Introduction To Multiscale Mathematical Modeling

This book provides a comprehensive introduction to multiscale mathematical modeling, covering physical processes from microscopic to macroscopic levels. It includes preliminary chapters on mathematical physics and offers rigorous tools for error evaluation, making it accessible to a wide range of readers.

Format: Hardback
Length: 172 pages
Publication date: 22 July 2022
Publisher: World Scientific Europe Ltd

This comprehensive book delves into the realm of multiscale mathematical modeling, commencing with a detailed description of a physical process at the microscopic level. It then proceeds to provide a macroscopic account of that process. To facilitate a smooth understanding of the subject matter, the book includes two preliminary chapters that serve as a comprehensive revision of the essential mathematical concepts required for navigating the domain of multiscale research. The author presents a rigorous and comprehensive exploration of the tools and methodologies employed in mathematical modeling, accompanied by an insightful evaluation of the potential errors associated with the method. By offering such a comprehensive analysis, readers are empowered to assess the limitations and accuracy of the modeling approach, enabling them to make informed decisions based on the results. This book is designed to appeal to a diverse audience, including specialists in engineering, applied mathematicians, and researchers in the fields of materials science, biophysics, and medicine. Its accessible writing style and comprehensive coverage make it an invaluable resource for anyone seeking to deepen their understanding of multiscale mathematical modeling and its applications in various scientific and technological disciplines.

ISBN-13: 9781800612310