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CRC Press Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theory (Monographs & Surveys in Pure & Applied Mathematics)

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Description

Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately determining diffraction from classes of canonical scatterers with comprising edges and other complex cavity features. It is an authoritative account of mathematical developments over the last two decades that provides benchmarks against which solutions obtained by numerical methods can be verified. The first volume, Canonical Structures in Potential Theory, develops the mathematics, solving mixed boundary potential problems for structures with cavities and edges. The second volume, Acoustic and Electromagnetic Diffraction by Canonical Structures, examines the diffraction of acoustic and electromagnetic waves from several classes of open structures with edges or cavities. Together these volumes present an authoritative and unified treatment of potential theory and diffraction-the first complete description quantifying the scattering mechanisms in complex structures. Review "self-contained and well written addressed to mathematicians, physicists, and electrical engineers." - Mathematical Reviews "It does...provide a very comprehensive reference work on a method of solution of a wide variety of potential problems involving bodies with edges, and anyone wishing to solve such a problem would be well advised to consult it either for the solution or for possible methods to approach it." -Derek Collins, SIAM Review, Vol 44, No. 2, 2002 About the Author Vinogradov, S.S. | Smith, P. D. | Vinogradova, E.D.

Product Specifications

Format
Paperback
Domain
Amazon UK
Release Date
18 December 2020
Listed Since
29 June 2020

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