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math.NA2024
Weighted Essentially Non-Oscillatory Shepard method
David Levin, José M. Ramón, Juan Ruiz-Alvarez +1
Shepard method is a fast algorithm that has been classically used to interpolate scattered data in several dimensions. This is an important and well-known technique in numerical an…
math.NA2022
Interpolation of Set-Valued Functions
Qusay Muzaffar, Nira Dyn, David Levin
Given a finite number of samples of a continuous set-valued function F, mapping an interval to compact subsets of the real line, we develop good approximations of F, which can be c…
math.NA2021
Explicit multivariate approximations from cell-average data
Sergio Amat, David Levin, Juan Ruiz-Alvarez +1
Given gridded cell-average data of a smooth multivariate function, we present a constructive explicit procedure for generating a high-order global approximation of the function. On…