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OverviewThe 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. Full Product DetailsAuthor: P. A. Martin (Colorado School of Mines)Publisher: Cambridge University Press Imprint: Cambridge University Press Dimensions: Width: 15.60cm , Height: 1.90cm , Length: 23.40cm Weight: 0.588kg ISBN: 9781108835596ISBN 10: 1108835597 Pages: 267 Publication Date: 24 June 2021 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of Contents1. Acoustics and the Wave Equation; 2. Wavefunctions; 3. Characteristics and Discontinuities; 4. Initial-boundary Value Problems; 5. Use of Laplace Transforms; 6. Problems with Spherical Symmetry; 7. Scattering by a Sphere; 8. Scattering Frequencies and the Singularity Expansion Method; 9. Integral Representations; 10. Integral Equations; References; Citation Index; Index.ReviewsAuthor InformationP. 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). Tab Content 6Author Website:Countries AvailableAll regions |
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