On Numerical Algorithms for the Solution of a Beltrami Equation

DOI10.1137/050640710zbMath1176.65167arXivmath/0510516OpenAlexW1997205842MaRDI QIDQ3642879

Dmitry Khmelev, Denis G. Gaidashev

Publication date: 6 November 2009

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510516

zbMATH Keywords

Hilbert transformCauchy transformBeltrami equationquasi-conformal mapmeasurable Riemann mapping

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Integral transforms of special functions (44A20) Integral operators (45P05) Complexity and performance of numerical algorithms (65Y20)

Related Items (6)

Numerical solution of the Beltrami equation via a purely linear system ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Computing Teichmüller maps between polygons ⋮ A direct reconstruction algorithm for the anisotropic inverse conductivity problem based on Calderón’s method in the plane ⋮ Complex geometrical optics solutions for anisotropic equations and applications ⋮ Convergence of a numerical solver for an \(\mathbb R\)-linear Beltrami equation

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