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Numerical conformal mapping onto the entire complex plane bounded with finite straight slit and logarithmic spiral slits

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Abstract

This paper presents a fast boundary integral equation method with for computing conformal mappings of multiply connected regions. We consider the canonical region consists of the entire complex plane bounded by a finite straight slit on the line Im ? = 0 and finite logarithmic spiral slits. Some numerical examples are given to show the effectiveness of the proposed method.

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Boundary integral equations, Computation theory, Geometry, Numerical methods, Boundary integral equation method, Complex planes, Logarithmic spiral, Multiply connected regions, Numerical conformal mapping, Conformal mapping

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