46 citations · 46 across the 3 of their papers we have counts for
4 papers
Rigorous asymptotics of a KdV soliton gas
Manuela Girotti, Tamara Grava, Robert Jenkins +1
We analytically study the long time and large space asymptotics of a new broad class of solutions of the KdV equation introduced by Dyachenko, Zakharov, and Zakharov. These solutio…
Dynamic behavior of the roots of the Taylor polynomials of the Riemann xi function with growing degree
Robert Jenkins, Ken D. T. -R. McLaughlin
We establish a uniform approximation result for the Taylor polynomials of the xi function of Riemann which is valid in the entire complex plane as the degree grows. In particular,…
Spectral approach to D-bar problems
C. Klein, K. McLaughlin
We present the first numerical approach to D-bar problems having spectral convergence for real analytic rapidly decreasing potentials. The proposed method starts from a formulation…
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
Ferenc Balogh, Marco Bertola, Seung Yeop Lee +1
We consider the orthogonal polynomials with respect to the measure over the whole complex plane. We obtain the stron…