Integral Transform Techniques for Green's Function:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
2014
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| Schriftenreihe: | Lecture Notes in Applied and Computational Mechanics
71 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated |
| Beschreibung: | 1 Online-Ressource (XII, 190 p.) 34 illus |
| ISBN: | 9783319008790 |
| DOI: | 10.1007/978-3-319-00879-0 |
Internformat
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| 505 | 0 | |a Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises | |
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Datensatz im Suchindex
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| adam_text | INTEGRAL TRANSFORM TECHNIQUES FOR GREEN S FUNCTION
/ WATANABE, KAZUMI
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
DEFINITION OF INTEGRAL TRANSFORMS AND DISTRIBUTIONS
GREEN S FUNCTIONS FOR LAPLACE AND WAVE EQUATIONS
GREEN S DYADIC FOR AN ISOTROPIC ELASTIC SOLID
ACOUSTIC WAVE IN AN UNIFORM FLOW
GREEN S FUNCTIONS FOR BEAM AND PLATE
CAGNIARD DE HOOP TECHNIQUE
MISCELLANEOUS GREEN S FUNCTIONS
EXERCISES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INTEGRAL TRANSFORM TECHNIQUES FOR GREEN S FUNCTION
/ WATANABE, KAZUMI
: 2014
ABSTRACT / INHALTSTEXT
IN THIS BOOK MATHEMATICAL TECHNIQUES FOR INTEGRAL TRANSFORMS ARE
DESCRIBED IN DETAIL BUT CONCISELY. THE TECHNIQUES ARE APPLIED TO THE
STANDARD PARTIAL DIFFERENTIAL EQUATIONS, SUCH AS THE LAPLACE EQUATION,
THE WAVE EQUATION AND ELASTICITY EQUATIONS. THE GREEN S FUNCTIONS FOR
BEAMS, PLATES AND ACOUSTIC MEDIA ARE ALSO SHOWN ALONG WITH THEIR
MATHEMATICAL DERIVATIONS. LISTS OF GREEN S FUNCTIONS ARE PRESENTED FOR
THE FUTURE USE. THE CAGNIARD S-DE HOOP METHOD FOR THE DOUBLE INVERSION
IS DESCRIBED IN DETAIL, AND 2D AND 3D ELASTO-DYNAMICS PROBLEMS ARE FULLY
TREATED
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Watanabe, Kazumi |
| author_facet | Watanabe, Kazumi |
| author_role | aut |
| author_sort | Watanabe, Kazumi |
| author_variant | k w kw |
| building | Verbundindex |
| bvnumber | BV041470926 |
| collection | ZDB-2-ENG |
| contents | Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises |
| ctrlnum | (OCoLC)874381437 (DE-599)BVBBV041470926 |
| dewey-full | 519 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-00879-0 |
| format | Electronic eBook |
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| id | DE-604.BV041470926 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-01T10:55:48Z |
| institution | BVB |
| isbn | 9783319008790 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026917069 |
| oclc_num | 874381437 |
| open_access_boolean | |
| owner | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| owner_facet | DE-Aug4 DE-92 DE-634 DE-859 DE-898 DE-BY-UBR DE-573 DE-861 DE-706 DE-863 DE-BY-FWS DE-862 DE-BY-FWS |
| physical | 1 Online-Ressource (XII, 190 p.) 34 illus |
| psigel | ZDB-2-ENG |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| record_format | marc |
| series | Lecture Notes in Applied and Computational Mechanics |
| series2 | Lecture Notes in Applied and Computational Mechanics |
| spellingShingle | Watanabe, Kazumi Integral Transform Techniques for Green's Function Lecture Notes in Applied and Computational Mechanics Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises Engineering Integral Transforms Engineering mathematics Mechanics, applied Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Integral Transforms, Operational Calculus Ingenieurwissenschaften |
| title | Integral Transform Techniques for Green's Function |
| title_auth | Integral Transform Techniques for Green's Function |
| title_exact_search | Integral Transform Techniques for Green's Function |
| title_full | Integral Transform Techniques for Green's Function by Kazumi Watanabe |
| title_fullStr | Integral Transform Techniques for Green's Function by Kazumi Watanabe |
| title_full_unstemmed | Integral Transform Techniques for Green's Function by Kazumi Watanabe |
| title_short | Integral Transform Techniques for Green's Function |
| title_sort | integral transform techniques for green s function |
| topic | Engineering Integral Transforms Engineering mathematics Mechanics, applied Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Integral Transforms, Operational Calculus Ingenieurwissenschaften |
| topic_facet | Engineering Integral Transforms Engineering mathematics Mechanics, applied Appl.Mathematics/Computational Methods of Engineering Theoretical and Applied Mechanics Integral Transforms, Operational Calculus Ingenieurwissenschaften |
| url | https://doi.org/10.1007/978-3-319-00879-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026917069&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=026917069&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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