Integral transform techniques for green's function:
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Edition: | 2. ed. |
| Series: | Lecture notes in applied and computational mechanics
76 |
| Subjects: | |
| Online Access: | BHS01 BTU01 FAB01 FAW01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XIV, 264 p. 53 illus., 26 illus. in color) |
| ISBN: | 9783319174556 |
| DOI: | 10.1007/978-3-319-17455-6 |
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Record in the Search Index
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| adam_text | INTEGRAL TRANSFORM TECHNIQUES FOR GREEN S FUNCTION
/ WATANABE, KAZUMI
: 2015
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
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK DESCRIBES MATHEMATICAL TECHNIQUES FOR INTEGRAL TRANSFORMS IN A
DETAILED BUT CONCISE MANNER. THE TECHNIQUES ARE SUBSEQUENTLY APPLIED TO
THE STANDARD PARTIAL DIFFERENTIAL EQUATIONS, SUCH AS THE LAPLACE
EQUATION, THE WAVE EQUATION AND ELASTICITY EQUATIONS. GREEN’S
FUNCTIONS FOR BEAMS, PLATES AND ACOUSTIC MEDIA ARE ALSO SHOWN, ALONG
WITH THEIR MATHEMATICAL DERIVATIONS. THE CAGNIARD-DE HOOP METHOD FOR
DOUBLE INVERSION IS DESCRIBED IN DETAIL, AND 2D AND 3D ELASTODYNAMIC
PROBLEMS ARE TREATED IN FULL. THIS NEW EDITION EXPLAINS IN DETAIL HOW TO
INTRODUCE THE BRANCH CUT FOR THE MULTI-VALUED SQUARE ROOT FUNCTION.
FURTHER, AN EXACT CLOSED FORM GREEN’S FUNCTION FOR TORSIONAL WAVES IS
PRESENTED, AS WELL AS AN APPLICATION TECHNIQUE OF THE COMPLEX INTEGRAL,
WHICH INCLUDES THE SQUARE ROOT FUNCTION AND AN APPLICATION TECHNIQUE OF
THE COMPLEX INTEGRAL
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Watanabe, Kazumi |
| author_GND | (DE-588)1047573482 |
| author_facet | Watanabe, Kazumi |
| author_role | aut |
| author_sort | Watanabe, Kazumi |
| author_variant | k w kw |
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| collection | ZDB-2-ENG |
| ctrlnum | (OCoLC)910491114 (DE-599)BVBBV042544552 |
| 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 | 10.1007/978-3-319-17455-6 |
| edition | 2. ed. |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2025-02-20T06:51:33Z |
| institution | BVB |
| isbn | 9783319174556 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027978558 |
| oclc_num | 910491114 |
| open_access_boolean | |
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| physical | 1 Online-Ressource (XIV, 264 p. 53 illus., 26 illus. in color) |
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| publishDate | 2015 |
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| publishDateSort | 2015 |
| publisher | Springer |
| 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 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 Kazumi Watanabe |
| title_fullStr | Integral transform techniques for green's function Kazumi Watanabe |
| title_full_unstemmed | Integral transform techniques for green's function 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/10.1007/978-3-319-17455-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978558&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=027978558&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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