The Resource Retarded potentials and time domain boundary integral equations : a road map, Francisco-Javier Sayas

Retarded potentials and time domain boundary integral equations : a road map, Francisco-Javier Sayas

Label
Retarded potentials and time domain boundary integral equations : a road map
Title
Retarded potentials and time domain boundary integral equations
Title remainder
a road map
Statement of responsibility
Francisco-Javier Sayas
Creator
Author
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
N$T
http://library.link/vocab/creatorName
Sayas, Francisco-Javier
Dewey number
515/.96
Illustrations
illustrations
Index
index present
LC call number
QA825
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Springer series in computational mathematics,
Series volume
50
http://library.link/vocab/subjectName
  • Potential theory (Mathematics)
  • Delay differential equations
  • Boundary element methods
  • MATHEMATICS
  • MATHEMATICS
  • Boundary element methods
  • Delay differential equations
  • Potential theory (Mathematics)
  • Differential calculus & equations
  • Numerical analysis
  • Integral calculus & equations
Label
Retarded potentials and time domain boundary integral equations : a road map, Francisco-Javier Sayas
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-26645-9
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xv, 242 pages)
File format
unknown
Form of item
online
Isbn
9783319266459
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-26645-9
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)946724569
  • (OCoLC)ocn946724569
Label
Retarded potentials and time domain boundary integral equations : a road map, Francisco-Javier Sayas
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-26645-9
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
1 online resource (xv, 242 pages)
File format
unknown
Form of item
online
Isbn
9783319266459
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-26645-9
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)946724569
  • (OCoLC)ocn946724569

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