Innovative digital stochastic methods for multidimensional sensitivity analysis in air pollution modelling

V Todorov, I Dimov - Mathematics, 2022 - mdpi.com
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 …

Advanced stochastic approaches for Sobol'sensitivity indices evaluation

V Todorov, I Dimov, T Ostromsky, S Apostolov… - Neural Computing and …, 2021 - Springer
Sensitivity analysis is a modern promising technique for studying large systems such as
ecological systems. The main idea of sensitivity analysis is to evaluate and predict (through …

A study of highly efficient stochastic sequences for multidimensional sensitivity analysis

I Dimov, V Todorov, K Sabelfeld - Monte Carlo Methods and …, 2022 - degruyter.com
In this paper, we present and study highly efficient stochastic methods, including optimal
super convergent methods for multidimensional sensitivity analysis of large-scale ecological …

Optimized Quasi-Monte Carlo methods based on Van der Corput sequence for sensitivity analysis in air pollution modelling

V Todorov, I Dimov, T Ostromsky, Z Zlatev… - Recent Advances in …, 2022 - Springer
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 …

Sensitivity studies of pollutant concentrations calculated by the UNI-DEM with respect to the input emissions

I Dimov, R Georgieva, T Ostromsky, Z Zlatev - Open Mathematics, 2013 - degruyter.com
The influence of emission levels on the concentrations of four important air pollutants
(ammonia, ozone, ammonium sulphate and ammonium nitrate) over three European cities …

Variance-based sensitivity analysis of the unified Danish Eulerian model according to variations of chemical rates

I Dimov, R Georgieva, T Ostromsky, Z Zlatev - Numerical Analysis and Its …, 2013 - Springer
A special computational technology for sensitivity analysis of ozone concentrations
according to variations of rates of chemical reactions is developed. It allows us to study a …

Innovative Lattice Sequences Based on Component by Component Construction Method for Multidimensional Sensitivity Analysis

V Todorov, S Georgiev - … Conference on Modelling and Development of …, 2022 - Springer
Many challenges in the environmental protection exist since this is one of the leading
priorities worldwide. Sensitivity analysis plays a foundational role in the validating process of …

An advanced lattice rules with prime number of points with product weights for multidimensional sensitivity analysis

V Todorov, S Georgiev - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper an advanced stochastic approach based a lattice rule with improved generating
vector has been obtained and studied. The Unified Danish Eulerian Model (UNI-DEM) is a …

A Hammersley and van der Corput sequences comparison for multidimensional sensitivity analysis

V Todorov, S Georgiev - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper for the first time a Hammersley and van der Corput sequences comparison for
multidimensional sensitivity analysis has been done. Sensitivity analysis of model outputs to …

A comparison of optimal quasi-Monte Carlo algorithms for multidimensional sensitivity analysis of large-scale model

V Todorov, I Dimov, R Georgieva… - AIP Conference …, 2023 - pubs.aip.org
Quasi-Monte Carlo algorithms based on modified Sobol sequences, modified van der
Corput sequnces and modified lattice sequences are used in our sensitivity study of the …