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The Riemann-Hilbert problem and the generalized Neumann kernel
Published 2005“…This paper presents two new Fredholm integral equations associated to the interior and the exterior Riemann-Hilbert problems in simply connected regions with smooth boundaries. …”
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Numerical solution of Riemann-Hilbert problems: Painleve II
Published 2009“…We describe a new spectral method for solving matrix-valued Riemann-Hilbert problems numerically. We demonstrate the effectiveness of this approach by computing solutions to the homogeneous Painleve II equation. …”
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A general framework for solving Riemann-Hilbert problems numerically
Published 2010“…A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem. …”
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Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Published 2021-12-01“…The associated spectral problems are used to formulate a kind of Riemann–Hilbert problems and thus inverse scattering transforms. …”
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Riemann-Hilbert problem for the Moisil-Teodorescu system in multiple connected domains
Published 2016-12-01“…Also we give applications of this representation to Riemann-Hilbert problem.…”
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An integral equation related to the exterior riemann-hilbert problem on region with corners
Published 2008“…Nasser in 2005 gives the first full method for solving the Riemann-Hilbert problem (briefly the RH problem) for smooth arbitrary simply connected region for general indices via boundary integral equation. …”
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Riemann–Hilbert Problems, Polynomial Lax Pairs, Integrable Equations and Their Soliton Solutions
Published 2023-10-01Subjects: “…Riemann–Hilbert problems…”
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A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators
Published 2013-09-01Subjects: “…riemann-hilbert problems…”
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Solving exterior Riemann-Hilbert problem on region with corners via boundary integral equation /
Published 2011Subjects: “…Riemann-Hilbert problems…”
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Riemann–Hilbert Problem for the Matrix Laguerre Biorthogonal Polynomials: The Matrix Discrete Painlevé IV
Published 2022-04-01Subjects: “…Riemann–Hilbert problems…”
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Riemann–Hilbert problems with shift on the Lyapunov curve for null-solutions of iterated Beltrami equations
Published 2019-05-01Subjects: “…Riemann–Hilbert problem…”
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Numerical solution of the interior Riemann - Hilbert problem on region with corners via boundary integral equation /
Published 2007Subjects: “…Riemann-Hilbert problems…”
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The solvability of a kind of generalized Riemann–Hilbert problems on function spaces H ∗ $H_{\ast }$
Published 2020-10-01Subjects: “…Riemann–Hilbert problems…”
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N-Soliton Solutions for the NLS-Like Equation and Perturbation Theory Based on the Riemann–Hilbert Problem
Published 2019-06-01Subjects: Get full text
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The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation
Published 2017-01-01Subjects: Get full text
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Solving exterior Riemann-Hilbert problem on region with corners via boundary integral equation [electronic resource] /
Published 2011Subjects: “…Riemann-Hilbert problems…”
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$L_{p;r} $ spaces: Cauchy Singular Integral, Hardy Classes and Riemann-Hilbert Problem in this Framework
Published 2019-10-01Subjects: Get full text
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