Low Reynolds number fluid flows are governed by the Stokes equations. In...
AAA rational approximation has normally been carried out on a discrete s...
In this short, conceptual paper we observe that essentially the same
mat...
Results on the rational approximation of functions containing singularit...
Müntz's theorem asserts, for example, that the even powers 1, x^2,
x^4,…...
We propose AAA rational approximation as a method for interpolating or
a...
Often the easiest way to discretize an ordinary or partial differential
...
A two-step method for solving planar Laplace problems via rational
appro...
Gopal and Trefethen recently introduced "lightning solvers" for the 2D
L...
The standard design principle for quadrature formulas is that they shoul...
This article is about both approximation theory and the numerical soluti...
Rational approximations of functions with singularities can converge at ...
Vandermonde matrices are exponentially ill-conditioned, rendering the
fa...
New algorithms are presented for numerical conformal mapping based on
ra...
Analytic continuation is ill-posed, but becomes merely ill-conditioned
(...
Rational minimax approximation of real functions on real intervals is an...
A new method is introduced for solving Laplace problems on 2D regions wi...