These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.

Thomas Hagstrom: New results on absorbing layers and radiation boundary conditions.- Oscar Bruno: Fast, high-order, high-frequency integral methods for computational acoustics and electromagnetics.- Analisa Buffaand Ralf Hiptmair:Galerkin boundary element methods for electromagnetic scattering.- Martin Costabel and Monique Dauge:Computation of resonance frequencies for Maxwell equations in non-smooth domains.-Leszek Demkowicz: hp-adaptive finite elements for time-harmonic Maxwell equations.-Patrick Joly: Variational methods for time-dependent wave propagation problems.- Bengt Fornberg: Some numerical techniques for Maxwell''s equations in different types of geometries.-Tuong Ha Duong: On retarded potential boundary integral equations and their discretisation.- Andreas Kirsch: Inverse scattering theory for time-harmonic waves.- David Colton and Peter Monk:Herglotz wave functions in inverse electromagnetic scattering theory.