Riemann-Hilbert Problems, Their Numerical Solution and the Computation of Nonlinear Special Functions T Trogdon, S Olver SIAM, 2016 | 140* | 2016 |
The method of Fokas for solving linear partial differential equations B DECONINCK, TOM TROGDON, V VASAN SIAM Review, 1-24, 2012 | 133 | 2012 |
Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations T Trogdon, S Olver, B Deconinck Physica D: Nonlinear Phenomena 241 (11), 1003-1025, 2012 | 64 | 2012 |
Fast computation of Gauss quadrature nodes and weights on the whole real line A Townsend, T Trogdon, S Olver IMA Journal of Numerical Analysis 36 (1), 337-358, 2016 | 57 | 2016 |
Numerical inverse scattering for the focusing and defocusing nonlinear Schrödinger equations T Trogdon, S Olver Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013 | 52 | 2013 |
Nonlinear steepest descent and numerical solution of Riemann‐Hilbert problems S Olver, T Trogdon Communications on Pure and Applied Mathematics 67 (8), 1353-1389, 2014 | 39 | 2014 |
Universality in numerical computations with random data PA Deift, G Menon, S Olver, T Trogdon Proceedings of the National Academy of Sciences 111 (42), 14973-14978, 2014 | 35 | 2014 |
Numerical computation of the finite-genus solutions of the Korteweg–de Vries equation via Riemann–Hilbert problems T Trogdon, B Deconinck Applied Mathematics Letters 26 (1), 5-9, 2013 | 34 | 2013 |
Experimental Demonstration of the Oscillatory Snake Instability of the Bright Soliton of the Hyperbolic Nonlinear Schrödinger Equation SP Gorza, B Deconinck, P Emplit, T Trogdon, M Haelterman Physical review letters 106 (9), 094101, 2011 | 22 | 2011 |
Universality for the Toda algorithm to compute the largest eigenvalue of a random matrix P Deift, T Trogdon Communications on Pure and Applied Mathematics 71 (3), 505-536, 2018 | 21 | 2018 |
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions T Trogdon, B Deconinck Applicable Analysis 91 (3), 529-544, 2012 | 21 | 2012 |
Gibbs phenomenon for dispersive PDEs on the line G Biondini, T Trogdon SIAM Journal on Applied Mathematics 77 (3), 813-837, 2017 | 20* | 2017 |
On the condition number of the critically-scaled Laguerre unitary ensemble PA Deift, T Trogdon, G Menon Discrete and Continuous Dynamical Systems 36 (8), 4287-4347, 2016 | 20 | 2016 |
Numerical solution of Riemann–Hilbert problems: random matrix theory and orthogonal polynomials S Olver, T Trogdon Constructive Approximation 39, 101-149, 2014 | 20 | 2014 |
Riemann-Hilbert problems, their numerical solution and the computation of nonlinear special functions TD Trogdon | 20 | 2013 |
A Riemann–Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution T Trogdon, B Deconinck Physica D: Nonlinear Phenomena 251, 1-18, 2013 | 19 | 2013 |
Random matrices and the New York City subway system A Jagannath, T Trogdon Physical Review E 96 (3), 030101, 2017 | 18 | 2017 |
Universality for eigenvalue algorithms on sample covariance matrices P Deift, T Trogdon SIAM Journal on Numerical Analysis 55 (6), 2835-2862, 2017 | 17 | 2017 |
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation T Trogdon, B Deconinck Nonlinearity 27 (1), 67, 2013 | 16 | 2013 |
Analysis of stochastic Lanczos quadrature for spectrum approximation T Chen, T Trogdon, S Ubaru International Conference on Machine Learning, 1728-1739, 2021 | 15 | 2021 |