Canonical Problems in Scattering and Potential Theory Part by S.S. Vinogradov,P. D. Smith,E.D. Vinogradova PDF

By S.S. Vinogradov,P. D. Smith,E.D. Vinogradova

even if the research of scattering for closed our bodies of straightforward geometric form is definitely built, constructions with edges, cavities, or inclusions have appeared, earlier, intractable to analytical tools. This two-volume set describes a step forward in analytical strategies for effectively making a choice on diffraction from sessions of canonical scatterers with comprising edges and different advanced hollow space beneficial properties. it really is an authoritative account of mathematical advancements over the past 20 years that offers benchmarks opposed to which recommendations acquired via numerical tools will be verified.

The first quantity, Canonical constructions in power idea, develops the math, fixing combined boundary strength difficulties for buildings with cavities and edges. the second one quantity, Acoustic and Electromagnetic Diffraction by way of Canonical constructions, examines the diffraction of acoustic and electromagnetic waves from numerous periods of open buildings with edges or cavities. jointly those volumes current an authoritative and unified therapy of capability thought and diffraction-the first entire description quantifying the scattering mechanisms in advanced structures.

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Canonical Problems in Scattering and Potential Theory Part 1: Canonical Structures in Potential Theory: Volume 1 (Monographs and Surveys in Pure and Applied Mathematics) by S.S. Vinogradov,P. D. Smith,E.D. Vinogradova


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