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A Monte Carlo method used for the estimation of convergent von Neumann series solutions of a Fredholm equation of second kind is considered. The sumz   (  d  )    ⁢   (  x  ){z^{(d)}(x)}    of  d  initial terms of the von Neumann series estimating the solutionz  ⁢   (  x  ){z(x)}    of the equation is represented as a  d -dimensional integral over the unit cubeH  d{H_{d}}   .

Quasi-Monte Carlo method for solving Fredholm equations