We present a method for computer simulation of diffusion. The method uses quasi-random walk of particles. We consider a pure initial value problem for a simple diffusion equation in s space dimensions. We introduce s spatial steps Δxi. A semi-discrete approximation to the equation is obtained...

The paper deals with the modelling and simulation aspects of the main components of a solar hot water system. Mathematical model was developed to describe the thermal behaviour and energy balance of different solar collectors and hot water storage tanks. Block-oriented simulation technique was...

In this paper, it is shown that if we consider an upper triangular form T(RM) of RM using only row operations, then the differential resultants with respect to a permutation σ can be defined as divisors of the entries of T(RM) in the last column and in the rows with only a nonzero entry....

To deal with the complexity of the implementation of control systems for flexible manufacturing systems, formal methods of design are needed. In this work the modeling and validation tool selected is high level Petri nets. Based on this approach we have studied the problems that a distributed...

In this paper we consider an algorithmic technique more general than that proposed by Zharkov and Blinkov for the involutive analysis of polynomial ideals. It is based on a new concept of involutive monomial division which is defined for a monomial set. Such a division provides for each monomial...

In this work an iterative Monte Carlo algorithm for solving elliptic boundary value problems is studied. The algorithm uses the local integral presentation by Green's function. The integral transformation kernel is obtained applying the adjoint operator on Levy's function. Such a kernel can be...

The paper starts with the discussion of the present way of teaching computer simulation and contrasts it with teaching the same subject with the help of multimedia instruments. The practical implementations of the main principles are demonstrated with the help of multimedia teaching materials,...

Analytical theories for the artificial satellite motion involve operations with the so called Poisson series. Even if only a second order theory is required, the amount of terms involved is so huge, that it is almost an impossible task to carry out by hand the theory. Thus, algebraic...

If A is a Hamiltonian matrix and P a symplectic matrix, the product P−1AP is a Hamiltonian matrix. In this paper, we consider the case where the matrix A has a pair of imaginary eigenvalues and develop an algorithm which finds a matrix P such that the matrix P−1AP has a particularly simple...

In this paper we study a family of finite difference schemes in two dimensions to model the single phase flow of oil through heterogeneous porous media. That family depends on one parameter θ, 0 ≤ θ ≤ 1. Using a suitable order of equations and unknowns, a linear system of equations, with a...