Time-Domain Scattering
by
P. A. Martin
Book Details
Format
Hardback or Cased Book
Book Series
Encyclopedia of Mathematics and its Applications
ISBN-10
1108835597
ISBN-13
9781108835596
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jun 24th, 2021
Print length
267 Pages
Weight
576 grams
Dimensions
16.40 x 24.20 x 2.60 cms
Ksh 14,750.00
Manufactured on Demand
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Understanding the interaction of waves with obstacles is fundamental in many areas of science and engineering. This book synthesises mathematical methods for solving such scattering problems, with an emphasis on time-dependent problems. It will be a valuable resource for applied mathematicians, physicists and engineers.
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.
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