Green's functions with applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton, Fla.
Chapman & Hall/CRC
2001
|
| Schriftenreihe: | Studies in advanced mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 443 S. Ill., graph. Darst. |
| ISBN: | 1584881100 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | GREEN S FUNCTIONS WITH APPLICATIONS DEAN G. DUFFY CHAPMAN & HALL/CRC
BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS INTRODUCTION
DEFINITIONS OF THE MOST COMMONLY USED FUNCTIONS 1 SOME BACKGROUND
MATERIAL 1 1.1 HISTORICAL DEVELOPMENT 1 1.2 THE DIRAC DELTA FUNCTION 5
1.3 GREEN S FORMULAS 14 1.4 WHAT IS A GREEN S FUNCTION? 18 2 GREEN S
FUNCTIONS FOR ORDINARY DIFFERENTIAL EQUATIONS 27 2.1 INITIAL-VALUE
PROBLEMS 27 2.2 THE SUPERPOSITION INTEGRAL 33 2.3 REGULAR BOUNDARY-VALUE
PROBLEMS 35 2.4 EIGENFUNCTION EXPANSION FOR REGULAR BOUNDARY-VALUE
PROBLEMS 44 2.5 SINGULAR BOUNDARY-VALUE PROBLEMS 51 2.6 MAXWELL S
RECIPROCITY 59 3 GREEN S FUNCTIONS FOR THE WAVE EQUATION 75 3.1
ONE-DIMENSIONAL WAVE EQUATION IN AN UNLIMITED DOMAIN 79 3.2
ONE-DIMENSIONAL WAVE EQUATION ON THE INTERVAL 0 X L 90 3.3
AXISYMMETRIC VIBRATIONS OF A CIRCULAR MEMBRANE 96 3.4 TWO-DIMENSIONAL
WAVE EQUATION IN AN UNLIMITED DOMAIN 97 3.5 THREE-DIMENSIONAL WAVE
EQUATION IN AN UNLIMITED DOMAIN 99 3.6 ASYMMETRIC VIBRATIONS OF A
CIRCULAR MEMBRANE 108 3.7 THERMAL WAVES 113 3.8 DISCRETE WAVENUMBER
REPRESENTATION 115 3.9 LEAKY MODES 117 3.10 WATER WAVES 136 4 GREEN S
FUNCTION FOR THE HEAT EQUATION 177 4.1 HEAT EQUATION OVER INFINITE OR
SEMI-INFINITE DOMAINS 181 4.2 HEAT EQUATION WITHIN A FINITE CARTESIAN
DOMAIN 197 4.3 HEAT EQUATION WITHIN A CYLINDER 209 4.4 HEAT EQUATION
WITHIN A SPHERE 222 4.5 PRODUCT SOLUTION 226 4.6 ABSOLUTE AND CONVECTIVE
INSTABILITY 231 5 GREEN S FUNCTION FOR THE HELMHOLTZ EQUATION 269 5.1
FREE-SPACE GREEN S FUNCTIONS FOR HELMHOLTZ S AND POISSON S EQUATIONS 273
5.2 TWO-DIMENSIONAL POISSON S EQUATION OVER RECTANGULAR AND CIRCULAR
DOMAINS 291 5.3 TWO-DIMENSIONAL HELMHOLTZ EQUATION OVER RECTANGULAR AND
CIRCULAR DOMAINS 305 5.4 POISSON S AND HELMHOLTZ S EQUATIONS ON A
RECTANGULAR STRIP 321 5.5 THREE-DIMENSIONAL PROBLEMS IN A HALF-SPACE 330
5.6 THREE-DIMENSIONAL POISSON S EQUATION IN A CYLINDRICAL DOMAIN 336 5.7
POISSON S EQUATION FOR A SPHERICAL DOMAIN 338 5.8 IMPROVING THE
CONVERGENCE RATE OF GREEN S FUNCTIONS 344 APPENDIX A: THE FOURIER
TRANSFORM 391 A.I DEFINITION AND PROPERTIES OF FOURIER TRANSFORMS 391
A.2 INVERSION OF FOURIER TRANSFORMS 393 A.3 SOLUTION OF ORDINARY
DIFFERENTIAL EQUATIONS 396 A.3 SOLUTION OF PARTIAL DIFFERENTIAL
EQUATIONS 398 APPENDIX B: THE LAPLACE TRANSFORM 401 B.I DEFINITION AND
ELEMENTARY PROPERTIES 401 B.2 THE SHIFTING THEOREMS 404 B.3 CONVOLUTION
406 B.4 SOLUTION OF LINEAR ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT
COEFFICIENTS 407 B.5 INVERSION BY CONTOUR INTEGRATION 409 B.6 SOLUTION
OF PARTIAL DIFFERENTIAL EQUATIONS 413 APPENDIX C: BESSEL FUNCTIONS 417
C.I BESSEL FUNCTIONS AND THEIR PROPERTIES 417 C.2 HANKEL FUNCTIONS 421
C.3 FOURIER-BESSEL SERIES 423 APPENDIX D: RELATIONSHIP BETWEEN SOLUTIONS
OF HELMHOLTZ S AND LAPLACE S EQUATIONS IN CYLINDRICAL AND SPHERICAL
COORDINATES 429 ANSWERS TO SOME OF THE PROBLEMS 433 INDEX 441
|
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| bvnumber | BV013848090 |
| callnumber-first | Q - Science |
| callnumber-label | QA371 |
| callnumber-raw | QA371 |
| callnumber-search | QA371 |
| callnumber-sort | QA 3371 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 500 SK 950 |
| classification_tum | MAT 342f MAT 354f PHY 013f |
| ctrlnum | (OCoLC)46364799 (DE-599)BVBBV013848090 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV013848090 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:07Z |
| institution | BVB |
| isbn | 1584881100 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009472189 |
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| physical | 443 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall/CRC |
| record_format | marc |
| series2 | Studies in advanced mathematics |
| spelling | Duffy, Dean G. Verfasser aut Green's functions with applications Dean G. Duffy Boca Raton, Fla. Chapman & Hall/CRC 2001 443 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Green, Fonctions de Green's functions Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s Randwertproblem (DE-588)4048395-2 s Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009472189&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Duffy, Dean G. Green's functions with applications Green, Fonctions de Green's functions Mathematische Physik (DE-588)4037952-8 gnd Randwertproblem (DE-588)4048395-2 gnd Green-Funktion (DE-588)4158123-4 gnd |
| subject_GND | (DE-588)4037952-8 (DE-588)4048395-2 (DE-588)4158123-4 |
| title | Green's functions with applications |
| title_auth | Green's functions with applications |
| title_exact_search | Green's functions with applications |
| title_full | Green's functions with applications Dean G. Duffy |
| title_fullStr | Green's functions with applications Dean G. Duffy |
| title_full_unstemmed | Green's functions with applications Dean G. Duffy |
| title_short | Green's functions with applications |
| title_sort | green s functions with applications |
| topic | Green, Fonctions de Green's functions Mathematische Physik (DE-588)4037952-8 gnd Randwertproblem (DE-588)4048395-2 gnd Green-Funktion (DE-588)4158123-4 gnd |
| topic_facet | Green, Fonctions de Green's functions Mathematische Physik Randwertproblem Green-Funktion |
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