Results 41 to 50 of about 1,054,196 (331)

High-Resolution Precipitation Modeling in Complex Terrains Using Hybrid Interpolation Techniques: Incorporating Physiographic and MODIS Cloud Cover Influences

open access: yesRemote 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
doaj   +1 more source

On the Regularity of Multivariate Hermite Interpolation

open access: bronzeJournal of Approximation Theory, 2000
In this paper, former joint studies of Gevorgian, Sahakian and the author concerning multivariate Hermite interpolation are continued. Consider \(n_1,\dots,n_s\) to be a set of multiplicities, and let \(n\) denote the maximal total degree of the interpolating polynomials. Then the scheme \({\mathcal N}=\{n_1, \dots, n_s;n\}\) is said to be independent,
Hakop Hakopian
openalex   +3 more sources

Guaranteed passive parameterized admittance-based macromodeling [PDF]

open access: yes, 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
core   +2 more sources

Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials [PDF]

open access: yesFoundations of Computational Mathematics, 2020
Sparse interpolation refers to the exact recovery of a function as a short linear combination of basis functions from a limited number of evaluations.
E. Hubert, M. Singer
semanticscholar   +1 more source

General multivariate arctangent function activated neural network approximations

open access: yesJournal of Numerical Analysis and Approximation Theory, 2022
Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
doaj   +1 more source

Version 4 of the CRU TS monthly high-resolution gridded multivariate climate dataset

open access: yesScientific Data, 2020
CRU TS (Climatic Research Unit gridded Time Series) is a widely used climate dataset on a 0.5° latitude by 0.5° longitude grid over all land domains of the world except Antarctica.
I. Harris   +3 more
semanticscholar   +1 more source

An estimate for multivariate interpolation

open access: yesJournal of Approximation Theory, 1985
An estimate of the \(L^ p=L^ p(R^ n)\) norm of a function is given in terms of its values on a (not necessarily regular) grid of points and the \(L^ p\) norms of its k-th order derivatives, \(kp>n\). The result is useful in obtaining estimates for multivariate interpolation schemes; this is illustrated by an example involving generalized splines.
Madych, W.R, Potter, E.H
openaire   +1 more source

Approximations by multivariate sublinear and Max-product operators under convexity

open access: yesDemonstratio Mathematica, 2018
Here we search quantitatively under convexity the approximation of multivariate function by general multivariate positive sublinear operators with applications to multivariate Max-product operators.
Anastassiou George A.
doaj   +1 more source

On Multivariate Interpolation [PDF]

open access: yesStudies 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 ...
openaire   +2 more sources

Canonical Sets of Best L1-Approximation

open access: yesJournal of Function Spaces and Applications, 2012
In mathematics, the term approximation usually means either interpolation on a point set or approximation with respect to a given distance. There is a concept, which joins the two approaches together, and this is the concept of characterization of the ...
Dimiter Dryanov, Petar Petrov
doaj   +1 more source

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