ИСТИНА

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