Exponential node clustering at singularities for rational approximation, quadrature, and PDEs

Rational approximations of functions with singularities can converge at a root-exponential rate if the poles are exponentially clustered. We begin by reviewing this effect in minimax, least-squares, and AAA approximations on intervals and complex domains, conformal mapping, and the numerical solutio...

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Bibliographic Details
Main Authors: Trefethen, LN, Nakatsukasa, Y, Weideman, JAC
Format: Journal article
Language:English
Published: Springer 2021