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We investigate the use of conformal maps for the acceleration of convergenceof the trapezoidal rule and Sinc numerical methods. The conformal map is apolynomial adjustment to the $\sinh$ map, and allows the treatment of a finitenumber of singularities in the complex plane. In the case where locations areunknown, the so-called Sinc-Pad\'e approximants are used to provide approximateresults. This adaptive method is shown to have almost the same convergenceproperties. We use the conformal maps to generate high accuracy solutions toseveral challenging integrals, nonlinear waves, and multidimensional integrals.

On the use of conformal maps for the acceleration of convergence of the trapezoidal rule and Sinc numerical methods