Verfügbarkeit: Green's functions

Green's functions: construction and applications

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Bibliographische Detailangaben
Hauptverfasser:	Melʹnykov, Jurij A. (VerfasserIn), Melnikov, Max Y. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin ; Boston de Gruyter 2012
Schriftenreihe:	De Gruyter studies in mathematics 42
Schlagworte:	Green-Funktion
Online-Zugang:	Inhaltstext Inhaltsverzeichnis
Beschreibung:	Literaturangaben
Beschreibung:	XII, 435 S. graph. Darst. 25 cm
ISBN:	311025302X 9783110253023

Internformat

MARC


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Datensatz im Suchindex

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adam_text	IMAGE 1 CONTENTS PREFACE VII 0 INTRODUCTION 1 1 GREEN'S FUNCTIONS FOR ODE 9 1.1 STANDARD PROCEDURE FOR CONSTRUCTION 9 1.2 SYMMETRY OF GREEN'S FUNCTIONS 25 1.3 ALTERNATIVE CONSTRUCTION PROCEDURE 33 1.4 CHAPTER EXERCISES 51 2 THE LAPLACE EQUATION 55 2.1 METHOD OF IMAGES 55 2.2 CONFORMAL MAPPING 74 2.3 METHOD OF EIGENFUNCTION EXPANSION 80 2.4 THREE-DIMENSIONAL PROBLEMS 122 2.5 CHAPTER EXERCISES 128 3 THE STATIC KLEIN-GORDON EQUATION 1 30 3.1 DEFINITION OF GREEN'S FUNCTION 130 3.2 METHOD OF IMAGES 133 3.3 METHOD OF EIGENFUNCTION EXPANSION 145 3.4 THREE-DIMENSIONAL PROBLEMS 160 3.5 CHAPTER EXERCISES 165 4 HIGHER ORDER EQUATIONS 167 4.1 DEFINITION OF GREEN'S FUNCTION 168 4.2 RECTANGULAR-SHAPED REGIONS 169 4.3 CIRCULAR-SHAPED REGIONS 180 4.4 THE EQUATION V 2 V 2 U (P) + X 4 W ( P ) = 0 199 4.5 ELLIPTIC SYSTEMS 206 4.6 CHAPTER EXERCISES 223 5 MULTI-POINT-POSED PROBLEMS 226 5.1 MATRIX OF GREEN'S TYPE 227 5.2 INFLUENCE FUNCTION OF A MULTI-SPAN BEAM 238 5.3 FURTHER EXTENSION OF THE FORMALISM 250 5.4 CHAPTER EXERCISES 263 HTTP://D-NB.INFO/1014558727 IMAGE 2 XII CONTENTS 6 PDE MATRICES OF GREEN'S TYPE 265 6.1 INTRODUCTORY COMMENTS 265 6.2 CONSTRUCTION OF MATRICES OF GREEN'S TYPE 268 6.3 FIELDS OF POTENTIAL ON SURFACES OF REVOLUTION 293 6.4 CHAPTER EXERCISES 315 7 DIFFUSION EQUATION 317 7.1 BASICS OF THE LAPLACE TRANSFORM 318 7.2 GREEN'S FUNCTIONS 322 7.3 MATRICES OF GREEN'S TYPE 350 7.4 CHAPTER EXERCISES 360 8 BLACK-SCHOLES EQUATION 362 8.1 THE FUNDAMENTAL SOLUTION 363 8.2 OTHER GREEN'S FUNCTIONS 370 8.3 A METHODOLOGICALLY VALUABLE EXAMPLE 388 8.4 NUMERICAL IMPLEMENTATIONS 393 8.5 CHAPTER EXERCISES 401 APPENDIX ANSWERS TO CHAPTER EXERCISES 402 BIBLIOGRAPHY 421 INDEX 427
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author	Melʹnykov, Jurij A. Melnikov, Max Y.
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dewey-ones	515 - Analysis
dewey-raw	515.353
dewey-search	515.353
dewey-sort	3515.353
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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spelling	Melʹnykov, Jurij A. Verfasser (DE-588)172883415 aut Green's functions construction and applications Yuri A. Melnikov ; Max Y. Melnikov Berlin ; Boston de Gruyter 2012 XII, 435 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter studies in mathematics 42 Literaturangaben Green-Funktion (DE-588)4158123-4 gnd rswk-swf Green-Funktion (DE-588)4158123-4 s DE-604 Melnikov, Max Y. Verfasser aut Erscheint auch als Online-Ausgabe 978-3-11-025339-9 De Gruyter studies in mathematics 42 (DE-604)BV000005407 42 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3871260&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024952379&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Melʹnykov, Jurij A. Melnikov, Max Y. Green's functions construction and applications De Gruyter studies in mathematics Green-Funktion (DE-588)4158123-4 gnd
subject_GND	(DE-588)4158123-4
title	Green's functions construction and applications
title_auth	Green's functions construction and applications
title_exact_search	Green's functions construction and applications
title_full	Green's functions construction and applications Yuri A. Melnikov ; Max Y. Melnikov
title_fullStr	Green's functions construction and applications Yuri A. Melnikov ; Max Y. Melnikov
title_full_unstemmed	Green's functions construction and applications Yuri A. Melnikov ; Max Y. Melnikov
title_short	Green's functions
title_sort	green s functions construction and applications
title_sub	construction and applications
topic	Green-Funktion (DE-588)4158123-4 gnd
topic_facet	Green-Funktion
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3871260&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024952379&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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