  For the first time, we develop a convergent numerical method for the llinear
integral equation derived by M.M. Lavrent'ev in 1964 with the goal to solve a
coefficient inverse problem for a wave-like equation in 3D. The data are non
overdetermined. Convergence analysis is presented along with the numerical
results. An intriguing feature of the Lavrent'ev equation is that, without any
linearization, it reduces a highly nonlinear coefficient inverse problem to a
linear integral equation of the first kind. Nevertheless, numerical results for
that equation, which use the data generated for that coefficient inverse
problem, show a good reconstruction accuracy. This is similar with the
classical Gelfand-Levitan equation derived in 1951, which is valid in the 1D
case.
