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An iterative numerical method to compute the conformal mapping in the contextof propagating water waves over uneven topographies is investigated. The mapflattens the fluid domain onto a canonical strip in which computations areperformed. The accuracy of the method is tested by using the MATLABSchwarz-Christoffel toolbox mapping as a benchmark. Besides, we give anumerical alternative to compute the inverse of the conformal map.

An iterative method to compute conformal mappings and their inverses in the context of water waves over topographies