Using the formalism of random trees, we construct a process solution of the spacehomogeneous Boltzmann equation. We deduce a simulation method having relationships with both the Nanbu's method and with Bird's method. The efficiency is clear for the Kac's caricature and some scalar Boltzmann...

Mechatronic systems consist of components from different technical disciplines. They require an integrated design of all components. This leads to systems of high complexity, with the mechanical and informational components at the centre. The modelling systematics presented here allows an easy...

Stability of the static var compensators on the future series-compensated Hydro-Québec network has been studied by means of frequency domain and time domain techniques. Interaction between shunt and series compensation produce poorly damped subsynchronous transient voltages. Simulator and EMTP...

We consider numerical stability and convergence of weak schemes solving stochastic differential equations. A relatively strong notion of stability for a special type of test equations is proposed. These are stochastic differential equations with multiplicative noise. For explicit and implicit...