The ensemble Monte Carlo algorithm (EMC) is the most frequently used tool for simulation of the transient transport in semiconductors and structures. The common definition of the algorithm is of a procedure based on imitation of the real transport phenomena. Often EMC is accepted as a simulated...

We combine a high-order compact finite difference approximation and collocation techniques to numerically solve the two-dimensional heat equation. The resulting method is implicit and can be parallelized with a strategy that allows parallelization across both time and space. We compare the...

We address in this paper the efficient estimation of sensitivity coefficients by Monte Carlo simulations. In the context of geological performance for the risk assessment of radioactive waste repositories, a recent non-analog Monte Carlo simulation [1] based on an integral equation for the...

A high-order finite element method, total variational diminishing (TVD) Runge–Kutta discontinuous Galerkin method is investigated to solve free-surface problems in hydraulic dynamics. Some cases of circular dam and rapidly varying two-dimensional flows are presented to show the efficiency and...

This work focuses on the temperature control of a semi-batch chemical reactor used for flue chemicals production. Such reactor is equipped with a heating/cooling system composed of different thermal fluids. In order to ensure the tracking performance of the desired temperature profile, an...

This paper explores the economic performance of the parallel path R&D approach to product innovation in the absence of patent protection. This is done within the context of a formal model in which competitive innovation is characterized as a dynamic game. The dynamic programming approach used by...

A fundamental variance reduction technique for Monte Carlo integration in the framework of integro-approximation problems is presented. Using the method of dependent tests a successive hierarchical function approximation algorithm is developed, which captures discontinuities and exploits...

A software tool using standard and special interval arithmetic operations together with an idea which is developed in the discrete stochastic arithmetic (DSA) approach for round-off error evaluation is proposed in this paper for a statistical computation of functional ranges. The CESTAC method...

Nonlinear diffusion processes can give rise to shock wave type solutions. These solutions are usually derived from the application of similarity methods since general solutions to the relevant partial differential equations are not known. We consider the Boltzmann problem and construct an exact...

We introduce a qualitative similarity analysis, which yields relations between the geometry and kinematics of traveling localized solutions, associated to certain non-linear equations. This method predicts the existence of solitons, compactons, dublets, triplets, as well as other non-linear...