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math.NA2024★ 1 cited
The Laurent-Horner method for validated evaluation of Chebyshev expansions
Jared L. Aurentz, Behnam Hashemi
We develop a simple two-step algorithm for enclosing Chebyshev expansions whose cost is linear in terms of the polynomial degree. The algorithm first transforms the expansion from…
math.NA2021
Least-squares spectral methods for ODE eigenvalue problems
Behnam Hashemi, Yuji Nakatsukasa
We develop spectral methods for ODEs and operator eigenvalue problems that are based on a least-squares formulation of the problem. The key tool is a method for rectangular general…