Abstract
Large ozone concentrations have harmful effects on forests and crops when these exceed some critical levels. It is believed that the damages in USA due to high ozone concentrations exceed several billions dollars. Therefore it is worthwhile to investigate different actions that could be applied in the attempts to reduce the harmful effects. One needs reliable mathematical models in such studies. Reliable models are normally very big and it is difficult to treat them numerically, because they lead, after some kind of discretization and after the implementation of some appropriate splitting procedure, to several very huge systems of ordinary differential equations (up to order of 106). Moreover, these systems have to be treated numerically during many time-steps (typically several thousand time-steps per run are necessary). The use of modern parallel and/or vector machines is an important condition in the efforts to handle successfully big air pollution models. If the numerical algorithms are both sufficiently fast and sufficiently accurate, then different simulations can be carried out.
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Brandt, J., Christensen, J., Dimov, I., Georgiev, K., Uria, I., Zlatev, Z. (1997). Treatment of large air pollution models. In: Vulkov, L., Waśniewski, J., Yalamov, P. (eds) Numerical Analysis and Its Applications. WNAA 1996. Lecture Notes in Computer Science, vol 1196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62598-4_80
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DOI: https://doi.org/10.1007/3-540-62598-4_80
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