Real-time simulation allows rapid deployment and thorough testing of prototyped hardware in the automotive and aerospace industries. However, the simulation of power electronic circuits (PECs) in the context of PC-based simulations is challenging for several reasons, and imposes a limit in the...

The correct computation of orbits of discrete dynamical systems on the interval is considered. Therefore, an arbitrary-precision floating-point approach based on automatic error analysis is chosen and a general algorithm is presented. The correctness of the algorithm is shown and the...

This paper provides a framework that highlights the features of computer models that make them especially vulnerable to floating-point errors, and suggests ways in which the impact of such errors can be mitigated. We focus on small floating-point errors because these are most likely to occur,...

Economic modelers or econometricians know that they have to control the accuracy of the computations, to get their results safe. Unfortunately, even if a few softwares allow to control it (especially in using an interval arithmetic), most of them are presented like black boxes, from an...