Аннотация:The paper considers algorithms for solving linear inverse gravimetry problemswithin the framework of the theory of discrete potential in a local version. The main attention ispaid to the methods of finding a discrete analogue of the fundamental solution of the Laplaceequation in Cartesian coordinates in three-dimensional space. Using the matrix run method, the gridanalogue of the fundamental solution of the Laplace equation is restored in the nodes of a regularthree-dimensional network, and then a system of linear algebraic equations is solved to find thedistribution of gravitational masses in the nodes of the same network according to the values of thegrid gravitational potential known on some subset.