  By our definition, "restricted Dirichlet-to-Neumann map" (DN) means that the
Dirichlet and Neumann boundary data for a Coefficient Inverse Problem (CIP) are
generated by a point source running along an interval of a straight line. On
the other hand, the conventional DN data can be generated, at least sometimes,
by a point source running along a hypersurface. CIPs with the restricted DN
data are non-overdetermined in the $n-$D case with $n \geq 2$. We develop, in a
unified way, a general and a radically new numerical concept for CIPs with
restricted DN data for a broad class of PDEs of the second order, such as, e.g.
elliptic, parabolic and hyperbolic ones. Namely, using Carleman Weight
Functions, we construct globally convergent numerical methods. H\"{o}lder
stability and uniqueness are also proved. The price we pay for these features
is a well acceptable one in the Numerical Analysis: we truncate a certain
Fourier-like series with respect to some functions depending only on the
position of that point source. At least three applications are: imaging of land
mines, crosswell imaging and electrical impedance tomography.
