The series is devoted to the publication of high-level monographs and specialized graduate texts which cover the whole spectrum of applied mathematics, including its numerical aspects. The focus of the series is on the interplay between mathematical and numerical analysis, and also on its applications to mathematical models in the physical and life sciences.
Focusing on the development and application of mathematical models, the book explores their critical role in understanding long-range transport of air pollutants. It discusses the integration of physical and chemical mechanisms, the use of partial differential equations, and various numerical methods. Additionally, it highlights the importance of high-speed computing, statistical approaches, and advanced visualization techniques in analyzing complex data sets. These models are essential for investigating source-receptor relationships and formulating effective pollution reduction strategies.
Exploring the essential role of mathematics in various fields, the book emphasizes its function as a vital tool for thought in a complex world filled with feedback and non-linearities. It highlights how different branches of mathematics contribute to one another and to other sciences, suggesting a collaborative nature among mathematical disciplines. By applying simple rewriting rules, the text illustrates how the impact of mathematics extends into areas like physics, computer science, and beyond, reinforcing its significance in intellectual pursuits.
Volume 13
The book focuses on the critical organization of computational processes in solving large mathematical models, particularly those involving systems of partial differential equations in environmental studies. It emphasizes the need for efficient numerical methods and parallel coding, but highlights that proper organization is essential for managing vast computational tasks. The development of templates for various numerical methods and parallel devices is explored, demonstrating that effective organization can significantly enhance the execution of comprehensive environmental studies.