Stability and convergence properties of Bergman kernel methods for numerical conformal mapping

DOI10.1007/BF01399687zbMath0564.30009OpenAlexW2023125503MaRDI QIDQ1058006

J. Blot

Publication date: 1986

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133092

zbMATH Keywords

Bergman kernel methods

Mathematics Subject Classification ID

Schwarz-Christoffel-type mappings (30C30)

Related Items

A 3-dimensional Bergman kernel method with applications to rectangular domains ⋮ On a polynomial lemma of Andrievskii ⋮ Dieter Gaier's contributions to numerical conformal mapping ⋮ Numerical techniques for conformal mapping onto a rectangle ⋮ On the convergence of the Bieberbach polynomials in regions with corners ⋮ Numerical conformal mapping via the Bergman kernel ⋮ Strong asymptotics for Bergman polynomials over domains with corners and applications ⋮ Asymptotics for Hessenberg matrices for the Bergman shift operator on Jordan regions ⋮ Asymptotics for polynomial zeros: Beware of predictions from plots ⋮ Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction ⋮ Local behaviour of the error in the Bergman kernel method for numerical conformal mapping ⋮ Numerical conformal mapping onto a rectangle with applications to the solution of Laplacian problems ⋮ Error analysis of the Bergman kernel method with singular basis functions ⋮ A domain integral equation for the Bergman kernel ⋮ Orthogonal Polynomials for Area-Type Measures and Image Recovery ⋮ Asymptotic behaviour of zeros of Bieberbach polynomials

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