A stochastic model for solving Smoluchovski equation with random parameters governing coagulation of particles in a turbulent flow is presented. We analyze the influence of intermittency on the growth of aerosol particles.

In this paper, we consider the problem of assigning, by state feedback, a finite spectrum to a single-input system with commensurate point delays. It is well-known that spectral controllability is a necessary condition. We show that it is also sufficient. We give a constructive procedure for the...

This article describes the computer algebra application of the normal form method for building analytic approximations for all (including complex) local families of periodic solutions in a neighborhood of the stationary point to the Henon–Heiles system. The families of solutions are...

A method to construct a memoryless feedback law for system with time-delay in states is proposed. A feedback gain is calculated with a solution of a matrix Riccati equation. It is shown that the memoryless feedback law asymptotically stabilizes the closed loop system and it is an optimal control...

We study trajectories of mechanical systems with unilateral constraints under the additional assumption that always a given number of constraints is active. A reformulation as a problem with bilateral conditions yields a drastic reduction in the number of constraints, but in general, we are...

The paper analyses the numerical performance of preconditioning with Gram matrix approximations for the solution of a convection–diffusion equation. The convection–diffusion equation is discretized on a rectangular grid by standard finite element methods with piecewise linear test and trial...

In Monte Carlo particle transport studies, one is often interested in the estimation of the average particle flux in a given volume. The average particle flux in a volume and the volume-integrated particle flux are examples for what is called cell tallies in this paper. Estimation of cell...

We consider an autonomous system of ordinary differential equations near its stationary point. By means of the formal change of coordinates, we can transform the system into its normal form. By means of the power transformation of coordinates, the normal form is reducd to a problem of less...

The block-diagonalization of a large scale system requires the resolutions of Riccati and Lyapunov equations. The first one which is a nonlinear equation, is solved iteratively. This paper deals with an adapted representation for a particular class of dynamic systems, which leads to an...

In the present work, techniques for the symbolic manipulation of general nonlinear differential algebraic equation (DAE) systems are presented, and used for model simplification purposes, to support efficient simulation of large scale continuous systems in an object-oriented modelling...