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On the convergence of Fourier spectral methods involving noncompact operators

IMA journal of numerical analysis, 2024-07

Trogdon, Thomas

2024

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Numerical computation of the finite-genus solutions of the Korteweg–de Vries equation via Riemann–Hilbert problems

Applied mathematics letters, 2013-01, Vol.26 (1), p.5-9

2013

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Universality in numerical computations with random data

Proceedings of the National Academy of Sciences - PNAS, 2014-10, Vol.111 (42), p.14973-14978

2014

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On spectral and numerical properties of random butterfly matrices

Applied mathematics letters, 2019-09, Vol.95, p.48-58

Trogdon, Thomas

2019

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Scattering and inverse scattering for the AKNS system: A rational function approach

Studies in applied mathematics (Cambridge), 2021-11, Vol.147 (4), p.1443-1480

Trogdon, Thomas

2021

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Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices

Communications on pure and applied mathematics, 2023-05, Vol.76 (5), p.1085-1136, Article 1085

2023

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Stability of the Lanczos algorithm on matrices with regular spectral distributions

Linear algebra and its applications, 2024-02, Vol.682, p.191-237

2024

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An artificially-damped Fourier method for dispersive evolution equations

Applied numerical mathematics, 2023-10, Vol.192, p.19-40

2023

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A Riemann–Hilbert Approach to the Perturbation Theory for Orthogonal Polynomials: Applications to Numerical Linear Algebra and Random Matrix Theory

International mathematics research notices, 2024-03, Vol.2024 (5), p.3975-4061

2024

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A Riemann–Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals

Studies in applied mathematics (Cambridge), 2024-01, Vol.152 (1), p.31-72

2024

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Growth Factors of Random Butterfly Matrices and the Stability of Avoiding Pivoting

SIAM journal on matrix analysis and applications, 2023-09, Vol.44 (3), p.945-970

2023

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On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data

Nonlinearity, 2020-05, Vol.33 (5), p.2211-2269

2020

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The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic

Quarterly of applied mathematics, 2021-03, Vol.79 (1), p.125-161

2021

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Computing the Tracy-Widom Distribution for Arbitrary $\beta>0

Symmetry, integrability and geometry, methods and applications, 2024-01

2024

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Numerical Inverse Scattering for the Toda Lattice

Communications in mathematical physics, 2017-06, Vol.352 (2), p.805-879

2017

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Computation of large-genus solutions of the Korteweg–de Vries equation

Physica. D, 2023-07, Vol.449, p.133715, Article 133715

2023

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The conjugate gradient algorithm on a general class of spiked covariance matrices

Quarterly of applied mathematics, 2022-03, Vol.80 (1), p.99-155

2022

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UNIVERSALITY FOR EIGENVALUE ALGORITHMS ON SAMPLE COVARIANCE MATRICES

SIAM journal on numerical analysis, 2017-01, Vol.55 (6), p.2835-2862

2017

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GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices

Mathematics of computation, 2025-01, Vol.94 (351), p.241-261

2025

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Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix

Communications on pure and applied mathematics, 2018-03, Vol.71 (3), p.505-536

2018

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GIBBS PHENOMENON FOR DISPERSIVE PDEs ON THE LINE

SIAM journal on applied mathematics, 2017-01, Vol.77 (3), p.813-837

2017

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Benchmarking numerical methods for lattice equations with the Toda lattice

Applied numerical mathematics, 2019-07, Vol.141, p.19-35

2019

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The Method of Fokas for Solving Linear Partial Differential Equations

SIAM review, 2014-01, Vol.56 (1), p.159-186

2014

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Evolution partial differential equations with discontinuous data

Quarterly of applied mathematics, 2019-12, Vol.77 (4), p.689-726

2019

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Rational Approximation, Oscillatory Cauchy Integrals, and Fourier Transforms

Constructive approximation, 2016-02, Vol.43 (1), p.71-101

Trogdon, Thomas

2016

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On the convergence of Fourier spectral methods involving noncompact operators

Numerical computation of the finite-genus solutions of the Korteweg–de Vries equation via Riemann–Hilbert problems

Universality in numerical computations with random data

On spectral and numerical properties of random butterfly matrices

Scattering and inverse scattering for the AKNS system: A rational function approach

Universality for the Conjugate Gradient and MINRES Algorithms on Sample Covariance Matrices

Stability of the Lanczos algorithm on matrices with regular spectral distributions

An artificially-damped Fourier method for dispersive evolution equations

A Riemann–Hilbert Approach to the Perturbation Theory for Orthogonal Polynomials: Applications to Numerical Linear Algebra and Random Matrix Theory

A Riemann–Hilbert approach to computing the inverse spectral map for measures supported on disjoint intervals

Growth Factors of Random Butterfly Matrices and the Stability of Avoiding Pivoting

On numerical inverse scattering for the Korteweg-de Vries equation with discontinuous step-like data

The conjugate gradient algorithm on well-conditioned Wishart matrices is almost deterministic

Computing the Tracy-Widom Distribution for Arbitrary $\beta>0

Numerical Inverse Scattering for the Toda Lattice

Computation of large-genus solutions of the Korteweg–de Vries equation

The conjugate gradient algorithm on a general class of spiked covariance matrices

UNIVERSALITY FOR EIGENVALUE ALGORITHMS ON SAMPLE COVARIANCE MATRICES

GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices

Universality for the Toda Algorithm to Compute the Largest Eigenvalue of a Random Matrix

GIBBS PHENOMENON FOR DISPERSIVE PDEs ON THE LINE

Benchmarking numerical methods for lattice equations with the Toda lattice

The Method of Fokas for Solving Linear Partial Differential Equations

Evolution partial differential equations with discontinuous data

Rational Approximation, Oscillatory Cauchy Integrals, and Fourier Transforms

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