Linear integral equations:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
2014
|
Ausgabe: | 3. ed. |
Schriftenreihe: | Applied mathematical sciences
82 |
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource |
ISBN: | 9781461495925 9781461495932 |
DOI: | 10.1007/978-1-4614-9593-2 |
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Datensatz im Suchindex
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adam_text | LINEAR INTEGRAL EQUATIONS
/ KRESS, RAINER
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
NORMED SPACES
BOUNDED AND COMPACT OPERATORS
RIESZ THEORY
DUAL SYSTEMS AND FREDHOLM ALTERNATIVE
REGULARIZATION IN DUAL SYSTEMS
POTENTIAL THEORY
SINGULAR INTEGRAL EQUATIONS
SOBOLEV SPACES
THE HEAT EQUATION
OPERATOR APPROXIMATIONS .-DEGENERATE KERNEL APPROXIMATION
QUADRATURE METHODS
PROJECTION METHODS
ITERATIVE SOLUTION AND STABILITY
EQUATIONS OF THE FIRST KIND
TIKHONOV REGULARIZATION
REGULARIZATION BY DISCRETIZATION
INVERSE BOUNDARY VALUE PROBLEMS
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LINEAR INTEGRAL EQUATIONS
/ KRESS, RAINER
: 2014
ABSTRACT / INHALTSTEXT
THIS BOOK COMBINES THEORY, APPLICATIONS, AND NUMERICAL METHODS, AND
COVERS EACH OF THESE FIELDS WITH THE SAME WEIGHT. IN ORDER TO MAKE THE
BOOK ACCESSIBLE TO MATHEMATICIANS, PHYSICISTS, AND ENGINEERS ALIKE, THE
AUTHOR HAS MADE IT AS SELF-CONTAINED AS POSSIBLE, REQUIRING ONLY A SOLID
FOUNDATION IN DIFFERENTIAL AND INTEGRAL CALCULUS. THE FUNCTIONAL
ANALYSIS WHICH IS NECESSARY FOR AN ADEQUATE TREATMENT OF THE THEORY AND
THE NUMERICAL SOLUTION OF INTEGRAL EQUATIONS IS DEVELOPED WITHIN THE
BOOK ITSELF. PROBLEMS ARE INCLUDED AT THE END OF EACH CHAPTER. FOR
THIS THIRD EDITION IN ORDER TO MAKE THE INTRODUCTION TO THE BASIC
FUNCTIONAL ANALYTIC TOOLS MORE COMPLETE THE HAHN–BANACH EXTENSION
THEOREM AND THE BANACH OPEN MAPPING THEOREM ARE NOW INCLUDED IN THE
TEXT.THE TREATMENT OF BOUNDARY VALUE PROBLEMS IN POTENTIAL THEORY HAS
BEEN EXTENDED BY A MORE COMPLETE DISCUSSION OF INTEGRAL EQUATIONS OF THE
FIRST KIND IN THE CLASSICAL HOLDER SPACE SETTING AND OF BOTH INTEGRAL
EQUATIONS OF THE FIRST AND SECOND KIND IN THE CONTEMPORARY SOBOLEV SPACE
SETTING. IN THE NUMERICAL SOLUTION PART OF THE BOOK, THE AUTHOR INCLUDED
A NEW COLLOCATION METHOD FOR TWO-DIMENSIONAL HYPERSINGULAR BOUNDARY
INTEGRAL EQUATIONS AND A COLLOCATION METHOD FOR THE THREE-DIMENSIONAL
LIPPMANN-SCHWINGER EQUATION.THE FINAL CHAPTER OF THE BOOK ON INVERSE
BOUNDARY VALUE PROBLEMS FOR THE LAPLACE EQUATION HAS BEEN LARGELY
REWRITTEN WITH SPECIAL ATTENTION TO THE TRILOGY OF DECOMPOSITION,
ITERATIVE AND SAMPLING METHODS REVIEWS OF EARLIER EDITIONS: THIS
BOOK IS AN EXCELLENT INTRODUCTORY TEXT FOR STUDENTS, SCIENTISTS, AND
ENGINEERS WHO WANT TO LEARN THE BASIC THEORY OF LINEAR INTEGRAL
EQUATIONS AND THEIR NUMERICAL SOLUTION. (MATH. REVIEWS, 2000) THIS
IS A GOOD INTRODUCTORY TEXT BOOK ON LINEAR INTEGRAL EQUATIONS. IT
CONTAINS ALMOST ALL THE TOPICS NECESSARY FOR A STUDENT. THE PRESENTATION
OF THE SUBJECT MATTER IS LUCID, CLEAR AND IN THE PROPER MODERN FRAMEWORK
WITHOUT BEING TOO ABSTRACT. (ZBMATH, 1999)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Kress, Rainer 1941- |
author_GND | (DE-588)115774416 |
author_facet | Kress, Rainer 1941- |
author_role | aut |
author_sort | Kress, Rainer 1941- |
author_variant | r k rk |
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bvnumber | BV041644609 |
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collection | ZDB-2-SMA |
ctrlnum | (OCoLC)867180949 (DE-599)DNB1045028096 |
discipline | Mathematik |
doi_str_mv | 10.1007/978-1-4614-9593-2 |
edition | 3. ed. |
format | Electronic eBook |
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spelling | Kress, Rainer 1941- Verfasser (DE-588)115774416 aut Linear integral equations Rainer Kress 3. ed. New York, NY [u.a.] Springer 2014 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences 82 Lineare Integralgleichung (DE-588)4114426-0 gnd rswk-swf Lineare Integralgleichung Integralgleichungen Lineare Integralgleichung (DE-588)4114426-0 s DE-604 Applied mathematical sciences 82 (DE-604)BV040244599 82 https://doi.org/10.1007/978-1-4614-9593-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085343&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=027085343&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Kress, Rainer 1941- Linear integral equations Applied mathematical sciences Lineare Integralgleichung (DE-588)4114426-0 gnd |
subject_GND | (DE-588)4114426-0 |
title | Linear integral equations |
title_auth | Linear integral equations |
title_exact_search | Linear integral equations |
title_full | Linear integral equations Rainer Kress |
title_fullStr | Linear integral equations Rainer Kress |
title_full_unstemmed | Linear integral equations Rainer Kress |
title_short | Linear integral equations |
title_sort | linear integral equations |
topic | Lineare Integralgleichung (DE-588)4114426-0 gnd |
topic_facet | Lineare Integralgleichung |
url | https://doi.org/10.1007/978-1-4614-9593-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027085343&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=027085343&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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