Field Of Mathematical Modeling Research Articles

Mathematical Modelling

The field of mathematical modelling is long established in archaeology, and since the 1970s has been frequently associated with computing through the development of increasingly complex methodologies ranging from large-scale simulations to Bayesian statistics. This article looks at the background and use of these models, and asks why there has been an apparent downturn in their use. A distrinction between 'tactical' and 'strategic' models is drawn, and number of areas of future development identified. Keywords: models; mathematics; simulation; deterministic, stochastic and Bayesian models This article will particularly interest: * students with data-based projects * archaeologists planning or undertaking programmes of data analysis * anyone interested in the development of archaeology as a discipline Key points: * explains the nature and role of mathematical models in archaeology * gives examples of how mathematical models can aid thinking about archaeological problems, and demonstrates some potential benefits * gives guidance for the formal use of mathematical models in archaeology * presents an historical account of the use of mathematical models in archaeology.

Mathematical modeling of hydrogen-assisted fracture in metals

We present the analysis and synthesis of our results in the field of mathematical modeling of the kinetics of hydrogen accumulation in metals and their failure under the action of forces and temperature factors. We study the processes of hydrogenation of metals from the gaseous phase and electrolytes, crack propagation under long-term static and cyclic loads, and formation of molecular hydrogen at the sites of its overequilibrium concentrations in metals.

A Methodology for Quantitative and Qualitative Modelling of Production and Energy Complexes

The present methodology was developed in the frame of Joint Finnish - Bulgarian project in the field of mathematical modelling, quantitative and qualitative simulation, optimal control and coordination of production and energy complexes in the pulp and paper, chemical and other process industries. Supported by Technology Development Center (TEKES) with Ministry of Trade and Industry of Finland it is based on the experience, proved by application of several computer, digital automation and software technologies, tested in industrial enviroment. In addition to conventional quantitative solutions and computer programms, such features of intelligent production and energy management as accumulation, presentation and utilization of temporal knowledge and industrial expertise through qualitative approach are also discussed.