Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling

Nowadays, much of the world has a regional air pollution strategy to limit and decrease the pollution levels across governmental borders and control their impact on human health and ecological systems. Environmental protection is among the leading priorities worldwide. Many challenges in this resear...

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Main Authors: Venelin Todorov, Ivan Dimov
Format: Article
Language:English
Published: MDPI AG 2022-06-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/12/2146
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author Venelin Todorov
Ivan Dimov
author_facet Venelin Todorov
Ivan Dimov
author_sort Venelin Todorov
collection DOAJ
description Nowadays, much of the world has a regional air pollution strategy to limit and decrease the pollution levels across governmental borders and control their impact on human health and ecological systems. Environmental protection is among the leading priorities worldwide. Many challenges in this research area exist since it is a painful subject for society and a fundamental topic for the healthcare system. Sensitivity analysis has a fundamental role during the process of validating a large-scale air pollution computational models to ensure their accuracy and reliability. We apply the best available stochastic algorithms for multidimensional sensitivity analysis of the UNI-DEM model, which plays a key role in the management of the many self-governed systems and data that form the basis for forecasting and analyzing the consequences of possible climate change. We develop two new highly convergent digital sequences with special generating matrices, which show significant improvement over the best available existing stochastic methods for measuring the sensitivity indices of the digital ecosystem. The results obtained through sensitivity analysis will play an extremely important multi-sided role.
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spelling doaj.art-690b1b1f9a6e486abd8dc9afa169826b2023-11-23T17:50:26ZengMDPI AGMathematics2227-73902022-06-011012214610.3390/math10122146Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution ModellingVenelin Todorov0Ivan Dimov1Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, BulgariaInstitute of Information and Communication Technologies, Bulgarian Academy of Sciences, 1113 Sofia, BulgariaNowadays, much of the world has a regional air pollution strategy to limit and decrease the pollution levels across governmental borders and control their impact on human health and ecological systems. Environmental protection is among the leading priorities worldwide. Many challenges in this research area exist since it is a painful subject for society and a fundamental topic for the healthcare system. Sensitivity analysis has a fundamental role during the process of validating a large-scale air pollution computational models to ensure their accuracy and reliability. We apply the best available stochastic algorithms for multidimensional sensitivity analysis of the UNI-DEM model, which plays a key role in the management of the many self-governed systems and data that form the basis for forecasting and analyzing the consequences of possible climate change. We develop two new highly convergent digital sequences with special generating matrices, which show significant improvement over the best available existing stochastic methods for measuring the sensitivity indices of the digital ecosystem. The results obtained through sensitivity analysis will play an extremely important multi-sided role.https://www.mdpi.com/2227-7390/10/12/2146air pollution modelingsensitivity analysismultidimensional integralsMonte Carlo methodsdigital sequences
spellingShingle Venelin Todorov
Ivan Dimov
Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
Mathematics
air pollution modeling
sensitivity analysis
multidimensional integrals
Monte Carlo methods
digital sequences
title Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
title_full Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
title_fullStr Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
title_full_unstemmed Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
title_short Innovative Digital Stochastic Methods for Multidimensional Sensitivity Analysis in Air Pollution Modelling
title_sort innovative digital stochastic methods for multidimensional sensitivity analysis in air pollution modelling
topic air pollution modeling
sensitivity analysis
multidimensional integrals
Monte Carlo methods
digital sequences
url https://www.mdpi.com/2227-7390/10/12/2146
work_keys_str_mv AT venelintodorov innovativedigitalstochasticmethodsformultidimensionalsensitivityanalysisinairpollutionmodelling
AT ivandimov innovativedigitalstochasticmethodsformultidimensionalsensitivityanalysisinairpollutionmodelling