Air pollution modeling for accidents involving hazardous substances is a critical aspect of emergency response and environmental protection. This modeling aims to predict the dispersion and impact of toxic substances ...
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Integral equations are of high applicability in different areas of applied mathematics, physics, engineering, geophysics, electricity and magnetism, kinetic theory of gases, quantum mechanics, mathematical economics, ...
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In this paper we develop advanced multidimensional sensitivity analysis, based on some innovative stochastic approaches for performing air pollution modelling on a large-scale model of long-range transport of air poll...
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A novel version of Monte Carlo algorithm for solving systems of linear algebraic equations is presented and studied. The algorithm is similar to the "Walk on Equations"Monte Carlo method recently developed b...
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In this study, we explore a stochastic methodology for addressing Volterra integral equations, particularly focusing on a multidimensional context. We provide a comprehensive examination of the method’s potential str...
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In this study, we explore an advanced stochastic approach tailored for solving large-scale systems of linear algebraic equations. The core of our research is the application and enhancement of the Monte Carlo method, ...
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This paper introduces a sophisticated approach to multidimensional sensitivity analysis by utilizing novel stochastic techniques for air pollution modeling within the large-scale, long-range transport framework of the...
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Integral equations play a crucial role in various domains of applied mathematics, physics, and engineering. They are extensively utilized in fields such as mechanics, geophysics, kinetic theory of gases, quantum mecha...
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A design pattern is a description of a high-quality solution to a frequently occurring problem in some domain. A pattern language is a collection of design patterns that are carefully organized to embody a design meth...
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In this work we present a predictive analytical model that encompasses the performance and scaling characteristics of an important ASCI application. SAGE (SAIC's Adaptive Grid Eulerian hydrocode) is a multidimensi...
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