33 citations · 164 across the 51 of their papers we have counts for
5 papers · 1 filter
Sampling unitary invariant ensembles
Sheehan Olver, Raj Rao Nadakuditi, Thomas Trogdon
We develop an algorithm for sampling from the unitary invariant random matrix ensembles. The algorithm is based on the representation of their eigenvalues as a determinantal point…
An extension of the Derrida-Lebowitz-Speer-Spohn equation
Charles Bordenave, Pierre Germain, Thomas Trogdon
Derrida, Lebowitz, Speer and Spohn have proposed a simplified model to describe the low temperature Glauber dynamics of an anchored Toom interface. We show how the derivation of th…
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results
Thomas Trogdon, Bernard Deconinck
All solutions of the Korteweg -- de Vries equation that are bounded on the real line are physically relevant, depending on the application area of interest. Usually, both analytica…
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation
Thomas Trogdon, Bernard Deconinck
In this paper we present the unification of two existing numerical methods for the construction of solutions of the Korteweg-de Vries (KdV) equation. The first method is used to so…
Numerical solution of Riemann--Hilbert problems: random matrix theory and orthogonal polynomials
Sheehan Olver, Thomas Trogdon
In recent developments, a general approach for solving Riemann--Hilbert problems numerically has been developed. We review this numerical framework, and apply it to the calculation…