Integralgleichungen erster Art und konforme Abbildung

DOI10.1007/BF01164277zbMath0304.30006MaRDI QIDQ1216695

Dieter Gaier

Publication date: 1976

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172326

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal mappings of special domains (30C20) Fredholm integral equations (45B05) Schwarz-Christoffel-type mappings (30C30)

Related Items (22)

Dieter Gaier's contributions to numerical conformal mapping ⋮ Analytical and numerical investigation of the Fredholm integral equation for the heat radiation problem ⋮ A charge simulation method for the numerical conformal mapping of interior, exterior and doubly-connected domains ⋮ Bidirectional numerical conformal mapping based on the dipole simulation method ⋮ Adaptive coupling of boundary elements and finite elements ⋮ Optimal order collocation for the mixed boundary value problem on polygons ⋮ Boundary element method for membrane and torsion crack problems ⋮ On the asymptotic convergence of a collocation method for some boundary integral equations of the first kind ⋮ Some applications of a galerkin‐collocation method for boundary integral equations of the first kind ⋮ Integral representation of velocity in a flow with separation simulated by a vortex sheet ⋮ A fully-discrete trigonometric collocation method ⋮ Numerical conformal mapping via Chebyshev weighted solutions of Symm's integral equation ⋮ An augmented Galerkin procedure for the boundary integral method applied to mixed boundary value problems ⋮ On the integral equation method for the plane mixed boundary value problem of the Laplacian ⋮ An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems ⋮ Quasiinterpolant splines on the unit circle. On linear widths of Sobolev classes and chains of extremal subspaces ⋮ Jacobi polynomial solutions of first kind integral equations for numerical conformal mapping ⋮ A Fredholm integral equation of the second kind for conformal mapping ⋮ The treatment of corner and pole-type singularities in numerical conformal mapping techniques ⋮ A reparameterisation method to determine conformal maps ⋮ A fast method for solving certain integral equations of the first kind with application to conformal mapping ⋮ On the Neumann-Poincaré operator

Cites Work

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• Über das Randverhalten der Ableitung der Abbildungsfunktion bei konformer Abbildung
• On conformal mapping of certain classes of Jordan domains
• An integral equation method in conformal mapping
• Numerical mapping of exterior domains
• Conformal mapping of doubly-connected domains
• Ermittlung des konformen Moduls von Vierecken mit Differenzenmethoden. (Determination of the conformal module of quadrangles with differnece methods)
• Absolute regularity for convergent integrals
• Differenzierbarkeit von verallgemeinerten Potentialen
• A Characterization of Circles and Other Closed Curves
• Konstruktive Methoden der konformen Abbildung
• An Improved Method for Numerical Conformal Mapping
• The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation

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