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Alternative approaches for groundwater pollution
No full textAbstract: This paper deals with the analysis of different realizations regarding groundwater pollution.
The groundwater behaviour can be implemented using a mixture of diffusion and convection equations.
The analysis of the convection diffusion equation is also interesting for other research areas, for example
biology, chemistry and the stock market. The first part will deal with the derivation of the regarded
equation. Then there are different types of approaches which will be used to analyse the behaviour of
this equation. On the one hand there are analytical and numerical methods to solve or approximate this
partial differential equations. On the other hand a more stochastic approach will be introduced
Methods for Cellular Automata and Evolution Systems in Modelling and Simulation
No full textCellular automata ar in many occasions preceivied and treated as natural systems consisting of a grid of cells with locally characterised dynamic behaviour. A partially differenct preception regards cellular automata as a method for modelling and simulation. Of course in both cases the basic ideas and the structure are mostly identical. In the latter case the conception of cellular automata is however used to depict a natural system as an abstract conceptual model and to describe the simplified system in a mathematical fashion. Also the term cellular automaton itself is controversial in this case.
A more abstract approach to cellular automata can be formalised in a functional analytic way as (locally characterised)evolution systems with parabolic partial differential equations or abstract evolution equations (Goldstein (1985) Engel und Nagel (2000)
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