Numerical Methods for Engineering
This textbook teaches students to create computer codes used to engineer antennas, microwave circuits, and other critical technologies for wireless communications and other applications of electromagnetic fields and waves. Worked code examples are provided for MATLAB technical computing software.
It is the only textbook on numerical methods that begins at the undergraduate engineering student level but bring students to the state-of-the-art by the end of the book. It focuses on the most important and popular numerical methods, going into depth with examples and problem sets of escalating complexity.
This book requires only one core course of electromagnetics, allowing it to be useful both at the senior and beginning graduate levels. Developing and using numerical methods in a powerful tool for students to learn the principles of intermediate and advanced electromagnetics. This book fills the missing space of current textbooks that either lack depth on key topics (particularly integral equations and the method of moments) and where the treatment is not accessible to students without an advanced theory course.
Important topics include: Method of Moments; Finite Difference Time Domain Method; Finite Element Method; Finite Element Method-Boundary Element Method; Numerical Optimization; and Inverse Scattering.
About the author
Karl F. Warnick received the B.S. degree (magna cum laude) with University Honors and the Ph.D. degree from Brigham Young University (BYU), Provo, UT, in 1994 and 1997, respectively. From 1998 to 2000, he was a Postdoctoral Research Associate and Visiting Assistant Professor in the Center for Computational Electromagnetics at the University of Illinois at Urbana-Champaign. Since 2000, he has been a faculty member in the Department of Electrical and Computer Engineering at BYU, where he is currently an Associate Professor.
He was a recipient of the National Science Foundation Graduate Research Fellowship, Outstanding Faculty Member award for Electrical and Computer Engineering (2005), the BYU Young Scholar Award (2007), and an honorary Guest Professorship at Nanjing University of Science and Technology. In 2005 and 2007, he was a Visiting Professor at the Technische Universität München, Germany.
Dr. Warnick has published many scientific articles and conference papers on electromagnetic theory, numerical methods, remote sensing, antenna applications, phased arrays, biomedical devices, and inverse scattering. He is a Senior Member of the Institute of Electrical and Electronics Engineers, and has served the IEEE Antennas and Propagation Society as a member of the Education Committee and as a session chair and special session organizer for the International Symposium on Antennas and Propagation.
2. Basic Numerical Tasks
3. Finite Difference Methods
4. Numerical Integration
5. Integral Equations and the Method of Moments
6. Solving Linear Systems
7. Variational Methods and the Rayleigh-Ritz Procedure
8. Finite Element Method
9. Optimization Methods
10. Inverse Problems