On the Uniqueness of Determining the Mesh Fundamental Solution of Laplace's Equation in the Theory of Discrete Potential.

The paper examines the problem of unique determination of the fundamental solution of a mesh analogue of Laplace's equation within the theory of discrete gravitational potential. The mesh fundamental solution of the finite-difference analogue of Laplace's equation plays a key role in reconstructing a continuously distributed source of gravitational or magnetic field from heterogeneous and different-precision data obtained at points of a certain mesh set. [ABSTRACT FROM AUTHOR]