Results 41 to 50 of about 32,369 (161)
Numerical solution of Riemann-Hilbert problems: Painleve II [PDF]
, 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.
Olver, Sheehan
core
Riemann-Hilbert problems with constraints
Proceedings of the American Mathematical Society, 2019 This paper is devoted to Riemann-Hilbert problems with constraints. We obtain results characterizing the existence of solutions as well as the dimension of the solution space in terms of certain indices. As an application, we show how such results may be used to construct analytic discs attached to singular manifolds.
Bertrand, Florian, Della Sala, Giuseppe
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The Solvability and Explicit Solutions of Singular Integral–Differential Equations with Reflection
Abstract and Applied AnalysisThis article deals with a classes of singular integral–differential equations with convolution kernel and reflection. By means of the theory of boundary value problems of analytic functions and the theory of Fourier analysis, such equations can be ...
A. S. Nagdy +2 more
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Mathematika, Volume 72, Issue 2, April 2026.Abstract We establish the connection between the Steinitz problem for ordering vector families in arbitrary norms and its variant for not necessarily zero‐sum families consisting of “nearly unit” vectors.
Gergely Ambrus, Rainie Heck
wiley +1 more source
Numerical solution of scattering problems using a Riemann--Hilbert formulation [PDF]
, 2019 A fast and accurate numerical method for the solution of scalar and matrix Wiener--Hopf problems is presented. The Wiener--Hopf problems are formulated as Riemann--Hilbert problems on the real line, and a numerical approach developed for these problems ...
Luca, Elena, Smith, Stefan G. Llewellyn
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Universality for eigenvalue correlations at the origin of the spectrum
, 2003 We establish universality of local eigenvalue correlations in unitary random matrix ensembles (1/Z_n) |\det M|^{2\alpha} e^{-n\tr V(M)} dM near the origin of the spectrum.
Kuijlaars, A. B. J., Vanlessen, M.
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Global Geometric Aspects of Riemann–Hilbert Problems [PDF]
gmj, 2001 Abstract We discuss some global properties of an abstract geometric model for Riemann–Hilbert problems introduced by the first author. In particular, we compute the homotopy groups of elliptic Riemann–Hilbert problems and describe some connections with the theory of Fredholm structures which enable one to introduce more subtle ...
Bojarski, B., Khimshiashvili, G.
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The elliptic sinh-Gordon equation in a semi-strip
Advances in Nonlinear Analysis, 2017 We study the elliptic sinh-Gordon equation posed in a semi-strip by applying the so-called Fokas method, a generalization of the inverse scattering transform for boundary value problems.
Hwang Guenbo
doaj +1 more source
A Re‐Examination of Foundational Elements of Cosmology
Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
A Riemann–Hilbert problem for biorthogonal polynomials
Journal of Computational and Applied Mathematics, 2005 We characterize the biorthogonal polynomials that appear in the theory of coupled random matrices via a Riemann-Hilbert problem. Our Riemann-Hilbert problem is different from the ones that were proposed recently by Ercolani and McLaughlin, Kapaev, and Bertola et al. We believe that our formulation may be tractable to asymptotic analysis.
Kuijlaars, A.B.J., McLaughlin, K.T.-R.
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