The book "Fast and Efficient Algorithms in Computational Electromagnetics" provides a comprehensive overview of recent advancements in computational electromagnetics, focusing on the development and application of fast algorithms to solve Maxwell's equations. The book is edited by Weng Cho Chew, Jian-Ming Jin, Eric Michielssen, and Jiming Song, and is published by Artech House, INC. in Boston and London. The content is divided into several chapters, each addressing different aspects of computational electromagnetics: 1. **Introduction to Electromagnetic Analysis and Computational Electromagnetics**: This chapter provides an overview of the field, its history, and the importance of fast algorithms in solving electromagnetic problems. 2. **Fast Multipole Method and Multilevel Fast Multipole Algorithm in 2D**: It introduces the fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA) in two dimensions, discussing interpolation, truncation, and integration errors. 3. **FMM and MLFMA in 3D and Fast Illinois Solver Code**: This chapter extends the discussion to three-dimensional FMM and MLFMA, detailing their application to real-world problems and parallelization on shared-memory machines. 4. **Parallelization of Multilevel Fast Multipole Algorithm on Distributed Memory Computers**: It outlines the challenges and solutions for parallelizing MLFMA on distributed memory machines, using the ScaleME code. 5. **Low-Frequency Solution of Maxwell’s Equations**: This chapter addresses the low-frequency behavior of FMM and MLFMA, including methods to prevent catastrophic breakdown and apply them to low-frequency problems. 6. **Error Analysis of Surface Integral Equation Methods**: It discusses various error issues in solving surface integral equations, including discretization and integration errors, and the impact of deconditioning. 7. **Advances in the Theory of Perfectly Matched Layers**: This chapter explores the theory of perfectly matched layers (PML) and their application to curvilinear coordinates and complex media. 8. **Fast Forward and Inverse Methods for Buried Objects**: It addresses the efficient solution of forward and inverse problems for buried objects using FFT-based methods. 9. **Low-Frequency Scattering from Penetrable Bodies**: This chapter discusses solving low-frequency scattering problems from penetrable bodies, ensuring stability across the frequency range. 10. **Efficient Analysis of Waveguiding Structures**: It presents algorithms for solving waveguide structures using numerical mode matching and the spectral Lanczos decomposition method. 11. **Volume-Surface Integral Equation**: This chapter addresses the concurrent solution of volume and surface integral equations, using MLFMA to accelerate the process. 12. **Finite Element Analysis of Complex Axisymmetric Problems**: It discusses solving axially symmetric problems using the finite element method (FEM) and cylindrical PMLs. 13. **Hybridization in Computational Electromagnetics**: This chapter explores hybrid techniques combining FEM with absorbing boundaryThe book "Fast and Efficient Algorithms in Computational Electromagnetics" provides a comprehensive overview of recent advancements in computational electromagnetics, focusing on the development and application of fast algorithms to solve Maxwell's equations. The book is edited by Weng Cho Chew, Jian-Ming Jin, Eric Michielssen, and Jiming Song, and is published by Artech House, INC. in Boston and London. The content is divided into several chapters, each addressing different aspects of computational electromagnetics: 1. **Introduction to Electromagnetic Analysis and Computational Electromagnetics**: This chapter provides an overview of the field, its history, and the importance of fast algorithms in solving electromagnetic problems. 2. **Fast Multipole Method and Multilevel Fast Multipole Algorithm in 2D**: It introduces the fast multipole method (FMM) and the multilevel fast multipole algorithm (MLFMA) in two dimensions, discussing interpolation, truncation, and integration errors. 3. **FMM and MLFMA in 3D and Fast Illinois Solver Code**: This chapter extends the discussion to three-dimensional FMM and MLFMA, detailing their application to real-world problems and parallelization on shared-memory machines. 4. **Parallelization of Multilevel Fast Multipole Algorithm on Distributed Memory Computers**: It outlines the challenges and solutions for parallelizing MLFMA on distributed memory machines, using the ScaleME code. 5. **Low-Frequency Solution of Maxwell’s Equations**: This chapter addresses the low-frequency behavior of FMM and MLFMA, including methods to prevent catastrophic breakdown and apply them to low-frequency problems. 6. **Error Analysis of Surface Integral Equation Methods**: It discusses various error issues in solving surface integral equations, including discretization and integration errors, and the impact of deconditioning. 7. **Advances in the Theory of Perfectly Matched Layers**: This chapter explores the theory of perfectly matched layers (PML) and their application to curvilinear coordinates and complex media. 8. **Fast Forward and Inverse Methods for Buried Objects**: It addresses the efficient solution of forward and inverse problems for buried objects using FFT-based methods. 9. **Low-Frequency Scattering from Penetrable Bodies**: This chapter discusses solving low-frequency scattering problems from penetrable bodies, ensuring stability across the frequency range. 10. **Efficient Analysis of Waveguiding Structures**: It presents algorithms for solving waveguide structures using numerical mode matching and the spectral Lanczos decomposition method. 11. **Volume-Surface Integral Equation**: This chapter addresses the concurrent solution of volume and surface integral equations, using MLFMA to accelerate the process. 12. **Finite Element Analysis of Complex Axisymmetric Problems**: It discusses solving axially symmetric problems using the finite element method (FEM) and cylindrical PMLs. 13. **Hybridization in Computational Electromagnetics**: This chapter explores hybrid techniques combining FEM with absorbing boundary