Resumen de A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation

Deyue Zhang, Fuming Ma, Enxi Zheng

• This paper is concerned with the Cauchy problem connected with the Helmholtz equation.

  On the basis of the denseness of Herglotz wavefunctions, we propose a numerical method for obtaining an approximate solution to the problem. We analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.