Abstract
We are concerned here with the numerical conformal mapping of bounded simply connected Jordan domains onto the unit disk by the charge simulation method, where a pair of conjugate harmonic functions are approximated by a linear combination of complex logarithmic potentials. We propose a new scheme which employs Murota's invariant scheme. With an according modification, the new scheme becomes invariant with respect to affine transformations and a similarity to Symm's integral equation method will be clarified.
