Elaborating the expert system mentioned in the title requires the generation of expressions which describe the work of a crane (loading capacity, horizontal and vertical ranges). In this paper a non-standard use of a CAS (computer algebra system) does this task. Advantages of this approach,...

An iterative finite element algorithm is proposed for numerically solving interface problems with strongly discontinuous coefficients. This algorithm employs finite element methods and iteratively solves smaller subproblems with good accuracy, and exchanges information at the interface to...

Numerical procedures for the solution of an inverse problem of determining unknown source parameter in a parabolic equation are considered. Two different numerical procedures are studied and their comparison analysis is presented. One of these procedures obtained by introducing transformation of...

An efficient methodology of estimation of parameters in the diffusion coefficient of the stochastic differential equation (SDE) is presented in this work. The methodology is based on the concept of quadratic variation of a stochastic process and on some classical numerical tools such as spline...

In the context of non-linear dynamics, next neighbor prediction methods have been successfully applied to univariate time series. We generalize these methods, in particular, center-of-mass-prediction (COM-prediction) and local linear prediction (LL-prediction), to multivariate time series. The...

Numerical models of reactive solute transport in groundwater are often solved using an approximate two-step approach that separates the transport and reaction processes. Even though the transport and reaction steps are split, using a novel formulation it is possible to pose the reaction step in...

The solution of the inverse kinematics problem requires solving a non-linear system of equations, modulo the trigonometric identity s2+c2−1, where c=cos(θ),s=sin(θ) for a joint variable θ. A method based on the geometry of conics was presented by Smith and Lipkin [A summary of the theory...