Abstract
Large-scale air pollution models can successfully be used in different environmental studies. These models are described mathematically by systems of partial differential equations. Splitting procedures followed by discretization of the spatial derivatives lead to several large systems of ordinary differential equations of order up to 80 millions. These systems have to be handled numerically at up to 250 000 time-steps. Furthermore, many scenarios are often to be run in order to study the dependence of the model results on the variation of some key parameters (as, for example, the emissions). Such huge computational tasks can successfully be treated only if (i) fast and sufficiently
accurate numerical methods are used and (ii) the models can efficiently be run on parallel computers. Efficient Monte Carlo methods for some subproblems will be presented and applications of the model in the solution of some environmental tasks will also be made.
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References
Alexandrov, V.N.: Efficient parallel Monte Carlo Methods for Matrix Computation. Mathematics and computers in Simulation, vol. 47, pp. 113–122. Elsevier, Netherlands (1998)
Dimov, I., Alexandrov, V.N., Karaivanova, A.: Resolvent Monte Carlo Methods for Linear Algebra Problems. Mathematics and Computers in Simulation 155, 25–36 (2001)
Gropp, W., Lusk, E., Skjellum, A.: Using MPI: Portable programming with the message passing interface. MIT Press, Cambridge (1994)
Gery, M.W., Whitten, G.Z., Killus, J.P., Dodge, M.C.: A photochemical kinetics mechanism for urban and regional computer modeling. Journal of Geophysical Research 94, 12925–12956 (1989)
WEB-site of the Danish Centre for Scientific Computing at the Technical University of Denmark, Sun High Performance Computing Systems (2002), http://www.hpc.dtu.dk
Zlatev, Z.: Computer treatment of large air pollution models. Kluwer Academic Publishers, Dordrecht (1995)
Zlatev, Z.: Massive data set issues in air pollution modelling. In: Abello, J., Pardalos, P.M., Resende, M.G.C. (eds.) Handbook on Massive Data Sets, pp. 1169–1220. Kluwer Academic Publishers, Dordrecht (2002)
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Alexandrov, V.N., Zlatev, Z. (2004). Using Parallel Monte Carlo Methods in Large-Scale Air Pollution Modelling. In: Bubak, M., van Albada, G.D., Sloot, P.M.A., Dongarra, J. (eds) Computational Science - ICCS 2004. ICCS 2004. Lecture Notes in Computer Science, vol 3039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25944-2_64
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DOI: https://doi.org/10.1007/978-3-540-25944-2_64
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