Front tracking for hyperbolic conservation laws:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin ; Heidelberg
Springer
[2015]
|
Ausgabe: | 2nd edition |
Schriftenreihe: | Applied Mathematical Sciences
152 |
Schlagworte: | |
Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online Ressource (XIV, 517 Seiten, 1240 illus. in color) |
ISBN: | 9783662475072 |
ISSN: | 0066-5452 |
DOI: | 10.1007/978-3-662-47507-2 |
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Datensatz im Suchindex
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adam_text | FRONT TRACKING FOR HYPERBOLIC CONSERVATION LAWS
/ HOLDEN, HELGE
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
INTRODUCTION
SCALAR CONSERVATION LAWS
A SHORT COURSE IN DIFFERENCE METHODS
MULTIDIMENSIONAL SCALAR CONSERVATION LAWS
THE RIEMANN PROBLEM FOR SYSTEMS
EXISTENCE OF SOLUTIONS OF THE CAUCHY PROBLEM
WELL-POSEDNESS OF THE CAUCHY PROBLEM
CONSERVATION LAWS WITH DISCONTINUOUS FLUX FUNCTIONS
TOTAL VARIATION, COMPACTNESS ETC
THE METHOD OF VANISHING VISCOSITY
ANSWERS AND HINTS
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
FRONT TRACKING FOR HYPERBOLIC CONSERVATION LAWS
/ HOLDEN, HELGE
: 2015
ABSTRACT / INHALTSTEXT
THIS IS THE SECOND EDITION OF A WELL-RECEIVED BOOK PROVIDING THE
FUNDAMENTALS OF THE THEORY HYPERBOLIC CONSERVATION LAWS. SEVERAL
CHAPTERS HAVE BEEN REWRITTEN, NEW MATERIAL HAS BEEN ADDED, IN
PARTICULAR, A CHAPTER ON SPACE DEPENDENT FLUX FUNCTIONS, AND THE
DETAILED SOLUTION OF THE RIEMANN PROBLEM FOR THE EULER EQUATIONS.
HYPERBOLIC CONSERVATION LAWS ARE CENTRAL IN THE THEORY OF NONLINEAR
PARTIAL DIFFERENTIAL EQUATIONS AND IN SCIENCE AND TECHNOLOGY. THE READER
IS GIVEN A SELF-CONTAINED PRESENTATION USING FRONT TRACKING, WHICH IS
ALSO A NUMERICALMETHOD. THE MULTIDIMENSIONAL SCALAR CASE AND THE CASE
OF SYSTEMS ON THE LINE ARE TREATED IN DETAIL. A CHAPTER ON FINITE
DIFFERENCES IS INCLUDED. FROM THE REVIEWS OF THE FIRST EDITION: IT IS
ALREADY ONE OF THE FEW BEST DIGESTS ON THIS TOPIC. THE PRESENT BOOK IS
AN EXCELLENT COMPROMISE BETWEEN THEORY AND PRACTICE. STUDENTS WILL
APPRECIATE THE LIVELY AND ACCURATE STYLE. D. SERRE, MATHSCINET I
HAVE READ THE BOOK WITH GREAT PLEASURE, AND I CAN RECOMMEND IT TO
EXPERTS AS WELL AS STUDENTS. IT CAN ALSO BE USED FOR RELIABLE AND VERY
EXCITING BASIS FOR A ONE-SEMESTER GRADUATE COURSE. S. NOELLE, BOOK
REVIEW, GERMAN MATH.SOC. MAKING IT AN IDEAL FIRST BOOK FOR THE THEORY
OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS...AN EXCELLENT REFERENCE FOR
A GRADUATE COURSE ON NONLINEAR CONSERVATION LAWS. M. LAFOREST, COMP.
PHYS. COMM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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author | Holden, Helge 1956- Risebro, Nils Henrik |
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series2 | Applied mathematical sciences |
spelling | Holden, Helge 1956- Verfasser (DE-588)111693667 aut Front tracking for hyperbolic conservation laws Helge Holden, Nils Henrik Risebro 2nd edition Berlin ; Heidelberg Springer [2015] © 2015 1 Online Ressource (XIV, 517 Seiten, 1240 illus. in color) txt rdacontent c rdamedia cr rdacarrier Applied mathematical sciences [volume 152] 0066-5452 Mathematics Applied mathematics Engineering mathematics Numerical analysis Physics Applications of Mathematics Numerical Analysis Theoretical, Mathematical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Conservation laws (Mathematics) Differential equations, Hyperbolic Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Hyperbolisches System (DE-588)4191897-6 gnd rswk-swf Graduate hyperbolic partial differential equations conservation laws front tracking Erhaltungssatz (DE-588)4131214-4 s Hyperbolisches System (DE-588)4191897-6 s Numerisches Verfahren (DE-588)4128130-5 s DE-604 Risebro, Nils Henrik Verfasser aut Erscheint auch als Druckausgabe 978-3-662-47506-5 Applied Mathematical Sciences 152 (DE-604)BV040244599 152 https://doi.org/10.1007/978-3-662-47507-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730336&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=028730336&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Holden, Helge 1956- Risebro, Nils Henrik Front tracking for hyperbolic conservation laws Applied Mathematical Sciences Mathematics Applied mathematics Engineering mathematics Numerical analysis Physics Applications of Mathematics Numerical Analysis Theoretical, Mathematical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Conservation laws (Mathematics) Differential equations, Hyperbolic Numerisches Verfahren (DE-588)4128130-5 gnd Erhaltungssatz (DE-588)4131214-4 gnd Hyperbolisches System (DE-588)4191897-6 gnd |
subject_GND | (DE-588)4128130-5 (DE-588)4131214-4 (DE-588)4191897-6 |
title | Front tracking for hyperbolic conservation laws |
title_auth | Front tracking for hyperbolic conservation laws |
title_exact_search | Front tracking for hyperbolic conservation laws |
title_full | Front tracking for hyperbolic conservation laws Helge Holden, Nils Henrik Risebro |
title_fullStr | Front tracking for hyperbolic conservation laws Helge Holden, Nils Henrik Risebro |
title_full_unstemmed | Front tracking for hyperbolic conservation laws Helge Holden, Nils Henrik Risebro |
title_short | Front tracking for hyperbolic conservation laws |
title_sort | front tracking for hyperbolic conservation laws |
topic | Mathematics Applied mathematics Engineering mathematics Numerical analysis Physics Applications of Mathematics Numerical Analysis Theoretical, Mathematical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Conservation laws (Mathematics) Differential equations, Hyperbolic Numerisches Verfahren (DE-588)4128130-5 gnd Erhaltungssatz (DE-588)4131214-4 gnd Hyperbolisches System (DE-588)4191897-6 gnd |
topic_facet | Mathematics Applied mathematics Engineering mathematics Numerical analysis Physics Applications of Mathematics Numerical Analysis Theoretical, Mathematical and Computational Physics Appl.Mathematics/Computational Methods of Engineering Mathematik Conservation laws (Mathematics) Differential equations, Hyperbolic Numerisches Verfahren Erhaltungssatz Hyperbolisches System |
url | https://doi.org/10.1007/978-3-662-47507-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028730336&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=028730336&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV040244599 |
work_keys_str_mv | AT holdenhelge fronttrackingforhyperbolicconservationlaws AT risebronilshenrik fronttrackingforhyperbolicconservationlaws |