Singular Riemann-Hilbert problem in complex-shaped domains

DOI10.1134/S0965542514120082zbMath1325.30036OpenAlexW1982502285MaRDI QIDQ889209

S. I. Bezrodnykh, V. I. Vlasov

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514120082

zbMATH Keywords

conformal mappingsRiemann-Hilbert problemCauchy-type integral

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Boundary value problems in the complex plane (30E25)

Related Items

Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\), Finding the coefficients in the new representation of the solution of the Riemann-Hilbert problem using the Lauricella function, Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case, The nonlinear boundary value problem for \(k\) holomorphic functions in \(\mathbb{C}^2\), Solution of a boundary value problem for a system of integro-differential equations arising in a model of plasma physics, The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications, Asymptotics of the Riemann-Hilbert problem for a magnetic reconnection model in plasma, Asymptotics of the Riemann-Hilbert problem for the Somov model of magnetic reconnection of long shock waves, On capacity computation for symmetric polygonal condensers

Uses Software

• SCPACK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Plasma astrophysics. Part II. Reconnection and flares
• An analytical-numerical method for conformal mappings of complex-shaped domains
• Conformal mapping solution of Laplace's equation on a polygon with oblique derivative boundary conditions
• Methods for numerical conformal mapping
• The vector Riemann-Hilbert boundary value problem in boundary value problems of the scattering of polarized light
• Control of cells shapes in the course of grid generation
• Weighted Hardy classes of analytic functions
• The Riemann-Hilbert problem in a complicated domain for a model of magnetic reconnection in a plasma
• On a problem of the constructive theory of harmonic mappings
• On a small perturbation in the two dimensional inverse conductivity problem
• The index of elliptic systems of singular integral operators
• An integral equation method in conformal mapping
• Generation of structured difference grids in two-dimensional nonconvex domains using mappings
• ON LIOUVILLE'S EQUATION, ACCESSORY PARAMETERS, AND THE GEOMETRY OF TEICHMÜLLER SPACE FOR RIEMANN SURFACES OF GENUS 0
• A Numerical Method for Conformal Mappings
• Numerical Computation of the Schwarz–Christoffel Transformation
• A FUNCTION THEORY METHOD IN ELLIPTIC PROBLEMS IN THE PLANE. II. THE PIECEWISE SMOOTH CASE
• Numerical Conformal Mapping
• Magnetic Reconnection
• Asymptotic behaviour of the spectra of integral convolution operators on a finite interval with homogeneous polar kernels
• Truncation error in grid generation: A case study
• Nonlinear Riemann-Hilbert problems for multiply connected domains
• Conformal mapping of rectangular heptagons
• Konstruktive Methoden der konformen Abbildung
• Abelsche Integralgleichungen und Randwertprobleme für die verallgemeinerte Tricomi‐Gleichung
• Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
• Sur la représentation conforme des domaines limites par des courbes rectifiables
• Solution of the Field Problem of the Germanium Gyrator