Browsing by Subject "Bergman kernel method"
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Article
Error analysis of the Bergman kernel method with singular basis functions
(2011)Let G be a bounded Jordan domain in the complex plane with a piecewise analytic boundary. We present theoretical estimates and numerical evidence for certain phenomena, regarding the application of the Bergman kernel method ...
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Article
Local behaviour of the error in the Bergman kernel method for numerical conformal mapping
(1993)Let Ω be a simply-connected domain in the complex plane, let ζ ε{lunate} Ω and let K(z, ζ) denote the Bergman kernel function of Ω with respect to ζ. Also, let Kn(z, ζ) denote the nth-degree polynomial approximation to ...