Research in mathematical and computational geophysics is primarily focused on development of new data analysis techniques and their application across the Earth Sciences. For example the ability to extract reliable information on Earth structure from seismic data, e.g. travel times or digital waveforms, or other classes of data, depends on methods of inverse theory.
Fully non-linear (stochastic) inversion methods can provide valuable insight into the character of the solution. This work has application across the Earth Sciences and particularly in the area of seismic imaging of the Earth interior.