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Optimized Quasi-Monte Carlo Methods Based on Van der Corput Sequence for Sensitivity Analysis in Air Pollution Modelling

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Recent Advances in Computational Optimization (WCO 2020)

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Abstract

An optimization version of the van der Corput sequence has been used in our sensitivity studies of the model output results for some air pollutants with respect to the emission levels and some chemical reactions rates. Sensitivity analysis of model outputs to variation or natural uncertainties of model inputs is very significant for improving the reliability of these models. Clearly, the progress in the area of air pollution modeling, is closely connected with the progress in reliable algorithms for multidimensional integration.

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Acknowledgements

Venelin Todorov is supported by the by the Bulgarian National Science Fund under Project DN 12/5-2017 “Efficient Stochastic Methods and Algorithms for Large-Scale Problems” and by the National Scientific Program “Information and Communication Technologies for a Single Digital Market in Science, Education and Security (ICT in SES)”, contract No DO1-205/23.11.2018, financed by the Ministry of Education and Science in Bulgaria. The work is also supported by Young Scientists Project KP-06-M32/2—17.12.2019 “Advanced Stochastic and Deterministic Approaches for Large-Scale Problems of Computational Mathematics” and by Project KP-06-Russia/17 “New Highly Efficient Stochastic Simulation Methods and Applications” funded by National Science Fund—Bulgaria. Barcelona Supercompputing Centre (BSC) is kindly acknowledged too for granting us access and computer time on their most powerful supercomputer.

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Todorov, V., Dimov, I., Ostromsky, T., Zlatev, Z., Georgieva, R., Poryazov, S. (2022). Optimized Quasi-Monte Carlo Methods Based on Van der Corput Sequence for Sensitivity Analysis in Air Pollution Modelling. In: Fidanova, S. (eds) Recent Advances in Computational Optimization. WCO 2020. Studies in Computational Intelligence, vol 986. Springer, Cham. https://doi.org/10.1007/978-3-030-82397-9_20

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