Error analysis of the Bergman kernel method with singular basis functions
DOI10.1007/BF03321873zbMath1267.30023arXiv1101.0551OpenAlexW2046765547MaRDI QIDQ766028
Michalis A. Lytrides, Nikos S. Stylianopoulos
Publication date: 22 March 2012
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.0551
numerical conformal mappingBergman orthogonal polynomialsBergman kernel methodsingular basis function
Approximation in the complex plane (30E10) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30) Kernel functions in one complex variable and applications (30C40)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Bergman polynomials on an archipelago: estimates, zeros and shape reconstruction
- Development of the mapping function at an analytic corner
- Zero distributions for polynomials orthogonal with weights over certain planar regions
- Asymptotics for polynomial zeros: Beware of predictions from plots
- Stability and convergence properties of Bergman kernel methods for numerical conformal mapping
- The treatment of corner and pole-type singularities in numerical conformal mapping techniques
- On a polynomial lemma of Andrievskii
- On the convergence of the Bieberbach polynomials in regions with corners
- Two numerical methods for the conformal mapping of simply-connected domains
- Polynomial approximation of conformal maps
- Zero distribution of Bergman orthogonal polynomials for certain planar domains
- \(L^2\)-approximations of power and logarithmic functions with applications to numerical conformal mapping
- Dieter Gaier's contributions to numerical conformal mapping
- The Faber operator and its boundedness
- The Bergman Kernel Method for the Numerical Conformal Mapping of Simply Connected Domains
- Konstruktive Methoden der konformen Abbildung
- Polynomials of Interpolation and Approximation to Meromorphic Functions
This page was built for publication: Error analysis of the Bergman kernel method with singular basis functions