2 papers
math.NA2025
Two intriguing variants of the AAA algorithm for rational approximation
William Mitchell
We consider the problem of finding a rational function in barycentric form to approximate a given function or data set in or . The famous AAA algorithm, in…
math.NA2022
Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals
William Mitchell, Abbie Natkin, Paige Robertson +3
Gauss-Legendre quadrature and the trapezoidal rule are powerful tools for numerical integration of analytic functions. For nearly singular problems, however, these standard methods…