1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.NA2015★ 1 cited
Numerical Methods for the Discrete Map
Folkmar Bornemann, Alexander Its, Sheehan Olver +1
As a basic example in nonlinear theories of discrete complex analysis, we explore various numerical methods for the accurate evaluation of the discrete map introduced by Agaf…
math.NA2012
Automatic Deformation of Riemann-Hilbert Problems with Applications to the Painlevé II Transcendents
Georg Wechslberger, Folkmar Bornemann
The stability and convergence rate of Olver's collocation method for the numerical solution of Riemann-Hilbert problems (RHPs) is known to depend very sensitively on the particular…
math.NA2011
Optimal Contours for High-Order Derivatives
Folkmar Bornemann, Georg Wechslberger
As a model of more general contour integration problems we consider the numerical calculation of high-order derivatives of holomorphic functions using Cauchy's integral formula. Bo…