An algorithm has been developed and programmed which fits a minimum number of basic patterns, morphs, to a sequence of data points. The dependent variable is given as a scalar value; the independent variable is ‘time-like’ and can represent continuous or discrete time or an event counter. The...

The purpose of this paper is to provide an overview of the works dealing with the application and utilization of Walsh function series and transforms to a variety of systems and control applications. The works reviewed are classified in the following groups: 1. Walsh signal definition and...

A general class of approximate models for the transport equation is derived by the Weighted Residual Method using polynomial trial and test spaces. For two, particularly relevant, of such models a closed form of the approximate solution is given in the Laplace-transform domain. A strict...

In this paper, it is proposed that Haar functions should be used for solving ordinary differential equations of a time variable in facility. This is because integrated forms of Haar functions of any degree can be illustrated by linear- and linear segment-functions like as triangles. Fortunately,...

Using a physical model to represent the response of a MOS transistor, observations of the output voltage of a two-transitor inverter circuit are generated. The simulated observations are used to assemble a data base from which a statistical model for the inverter is constructed. This statistical...

Some new scheme of research process by simulation is proposed. These scheme is based on the using of mathematical description of complex systems and corresponding analytical results. The proposed scheme gives the possibility to make structural transformations of the simulation algorithm and...

In this paper the construction of a stationary second order scheme of de Phillis' type, with optimal convergence rates, for the solution of a linear system is presented. Numerical tests have shown that the new scheme compares favorably with the very fast nonstationary second order one proposed...

A two-dimensional model is described of fluidized-bed chemical reactors which involve the flow of gas and solid mixtures undergoing chemical reactions. The model can be used for optimization, effective design, scale-up, and hazard analysis of these reactors. Results are presented from a...

In this paper the application of the Analytic Hierarchy Process in Energy policy planning is introduced. The application of the process to energy policy formulation is explained in greater detail. A desired scenario for the United States' energy future is defined, desired strategies for the...

A measure of the stability properties of numerical integration methods for ordinary differential equations is provided by their stability region, which is that region in the complex (Δtλ) plane for which a given method is stable when applied to the differential equation dydt=λy with a...