  A new alternate method for evaluating linear response theory is formally
developed, and results are presented. This method involves the time-evolution
of the system using TDHF and is constructed directly on top of a static
Hartree-Fock calculation. By Fourier transforming the time-dependent result the
response function and the total probability amplitude are extracted. This
method allows for a coherent description of static properties of nuclei, such
as binding energies and deformations, while also providing a method for
calculating collective modes and reaction rates. A full 3-D Cartesian
Basis-Spline collocation representation is used with several Skyrme
interactions. Sample results are presented for the giant multipole resonances
of 16O, 40Ca, and 32S and compared to other calculations.
