Data Driven Numerical Modelling in Geodynamics: Methods and Applications
In this chapter, we introduce direct and inverse problems as well as welland ill posed problems, which are characterised by the existence, uniqueness, and stability of the problem solution. We present some examples of unstable problems and discuss the basic elements in forward and backward numerical modelling and the errors associated with the modelling. Finally we briefly review the methods for data assimilation used in geodynamic modelling.