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math.NA2025
Subdivision Schemes in Metric Spaces
Nira Dyn, Nir Sharon
We develop a unified framework for nonlinear subdivision schemes on complete metric spaces (CMS). We begin with CMS preliminaries and formalize refinement in CMS, retaining key str…
math.NA2025
Approximation of Set-Valued Functions with images sets in
Nira Dyn, David Levin
Given a finite number of samples of a continuous set-valued function F, mapping an interval to non-empty compact subsets of , , we discu…