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000754794 020__ $$a9783319266459$$q(electronic book)
000754794 020__ $$a3319266454$$q(electronic book)
000754794 020__ $$z9783319266435
000754794 0247_ $$a10.1007/978-3-319-26645-9$$2doi
000754794 035__ $$aSP(OCoLC)ocn946724569
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000754794 08204 $$a515/.96$$223
000754794 1001_ $$aSayas, Francisco-Javier,$$eauthor.
000754794 24510 $$aRetarded potentials and time domain boundary integral equations$$h[electronic resource] :$$ba road map /$$cFrancisco-Javier Sayas.
000754794 264_1 $$aSwitzerland :$$bSpringer,$$c2016.
000754794 300__ $$a1 online resource (xv, 242 pages) :$$billustrations.
000754794 336__ $$atext$$btxt$$2rdacontent
000754794 337__ $$acomputer$$bc$$2rdamedia
000754794 338__ $$aonline resource$$bcr$$2rdacarrier
000754794 4901_ $$aSpringer series in computational mathematics,$$x0179-3632 ;$$v50
000754794 504__ $$aIncludes bibliographical references and index.
000754794 5050_ $$aThe retarted layer potentials -- From time domain to Laplace domain -- From Laplace domain to time domain -- Convulution Quadrature -- The Discrete layer potentials -- A General Class of Second Order Differential Equations.- Time domain analysis of the single layer potential.- Time domain analysis of the double layer potential.- Full discretization revisited -- Patterns, Extensions, and Conclusions -- Appendices.
000754794 506__ $$aAccess limited to authorized users.
000754794 520__ $$aThis book offers a thorough and self-contained exposition of the mathematics of time-domain boundary integral equations associated to the wave equation, including applications to scattering of acoustic and elastic waves. The book offers two different approaches for the analysis of these integral equations, including a systematic treatment of their numerical discretization using Galerkin (Boundary Element) methods in the space variables and Convolution Quadrature in the time variable. The first approach follows classical work started in the late eighties, based on Laplace transforms estimates. This approach has been refined and made more accessible by tailoring the necessary mathematical tools, avoiding an excess of generality. A second approach contains a novel point of view that the author and some of his collaborators have been developing in recent years, using the semigroup theory of evolution equations to obtain improved results. The extension to electromagnetic waves is explained in one of the appendices.
000754794 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 20, 2016).
000754794 650_0 $$aPotential theory (Mathematics)
000754794 650_0 $$aDelay differential equations.
000754794 650_0 $$aBoundary element methods.
000754794 77608 $$iPrint version:$$z9783319266435
000754794 830_0 $$aSpringer series in computational mathematics ;$$v50.
000754794 852__ $$bebk
000754794 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-26645-9$$zOnline Access$$91397441.1
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