Cargando…
Retarded Potentials and Time Domain Boundary Integral Equations A Road Map /
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 equ...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | Springer Series in Computational Mathematics,
50 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-26645-9 | ||
| 003 | DE-He213 | ||
| 005 | 20220119043336.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160412s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319266459 |9 978-3-319-26645-9 | ||
| 024 | 7 | |a 10.1007/978-3-319-26645-9 |2 doi | |
| 050 | 4 | |a QA431 | |
| 072 | 7 | |a PBKL |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKL |2 thema | |
| 082 | 0 | 4 | |a 515.45 |2 23 |
| 100 | 1 | |a Sayas, Francisco-Javier. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Retarded Potentials and Time Domain Boundary Integral Equations |h [electronic resource] : |b A Road Map / |c by Francisco-Javier Sayas. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XV, 242 p. 8 illus., 2 illus. in color. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 50 | |
| 505 | 0 | |a The 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematics-Data processing. | |
| 650 | 1 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Computational Mathematics and Numerical Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319266435 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319266442 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319799865 |
| 830 | 0 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 50 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-26645-9 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||