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Numerical solution of the Cauchy problem for the stationary Schrödinger equation in a bounded two-dimensional domain is discussed. The solution algorithm is based on the properties of Faddeev's Green function. Numerical examples with computer simulated data are presented, including an application to the inverse potential problem of electrocardiography.doi:10.1137/s0036139903424916 fatcat:qpxaxvxonnftni7o5t3shxs37i