The Accuracy of Numerical Conformal Mapping Methods: A Survey of Examples and Results
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Publication:4305434
DOI10.1137/0731043zbMath0808.30006OpenAlexW2082949827MaRDI QIDQ4305434
Publication date: 5 March 1995
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1fb767bbc129119546f62bdd79e337764b7d97ab
General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Schwarz-Christoffel-type mappings (30C30)
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Numerical conformal mapping methods based on Faber series ⋮ Conformal mapping of an \(L\)-shaped domain in analytical form ⋮ The approximate conformal mapping onto simply and doubly connected domains ⋮ Fundamentals of computational conformal geometry ⋮ Numerical computing of preimage domains for bounded multiply connected slit domains ⋮ Representation of conformal maps by rational functions ⋮ A simplified Fornberg-like method for the conformal mapping of multiply connected regions-comparisons and crowding ⋮ Numerical conformal mapping based on the generalised conjugation operator ⋮ Analytical solutions for an escape problem in a disc with an arbitrary distribution of exit holes along its boundary ⋮ A comparison of some numerical conformal mapping methods for simply and multiply connected domains ⋮ Numerical studies of the Steklov eigenvalue problem via conformal mappings ⋮ Orthonormal expansions of invariant densities for expanding maps ⋮ Approximate conformal mappings and elasticity theory ⋮ Conformal mapping in linear time ⋮ The approximate conformal mapping onto multiply connected domains ⋮ A Formberg-like conformal mapping method for slender regions ⋮ Extremal distance, harmonic measure and numerical conformal mapping ⋮ Construction of complex potentials for multiply connected domain ⋮ Numerical computation of surface conformal mappings
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