  In this paper, we report the advantages of using a stochastic algorithm in
the context of mineral exploration based on gravity measurements. This approach
has the advantage over deterministic methods in that it allows one to find the
solution of the Poisson equation in specified, isolated points without the need
of meshing the computational domain and solving the Poisson equation over the
entire domain. Moreover, the stochastic approach is embarrassingly
parallelizable and therefore suitable for an implementation on multi-core
compute clusters with or without GPUs. Benchmark tests are carried out that
show that the stochastic approach can yield accurate results for both the
gravitational potential and the gravitational acceleration and could hence
provide an alternative to existing deterministic methods used in mineral
exploration.
