N. Dyn

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math.NA2026

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 $R^{d}$

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 $R^{d}$ , $F : [a, b] \to K (R^{d})$ , we discu…

math.NA2024

Improving the convergence analysis of linear subdivision schemes

Nira Dyn, Nir Sharon

This work presents several new results concerning the analysis of the convergence of binary, univariate, and linear subdivision schemes, all related to the {\it contractivity facto…

Subdivision Schemes in Metric Spaces

Approximation of Set-Valued Functions with images sets in Rd

Improving the convergence analysis of linear subdivision schemes

Approximation of Set-Valued Functions with images sets in $R^{d}$