Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. - Thomas Trogdon; Bernard Deconinck (Appl. Math. Lett., 2013)

The Method of Fokas for Solving Linear Partial Differential Equations. - Bernard Deconinck; Thomas Trogdon; Vishal Vasan (SIAM Rev., 2014)

Universality in halting time and its applications in optimization. - Levent Sagun; Thomas Trogdon; Yann LeCun (CoRR, 2015)

Gibbs Phenomenon for Dispersive PDEs on the Line. - Gino Biondini; Thomas Trogdon (SIAM J. Appl. Math., 2017)

Universality for Eigenvalue Algorithms on Sample Covariance Matrices. - Percy Deift; Thomas Trogdon (SIAM J. Numer. Anal., 2017)

On spectral and numerical properties of random butterfly matrices. - Thomas Trogdon (Appl. Math. Lett., 2019)

The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deteriministic. - Percy Deift; Thomas Trogdon (CoRR, 2019)

Stopping time signatures for some algorithms in cryptography. - Percy Deift; Stephen D. Miller; Thomas Trogdon (IACR Cryptol. ePrint Arch., 2019)

The Numerical Unified Transform Method for Initial-boundary Value Problems on the Half-line. - Bernard Deconinck; Thomas Trogdon; Xin Yang (CoRR, 2020)

Universality for the conjugate gradient and MINRES algorithms on sample covariance matrices. - Elliot Paquette; Thomas Trogdon (CoRR, 2020)

Analysis of stochastic Lanczos quadrature for spectrum approximation. - Tyler Chen; Thomas Trogdon; Shashanka Ubaru (ICML, 2021)

Scattering and inverse scattering for the AKNS system: A rational function approach. - Thomas Trogdon (CoRR, 2021)

The Numerical Unified Transform Method for the Nonlinear Schrödinger equation on the half-line. - Xin Yang; Bernard Deconinck; Thomas Trogdon (CoRR, 2021)

The conjugate gradient algorithm on a general class of spiked covariance matrices. - Xiucai Ding; Thomas Trogdon (CoRR, 2021)

A Riemann-Hilbert approach to the perturbation theory for orthogonal polynomials: Applications to numerical linear algebra and random matrix theory. - Xiucai Ding; Thomas Trogdon (CoRR, 2021)

Randomized matrix-free quadrature for spectrum and spectral sum approximation. - Tyler Chen; Thomas Trogdon; Shashanka Ubaru (CoRR, 2022)

Computation of Large-Genus Solutions of the Korteweg-de Vries Equation. - Deniz Bilman; Patrik Nabelek; Thomas Trogdon (CoRR, 2022)

An artificially-damped Fourier method for dispersive evolution equations. - Anne Liu; Thomas Trogdon (CoRR, 2023)

A Riemann-Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals. - Cade Ballew; Thomas Trogdon (CoRR, 2023)

Stability of the Lanczos algorithm on matrices with regular spectral distributions. - Tyler Chen; Thomas Trogdon (CoRR, 2023)

Computing the Tracy-Widom distribution for arbitrary β>0. - Thomas Trogdon; Yiting Zhang (CoRR, 2023)

On the convergence of spectral methods involving non-compact operators. - Thomas Trogdon (CoRR, 2023)

The Akhiezer iteration. - Cade Ballew; Thomas Trogdon (CoRR, 2023)

Growth Factors of Random Butterfly Matrices and the Stability of Avoiding Pivoting. - John Peca-Medlin; Thomas Trogdon (SIAM J. Matrix Anal. Appl., 2023)

The ultraspherical rectangular collocation method and its convergence. - Thomas Trogdon (CoRR, 2024)

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 (CoRR, 2024)

GMRES, pseudospectra, and Crouzeix's conjecture for shifted and scaled Ginibre matrices. - Tyler Chen; Anne Greenbaum; Thomas Trogdon (Math. Comput., 2024)

Randomized Matrix-Free Quadrature: Unified and Uniform Bounds for Stochastic Lanczos Quadrature and the Kernel Polynomial Method. - Tyler Chen; Thomas Trogdon; Shashanka Ubaru (SIAM J. Sci. Comput., 2025)

The Akhiezer iteration and an inverse-free solver for Sylvester matrix equations. - Cade Ballew; Thomas Trogdon; Heather Wilber (CoRR, 2025)

Efficient computation of soliton gas primitive potentials. - Cade Ballew; Deniz Bilman; Thomas Trogdon (CoRR, 2025)