  A version of the convexification numerical method for a Coefficient Inverse
Problem for a 1D hyperbolic PDE is presented. The data for this problem are
generated by a single measurement event. This method converges globally. The
most important element of the construction is the presence of the Carleman
Weight Function in a weighted Tikhonov-like functional. This functional is
strictly convex on a certain bounded set in a Hilbert space, and the diameter
of this set is an arbitrary positive number. The global convergence of the
gradient projection method is established. Computational results demonstrate a
good performance of the numerical method for noisy data.
