Data approximation: mathematical modelling and numerical simulations

This book is devoted to the modelling of data approximation and some of its numerical simulations and applications to different fields. The modelling is presented, along with theoretical results (existence and uniqueness, convergence), discretization (using the finite element method) and many applications like surface approximation from rapidly data, from surface patches, from bathymetric data and so on. This book is meant to master's students and to researchers in mathematics, geophysicians, geologists, oceanographs involved in data approximation.