|This paper presents the investigations in the electric performance of di¬erential signalling transmission lines used for high speed integrated circuits (IC’s) and boards by using the parallelized ­ nite-di¬erence time-domain (FDTD) method. The FDTD method is ­ rstly parallelized with single-program multipledata (SPMD) architecture using the MPI protocol and experimentally validated. The key el...

In this work we consider the problem of control of mechanical systems subject to unilateral constraints. Impulsive forces arise whenever the constraints become active and these forces give rise to nonsmooth dynamics. The dynamics of the system is de ned by a set of di erential equations with discontinuous righthand side using Hamilton's equations of motion. A nonlinear transformation is applied...

Applying 3D di erential operators to extract point landmarks from medical images generally su ers from false detections. A considerable number of these false detections is caused by neighboring structures that are included in the region-of-interest (ROI) speci ed by the observer. The main contributions of this paper are two di erent approaches to reducing false detections resulting from neighbo...

A system of a parabolic partial di erential equation coupled with ordinary di erential inclusions that arises from a closed-loop control problem for a thermodynamic process governed by the Allen-Cahn di usion reaction model is studied. A feedback law for the closed-loop control is proposed and implemented in the case of a nite number of control devices located inside the process domain basing o...

Stochastic di erential games are considered in a non-Markovian setting. Typically, in stochastic di erential games the modulating process of the di usion equation describing the state ow is taken to be Markovian. Then Nash equilibria or other types of solution such as Pareto equilibria are constructed using Hamilton-Jacobi-Bellman (HJB) equations. But in a non-Markovian setting the HJB method i...

We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population of discrete individuals characterized by one or several adaptive traits. The population is modelled as a stochastic point process whose generator captures t...

For Ω ⊂ RN open (and possibly unbounded), we consider integral functionals of the form F (u) := ∫ Ω f(x, u) dx, de ned on the subspace of Lp consisting of those vector elds u which satisfy Au = 0 on Ω in the sense of distributions. Here, A may be any linear di erential operator of rst order with constant coe cients satisfying Murat's condition of constant rank. The main results provide sharp co...

Quantitative analysis of dynamical processes requires a precise estimation of the optical ow eld from image sequences. Most articles evaluating the performance of optical ow techniques focus on the initial formulation of the minimization problem to solve the ill posed brightness change constraint equation. Performance di erences are attributed to slight di erences in the formulation of the mini...

A hyperbolic Stefan problem based on the linearized Gurtin{Pipkin heat conduction law is considered. Temperature and free boundary are controlled by a thermostat acting on the boundary. This feedback control is based on temperature measurements performed by real thermal sensors located into the domain containing the two{phase system and/or at its boundary. Three di erent types of thermostats ar...

Based on a particular node ordering and corresponding block decomposition of the matrix we analyse an e cient, algebraic multilevel preconditioner for the iterative solution of nite element discretizations of elliptic boundary value problems. Thereby an analysis of a new version of block-factorization preconditioning methods is presented. The approximate factorization requires an approximation ...