<p>This book presents current spatial and temporal multiscaling approaches of materials modeling. Recent results demonstrate the deduction of macroscopic properties at the device and component level by simulating structures and materials sequentially on atomic, micro- and mesostructural scales. The
Introduction To Multiscale Mathematical Modeling
β Scribed by Grigory Panasenko
- Publisher
- World Scientific Publishing
- Year
- 2022
- Tongue
- English
- Leaves
- 170
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
This book introduces the reader to multiscale mathematical modeling that starts by describing a physical process at the microscopic level, and is followed by the macroscopic description of that process. There are two preliminary chapters introducing the main equations of mathematical physics and serves as revision of all of the necessary mathematical notions needed to navigate the domain of multiscale research. The author gives a rigorous presentation of the tools of mathematical modeling, as well as an evaluation of the errors of the method. This allows readers to analyze the limitations and accuracy of the method. The book is accessible to a wide range of readers, from specialists in engineering to applied mathematicians working in the applications of materials science, biophysics and medicine.
π SIMILAR VOLUMES
<p>This book presents current spatial and temporal multiscaling approaches of materials modeling. Recent results demonstrate the deduction of macroscopic properties at the device and component level by simulating structures and materials sequentially on atomic, micro- and mesostructural scales. The
<p>This book exhibits current approaches to multiscaling in the spatial and temporal domain of materials modeling. The task of deducing properties and behaviours at the device and component level by simulating structures and materials at the atomic and microstructure scales is demonstrated by recent
<P><STRONG>Introduction to Mathematical Modeling</STRONG> helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes.</P>
Employing a practical, "learn by doing" approach, this 1st-rate text fosters the development of the skills beyond pure mathematics needed to set up and manipulate mathematical models. From a diversity of fields β including science, engineering, and operations research β come over 100 reality-based e