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Integrable nonlocal derivative nonlinear Schrödinger equations

Inverse problems, 2022-06, Vol.38 (6), p.65003

2022

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Generating new gravitational solutions by matrix multiplication

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2024-03, Vol.480 (2285)

2024

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The two-periodic Aztec diamond and matrix valued orthogonal polynomials

Journal of the European Mathematical Society : JEMS, 2021-01, Vol.23 (4), p.1075-1131

2021

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A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation

Nonlinearity, 2023-10, Vol.36 (10), p.5422-5473

2023

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On the generating function of the Pearcey process

The Annals of applied probability, 2023-08, Vol.33 (4), p.3240

2023

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The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity

Journal of approximation theory, 2023-01, Vol.285, p.105833, Article 105833

2023

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The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]

Advances in mathematics (New York. 1965), 2004-11, Vol.188 (2), p.337-398

2004

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Segal–Wilson approach to integrable systems and Riemann–Hilbert problems

Journal of mathematical analysis and applications, 2016-11, Vol.443 (2), p.797-816

2016

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Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters

Journal of mathematical analysis and applications, 2014-08, Vol.416 (1), p.52-80

2014

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An operator van der Corput estimate arising from oscillatory Riemann–Hilbert problems

Journal of functional analysis, 2014-12, Vol.267 (12), p.4775-4805

2014

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Factorization of a class of symbols with outer functions

Journal of mathematical analysis and applications, 2014-05, Vol.413 (1), p.185-194

2014

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Riemann–Hilbert approach to multi-time processes: The Airy and the Pearcey cases

Physica. D, 2012-12, Vol.241 (23-24), p.2237-2245

2012

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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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Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part

Journal of approximation theory, 2010, Vol.162 (1), p.141-152

Costin, Rodica D.

2010

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Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation

Physica. D, 2012-12, Vol.241 (23-24), p.2226-2236

Claeys, Tom

2012

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Cauchy biorthogonal polynomials

Journal of approximation theory, 2010-04, Vol.162 (4), p.832-867

2010

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A Riemann–Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution

Physica. D, 2013-05, Vol.251, p.1-18

2013

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The Riemann–Hilbert problem and the generalized Neumann kernel on multiply connected regions

Journal of computational and applied mathematics, 2008-04, Vol.214 (1), p.36-57

2008

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Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations

Journal of computational and applied mathematics, 2015-08, Vol.284, p.115-132, Article 115

2015

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Three-Wave Interaction Equations: Classical and Nonlocal

SIAM journal on mathematical analysis, 2023-08, Vol.55 (4), p.4089-4139

2023

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Generalized Riemann Problems in Computational Fluid Dynamics

1, 2003

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On the application of GMRES to oscillatory singular integral equations

BIT Numerical Mathematics, 2015-06, Vol.55 (2), p.591-620

Trogdon, Thomas

2015

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Computation of equilibrium measures

Journal of approximation theory, 2011-09, Vol.163 (9), p.1185-1207

Olver, Sheehan

2011

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Factorization in a torus and Riemann–Hilbert problems

Journal of mathematical analysis and applications, 2012-02, Vol.386 (1), p.343-363

2012

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On the deformed Pearcey determinant

Advances in mathematics (New York. 1965), 2022-05, Vol.400, p.108291, Article 108291

2022

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Integrable nonlocal derivative nonlinear Schrödinger equations

Generating new gravitational solutions by matrix multiplication

The two-periodic Aztec diamond and matrix valued orthogonal polynomials

A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation

On the generating function of the Pearcey process

The hard-to-soft edge transition: Exponential moments, central limit theorems and rigidity

The Riemann–Hilbert approach to strong asymptotics for orthogonal polynomials on [−1,1]

Segal–Wilson approach to integrable systems and Riemann–Hilbert problems

Quadratic differentials and asymptotics of Laguerre polynomials with varying complex parameters

An operator van der Corput estimate arising from oscillatory Riemann–Hilbert problems

Factorization of a class of symbols with outer functions

Riemann–Hilbert approach to multi-time processes: The Airy and the Pearcey cases

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

Orthogonality of Jacobi and Laguerre polynomials for general parameters via the Hadamard finite part

Pole-free solutions of the first Painlevé hierarchy and non-generic critical behavior for the KdV equation

Cauchy biorthogonal polynomials

A Riemann–Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution

The Riemann–Hilbert problem and the generalized Neumann kernel on multiply connected regions

Multiple orthogonal polynomials on the unit circle. Normality and recurrence relations

Three-Wave Interaction Equations: Classical and Nonlocal

Generalized Riemann Problems in Computational Fluid Dynamics

On the application of GMRES to oscillatory singular integral equations

Computation of equilibrium measures

Factorization in a torus and Riemann–Hilbert problems

On the deformed Pearcey determinant

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