Results 31 to 40 of about 1,054,196 (331)

Numerical differentiation on scattered data through multivariate polynomial interpolation [PDF]

open access: yesBIT Numerical Mathematics, 2021
We discuss a pointwise numerical differentiation formula on multivariate scattered data, based on the coefficients of local polynomial interpolation at Discrete Leja Points, written in Taylor’s formula monomial basis.
F. Dell’Accio   +3 more
semanticscholar   +1 more source

Interpolation by Multivariate Splines [PDF]

open access: yesMathematics 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
openaire   +1 more source

On multivariate polynomial interpolation [PDF]

open access: greenConstructive Approximation, 1990
We provide a map which associates each finite set Θ in complexs-space with a polynomial space πΘ from which interpolation to arbitrary data given at the points in Θ is possible and uniquely so. Among all polynomial spacesQ from which interpolation at Θ is uniquely possible, our πΘ is of smallest degree. It is alsoD- and scale-invariant.
Carl de Boor, Amos Ron
openalex   +3 more sources

Multivariate fractal interpolation functions: Some approximation aspects and an associated fractal interpolation operator

open access: yesElectronic Transactions on Numerical Analysis, 2022
. In the classical (non-fractal) setting, the natural kinship between theories of interpolation and approximation is well explored. In contrast to this, in the context of fractal interpolation, the interrelation between interpolation and approximation is
K. K. Pandey, P. Viswanathan
semanticscholar   +1 more source

Polyharmonic splines generated by multivariate smooth interpolation

open access: bronzeComputers and Mathematics with Applications, 2019
Karel Segeth
openalex   +2 more sources

Multivariate L-spline interpolation

open access: bronzeJournal of Approximation Theory, 1969
Martin H. Schultz
openalex   +3 more sources

On the history of multivariate polynomial interpolation

open access: bronzeJournal of Computational and Applied Mathematics, 2000
The history and development of multivariate polynomial interpolation in the first 75 years of the twentieth century is reviewed.
M. Gasca, Thomas Sauer
openalex   +4 more sources

Performance assessment of interpolation techniques for optimal areal rainfall–temperature estimation: the case of two contrasting river catchments, Akaki and Mille, in Ethiopia

open access: yesJournal 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
doaj   +1 more source

Multivariate interval interpolation

open access: yesJournal of Computational and Applied Mathematics, 1978
AbstractThe problem of multivariate interval interpolation has been defined. Two algorithms for the computation of a multivariate interval interpolating polynomial have been proposed. The algorithms have been compared among themselves with respect to the number of interval arithmetic operations required to compute them and the width of the computed ...
K.L. Majumder, G.P. Bhattacharjee
openaire   +3 more sources

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