SIAM Journal on Scientific Computing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ralf Zimmermann, Ronny Bergmann
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Optimal Multivariate Interpolation

2005
In this chapter, we are concerned with the problem of multivariate data interpolation. The main focus lies on the concept of minimizing a quadratic form which, in practice, emerges from a physical model, subject to the interpolation constraints. The approach is a natural extension of the one-dimensional polynomial spline interpolation. Besides giving a
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Multivariate Polynomial Interpolation

1990
In this paper, we present multivariate polynomial interpolation methods which are natural extension of the most well-known methods for univariate polynomial interpolation. Special emphasis is put on the Newton approach, and some algorithms of this type are developed in sections 3 and 5.
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Multivariate Mean Value Interpolation

1993
Let T = {t 0 ,... ,t r } ∈ ℝ be an arbitrary set of knots (not necessarily distinct) and µ j := {i : t i = t j } - the multiplicity of the point t j in T. The Hermite interpolant of a function f is defined as a unique polynomial P f µπr (ℝ) satisfying (see Chapter 1) $$P_f^{(m)}({t_j}) = {f^{(m)}}({t_j}),\;m = 0,...,{\mu _j} - 1,\;j = {i_1},{i_2},..
B. D. Bojanov, H. A. Hakopian, A. A. Sahakian   +2 more
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce, Lorenzo Cohen, Karen M Mustian   +2 more
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