Canonical Problems in Scattering and Potential Theory - Two volume set (Monographs & Surveys in Pure & Applied Mathematics)

by S.S. Vinogradov, P.D. Smith, and E.D. Vinogradova

Alan Jeffrey (Editor), H. Brezis (Editor), and Ronald G Douglas (Editor)

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Book cover for Canonical Problems in Scattering and Potential Theory - Two volume set

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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.
  • ISBN10 158488164X
  • ISBN13 9781584881643
  • Publish Date 26 April 2002
  • Publish Status Active
  • Publish Country US
  • Publisher Taylor & Francis Ltd
  • Imprint Chapman & Hall/CRC
  • Format Hardcover
  • Pages 912
  • Language English