On the Problem of Improving the Accuracy of Computational Schemes in Analytical Continuation of Gravitational Field

The article discusses the variants of constructing the computational schemes of the difference grid method in solving the problem of analytical continuation of the gravitational field observed on the Earth's surface into the lower half-space. The error of replacing the continuous Laplace equation by a difference equation is estimated. The results of computational experiments of analytical continuation of given field values at different grid sizes are presented.