@article{754794,
      recid = {754794},
      author = {Sayas, Francisco-Javier,},
      title = {Retarded potentials and time domain boundary integral  equations a road map / [electronic resource] :},
      pages = {1 online resource (xv, 242 pages) :},
      abstract = {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.},
      url = {http://library.usi.edu/record/754794},
      doi = {https://doi.org/10.1007/978-3-319-26645-9},
}