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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Detalles Bibliográficos
Autores principales: Trefethen, Lloyd N., Nakatsukasa, Yuji, Weideman, J. A. C.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7776296/
https://www.ncbi.nlm.nih.gov/pubmed/33424036
http://dx.doi.org/10.1007/s00211-020-01168-2

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7776296/
https://www.ncbi.nlm.nih.gov/pubmed/33424036
http://dx.doi.org/10.1007/s00211-020-01168-2

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