33 citations · 164 across the 51 of their papers we have counts for
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Numerical inverse scattering transform for the defocusing nonlinear Schrödinger equation with box-type initial conditions on a nonzero background
Aikaterini Gkogkou, Barbara Prinari, Thomas Trogdon
We present a method to solve numerically the Cauchy problem for the defocusing nonlinear Schrödinger (NLS) equation with a box-type initial condition (IC) having a nontrivial backg…
On the Asymptotics of Orthogonal Polynomials on Multiple Intervals with Non-Analytic Weights
Thomas Trogdon
We consider the asymptotics of orthogonal polynomials for measures that are differentiable, but not necessarily analytic, multiplicative perturbations of Jacobi-like measures suppo…
The Akhiezer iteration
Cade Ballew, Thomas Trogdon
We develop the Akhiezer iteration, a generalization of the classical Chebyshev iteration, for the inner product-free, iterative solution of indefinite linear systems using orthogon…
The ultraspherical rectangular collocation method and its convergence
Thomas Trogdon
We develop the ultraspherical rectangular collocation (URC) method, a collocation implementation of the sparse ultraspherical method of Olver \& Townsend for two-point boundary-val…