Academic and applied researchers in economics have, in the last 10 years, become increasingly interested in the topic of chaotic dynamics. In this paper we undertake non-linear dynamical analysis of one representative time series taken from financial markets, namely the Standard and Poor's (S&P)...

We discuss a technique for solving elastoplastic problems with hardening. The one time-step elastoplastic problem can be formulated as a convex minimization problem with a continuous but non-smooth objective. We actually show that its objective structure satisfies conditions of the...

We here propose a numerical procedure for the reconstruction of a cavity shape in a bounded domain from ultrasounds boundary measurements. The ill posed nonlinear equation for the operator mapping the boundary of the cavity onto the trace of the solution in the external surface is solved by a...