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Springer Series in Computational Mathematics

Retarded Potentials and Time Domain Boundary Integral Equations

A Road Map

Authors: Sayas, Francisco-Javier

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  • ​Full description of the rudiments of the vector-valued distributions as needed for the theory of time domain integral equations
  • First detailed exposition of the mathematical techniques for boundary integral equations for the wave equation
  • Large collection of problems and exercises
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eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-26645-9
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Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-26643-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
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  • ISBN 978-3-319-79986-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-319-26645-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-26643-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $84.99
price for USA in USD
  • ISBN 978-3-319-79986-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Retarded Potentials and Time Domain Boundary Integral Equations
Book Subtitle
A Road Map
Authors
Series Title
Springer Series in Computational Mathematics
Series Volume
50
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-26645-9
DOI
10.1007/978-3-319-26645-9
Hardcover ISBN
978-3-319-26643-5
Softcover ISBN
978-3-319-79986-5
Series ISSN
0179-3632
Edition Number
1
Number of Pages
XV, 242
Number of Illustrations
6 b/w illustrations, 2 illustrations in colour
Topics