Könyv Retarded Potentials and Time Domain Boundary Integral Equations FRANCISCO-JAV SAYAS

Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
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This book offers a thorough and self-contained exposition of the mathematics of time-domain boundary...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2018
oldal
242
EAN
9783319799865
ISBN
9783319799865
Enbook ID
19415495
Súly
3985
Méretek
155 x 235 x 15

Teljes leírás

This 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.

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