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Numerical Techniques in Electromagnetics, 2nd ed.

Matthew N. O. Sadiku

2000

760 pages

Contents
Review of Electromagnetic Theory
Classification of EM Problem
Some Important Theorems
Introduction
Separation of Variables
Separation of Variables in Rectangular Coordinates
Separation of Variables in Cylindrical Coordinates
Separation of Variables in Spherical Coordina
Some Useful Orthogonal Functions
Series Expansion
Practical Applications
Finite Difference Schemes
Finite Differencing of Parabolic PDEs
Finite Differencing of Hyperbolic PDEs
Finite Differencing of Elliptic PDEs
Accuracy and Stability of FD Solutions
Practical Application I - Guided Structures
Practical Applications II - Wave Scattering
Finite Differencing for Nonrectangular Systems
Absorbing Boundary Conditions for FDTD
Numerical Integration
Operators in Linear Spaces
Calculus of Variations
Construction of Functionals from PDEs
Rayleigh-Ritz Method
Weighted Residual Method
Eigenvalue Problems
Practical Applications
Integral Equations
Green's Functions
Applications I - Quasi-Static Problems
Applications II - Scattering Problems
Applications III - Radiation Problems
Application IV - EM Absorption in the Human Body
Solution of Laplace's Equation
Solution of Poisson's Equation
Solution of the Wave Equation
Automatic Mesh Generation I -Rectangular Domains
Automatic Mesh Generation II - Arbitrary Domains
Bandwidth Reduction
Higher Order Elements
Three-Dimensional Elements
Finite Element Methods for Exterior
Problems
Transmission-Line Equations
Solution of Diffusion Equation
Solution of Wave Equations
Inhomogeneous and Lossy Media in TLM
Three-Dimensional TLM Mesh
Error Sources and Correction
Absorbing Boundary Conditions
Generation of Random Numbers and Variables
Evaluation of Error
Numerical Integration
Solution of Potential Problems
Whole Field Computation by Markov Chain
Method of Lines
Vector Relations
Review of C++
Key Programs in C++
Solution of Simultaneous Equations
Answers to Odd-Numbered Problems

Each chapter also contains Concluding Remarks, References, and Problems