401 citations · 542 across the 32 of their papers we have counts for
5 papers · 2 filters
and rational approximation
Michael S. Ackermann, Sean Reiter, Lloyd N. Trefethen
Using recently developed algorithms, we compute and compare best and rational approximations of analytic functions on the unit disk. Although there is some theory…
Applications of AAA rational approximation
Yuji Nakatsukasa, Lloyd N. Trefethen
The AAA algorithm for rational approximation is employed to illustrate applications of rational functions all across numerical analysis.
Quadrature formulas from rational approximations
Andrew Horning, Lloyd N. Trefethen
It is shown that quadrature formulas in many different applications can be derived from rational approximation of the Cauchy transform of a weight function. Since rational approxim…
Rational approximation
Lloyd N. Trefethen
Potential theory for rational approximation is reviewed by means of examples computed with the AAA algorithm.
Numerical computation of the Schwarz function
Lloyd N. Trefethen
An analytic function can be continued across an analytic arc with the help of the Schwarz function , the analytic function satisfying for . We sho…