33 citations · 164 across the 51 of their papers we have counts for
6 papers · 1 filter
Gibbs phenomenon for dispersive PDEs on the line
Gino Biondini, Thomas Trogdon
We investigate the Cauchy problem for linear, constant-coefficient evolution PDEs on the real line with discontinuous initial conditions (ICs) in the small-time limit. The small-ti…
Fast computation of Gauss quadrature nodes and weights on the whole real line
Alex Townsend, Thomas Trogdon, Sheehan Olver
A fast and accurate algorithm for the computation of Gauss-Hermite and generalized Gauss-Hermite quadrature nodes and weights is presented. The algorithm is based on Newton's metho…
Universality in Numerical Computations with Random Data. Case Studies
Percy Deift, Govind Menon, Sheehan Olver +1
The authors present evidence for universality in numerical computations with random data. Given a (possibly stochastic) numerical algorithm with random input data, the time (or num…
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…
Rational approximation, oscillatory Cauchy integrals and Fourier transforms
Thomas Trogdon
We develop the convergence theory for a well-known method for the interpolation of functions on the real axis with rational functions. Precise new error estimates for the interpola…
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…