The Nystrom Method in Electromagnetics - (IEEE Press) by Mei Song Tong & Weng Cho Chew (Hardcover)

About the Book

"Systematically introduces the fundamental principles, equations and advantages of the Nystrèom method for solving electromagnetic problems. Features the unique benefits of using the Nystrèom method through numerical comparisons with other numerical and analytical methods. Covers a broad range of application examples that will point the way for future research Market description: Primary: Graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics Secondary: Practicing engineers/ industry professionals working in engineering electromagnetics and engineering mathematics"--

Book Synopsis

A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations

Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method--providing information on everything that students and professionals working in the field need to know.

Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm.

• Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems
• Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods
• Covers a broad range of application examples that will point the way for future research

The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

From the Back Cover

A comprehensive, step-by-step reference to the Nyström method for solving electromagnetic problems using integral equations

Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method - providing information on everything that students and professionals working in the field need to know.

Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multipole algorithm.

• Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems
• Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods
• Covers a broad range of application examples that will point the way for future research

The Nyström Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

About the Author

Mei Song Tong, PhD, is currently a Distinguished Professor, Chair of the Department of Electronic Science and Technology, and Vice-Dean of the College of Microelectronics, Tongji University, Shanghai, China.

Weng Cho Chew, PhD, is a Distinguished Professor at the School of Electrical and Computer Engineering, Purdue University, West Lafayette, Indiana, USA, and a Fellow of IEEE, OSA, IOP, and HKIE.