Retarded potentials and time domain boundary integral equations: a road map
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2016]
|
| Series: | Springer Series in Computational Mathematics
50 |
| Subjects: | |
| Online Access: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XV, 242 Seiten, 8 illus., 2 illus. in color) |
| ISBN: | 9783319266459 |
| ISSN: | 0179-3632 |
| DOI: | 10.1007/978-3-319-26645-9 |
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Record in the Search Index
| _version_ | 1804176205883113472 |
|---|---|
| adam_text | RETARDED POTENTIALS AND TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS
/ SAYAS, FRANCISCO-JAVIER
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
RETARDED POTENTIALS AND TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS
/ SAYAS, FRANCISCO-JAVIER
: 2016
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Sayas, Francisco-Javier |
| author_GND | (DE-588)1102223751 |
| author_facet | Sayas, Francisco-Javier |
| author_role | aut |
| author_sort | Sayas, Francisco-Javier |
| author_variant | f j s fjs |
| building | Verbundindex |
| bvnumber | BV043545913 |
| classification_rvk | SK 920 |
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| ctrlnum | (ZDB-2-SMA)978-3-319-26645-9 (OCoLC)950707346 (DE-599)BVBBV043545913 |
| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.45 |
| dewey-search | 515.45 |
| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-26645-9 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:28:29Z |
| institution | BVB |
| isbn | 9783319266459 |
| issn | 0179-3632 |
| language | English |
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| series | Springer Series in Computational Mathematics |
| series2 | Springer series in computational mathematics |
| spelling | Sayas, Francisco-Javier Verfasser (DE-588)1102223751 aut Retarded potentials and time domain boundary integral equations a road map Francisco-Javier Sayas Cham Springer [2016] © 2016 1 Online-Ressource (XV, 242 Seiten, 8 illus., 2 illus. in color) txt rdacontent c rdamedia cr rdacarrier Springer series in computational mathematics 50 0179-3632 Mathematics Integral equations Partial differential equations Computer mathematics Integral Equations Partial Differential Equations Computational Mathematics and Numerical Analysis Mathematik Erscheint auch als Druckausgabe 978-3-319-26643-5 Springer Series in Computational Mathematics 50 (DE-604)BV035421315 50 https://doi.org/10.1007/978-3-319-26645-9 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961276&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Sayas, Francisco-Javier Retarded potentials and time domain boundary integral equations a road map Springer Series in Computational Mathematics Mathematics Integral equations Partial differential equations Computer mathematics Integral Equations Partial Differential Equations Computational Mathematics and Numerical Analysis Mathematik |
| title | Retarded potentials and time domain boundary integral equations a road map |
| title_auth | Retarded potentials and time domain boundary integral equations a road map |
| title_exact_search | Retarded potentials and time domain boundary integral equations a road map |
| title_full | Retarded potentials and time domain boundary integral equations a road map Francisco-Javier Sayas |
| title_fullStr | Retarded potentials and time domain boundary integral equations a road map Francisco-Javier Sayas |
| title_full_unstemmed | Retarded potentials and time domain boundary integral equations a road map Francisco-Javier Sayas |
| title_short | Retarded potentials and time domain boundary integral equations |
| title_sort | retarded potentials and time domain boundary integral equations a road map |
| title_sub | a road map |
| topic | Mathematics Integral equations Partial differential equations Computer mathematics Integral Equations Partial Differential Equations Computational Mathematics and Numerical Analysis Mathematik |
| topic_facet | Mathematics Integral equations Partial differential equations Computer mathematics Integral Equations Partial Differential Equations Computational Mathematics and Numerical Analysis Mathematik |
| url | https://doi.org/10.1007/978-3-319-26645-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961276&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028961276&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421315 |
| work_keys_str_mv | AT sayasfranciscojavier retardedpotentialsandtimedomainboundaryintegralequationsaroadmap |