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math.NA2026
Convex Bernstein limits and sharp recovery on expanding intervals
Matthew J. Colbrook, Catherine Drysdale
We determine when approximation by convex polynomials on expanding intervals converges to best approximation on the real line by convex entire functions of exponential type at most…
math.NA2025
Universal Methods for Nonlinear Spectral Problems
Matthew J. Colbrook, Catherine Drysdale
Nonlinear spectral problems arise across a range of fields, including mechanical vibrations, fluid-solid interactions, and photonic crystals. Discretizing infinite-dimensional nonl…