Seminario: “On quantitative seismology: Approximate numerical solutions of ill-posed problems”

Martedì 19 Giugno 2018, ore 11:30 - Aula 2BC30 - Michael A. Slawinski


Martedì 19 Giugno 2018 alle ore 11:30 in Aula 2BC30, Michael A. Slawinski (Memorial University, St. John's, NL - CANADA) terrà un seminario dal titolo: “On quantitative seismology: Approximate numerical solutions of ill-posed problems”.

I will discuss issues of seismology in terms of its mathematical structure and its physical interpretation. A physical interpretation of a science that relies on remote sensing must be mediated by a theory, which is expressed in terms of equations or inequalities. Except for the simplest models, the equations or inequalities of seismology are not soluble analytically. Consequently, seismology relies on approximation theory and numerical analysis. Also, seismological enquiry is based on inverse problems; hence, the issue of wellposedeness needs to be addressed. To ensure that approximate numerical solutions of ill-posed problems are logically coherent and empirically adequate, it is also necessary to invoke the foundations of physics and the rigour of mathematics.