Mathematical Modeling and Simulation: Introduction for Scientists and Engineers

Kai Velten
ISBN: 978-3-527-40758-3
Paperback
362 pages
February 2009

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra—all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author's modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?
The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software—including 3D CFD and structural mechanics simulation software—can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
„...Very solid introductory text at the undergraduate level aimed at wide audience. Perfectly fits introductory modeling courses at colleges and universities that prefer to use opensource software rather than commercial one, and is an enjoyable reading in the first place. Highly recommended both as a main text and a supplementary one...“
Yuri V. Rogovchenko (University of Kalmar, Sweden) in: Zentralblatt MATH (European Mathematical Society)