Time-Domain Scattering

Hardback

Main Details

Title Time-Domain Scattering
Authors and Contributors      By (author) P. A. Martin
SeriesEncyclopedia of Mathematics and its Applications
Physical Properties
Format:Hardback
Pages:267
Dimensions(mm): Height 234,Width 156
Category/GenreAcoustic and sound engineering
ISBN/Barcode 9781108835596
ClassificationsDewey:515.724
Audience
Professional & Vocational
Illustrations Worked examples or Exercises

Publishing Details

Publisher Cambridge University Press
Imprint Cambridge University Press
Publication Date 24 June 2021
Publication Country United Kingdom

Description

The wave equation, a classical partial differential equation, has been studied and applied since the eighteenth century. Solving it in the presence of an obstacle, the scatterer, can be achieved using a variety of techniques and has a multitude of applications. This book explains clearly the fundamental ideas of time-domain scattering, including in-depth discussions of separation of variables and integral equations. The author covers both theoretical and computational aspects, and describes applications coming from acoustics (sound waves), elastodynamics (waves in solids), electromagnetics (Maxwell's equations) and hydrodynamics (water waves). The detailed bibliography of papers and books from the last 100 years cement the position of this work as an essential reference on the topic for applied mathematicians, physicists and engineers.

Author Biography

P. A. Martin is Professor in the Department of Applied Mathematics and Statistics at Colorado School of Mines. He was the Editor-in-Chief of the SIAM Journal on Applied Mathematics and is the author of Multiple Scattering (Cambridge, 2006).