Adaptive multiscale schemes for conservation laws:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2003
|
| Series: | Lecture notes in computational science and engineering
27 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 163 - 168 |
| Physical Description: | XIV, 181 S. graph. Darst. : 24 cm |
| ISBN: | 3540443258 |
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Record in the Search Index
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| adam_text | SIEGFRIED MIILLER ADAPTIVE MULTISCALE SCHEMES FOR CONSERVATION LAWS WITH
58 FIGURES SPRINGER TABLE OF CONTENTS 1 MODEL PROBLEM AND ITS
DISCRETIZATION 1 1.1 CONSERVATION LAWS 1 1.2 FINITE VOLUME METHODS 6 2
MULTISCALE SETTING 11 2.1 HIERARCHY OF MESHES 11 2.2 MOTIVATION 13 2.3
BOX WAVELET 17 2.3.1 BOX WAVELET ON A CARTESIAN GRID HIERARCHY 17 2.3.2
BOX WAVELET ON AN ARBITRARY NESTED GRID HIERARCHY .. 19 2.4 CHANGE OF
STABLE COMPLETION 22 2.5 BOX WAVELET WITH HIGHER VANISHING MOMENTS 24
2.5.1 DEFINITION AND CONSTRUCTION 24 2.5.2 A UNIVARIATE EXAMPLE 26 2.5.3
A REMARK ON COMPRESSION RATES 29 2.6 MULTISCALE TRANSFORMATION 29 3
LOCALLY REFINED SPACES 33 3.1 ADAPTIVE GRID AND SIGNIFICANT DETAILS 34
3.2 GRADING : 36 3.3 LOCAL MULTISCALE TRANSFORMATION 44 3.4 GRADING
PARAMETER 47 3.5 LOCALLY UNIFORM GRIDS 52 3.6 ALGORITHMS: ENCODING,
THRESHOLDING, GRADING, DECODING .... 55 3.7 CONSERVATION PROPERTY 60 3.8
APPLICATION TO CURVILINEAR GRIDS 62 4 ADAPTIVE FINITE VOLUME SCHEME 73
4.1 CONSTRUCTION 73 4.1.1 STRATEGIES FOR LOCAL FLUX EVALUATION 75 4.1.2
STRATEGIES FOR PREDICTION OF DETAILS 77 4.2 ALGORITHMS: INITIAL DATA,
PREDICTION, FLUXES AND EVOLUTION .. 82 XIV TABLE OF CONTENTS 5 ERROR
ANALYSIS 89 5.1 PERTURBATION ERROR 90 5.2 STABILITY OF APPROXIMATION 93
5.3 RELIABILITY OF PREDICTION 97 6 DATA STRUCTURES AND MEMORY MANAGEMENT
113 6.1 ALGORITHMIC REQUIREMENTS AND DESIGN CRITERIA 113 6.2 HASHING 115
6.3 DATA STRUCTURES 118 7 NUMERICAL EXPERIMENTS 123 7.1 PARAMETER
STUDIES 123 7.1.1 TEST CONFIGURATIONS 124 7.1.2 DISCRETIZATION 126 7.1.3
COMPUTATIONAL COMPLEXITY AND STABILITY 127 7.1.4 HASH PARAMETERS 131 7.2
REAL WORLD APPLICATION 133 7.2.1 CONFIGURATIONS 133 7.2.2 DISCRETIZATION
134 7.2.3 DISCUSSION OF RESULTS 136 A PLOTS OF NUMERICAL EXPERIMENTS 139
B THE CONTEXT OF BIORTHOGONAL WAVELETS 151 B.I GENERAL SETTING 151 B.I.I
MULTISCALE BASIS 152 B.1.2 STABLE COMPLETION 153 B.I.3 MULTISCALE
TRANSFORMATION 154 B.2 BIORTHOGONAL WAVELETS OF THE BOX FUNCTION 157
B.2.1 HAAR WAVELETS 157 B.2.2 BIORTHOGONAL WAVELETS ON THE REAL LINE 158
REFERENCES 163 LIST OF FIGURES 169 LIST OF TABLES 171 NOTATION 173 INDEX
179
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:12:21Z |
| institution | BVB |
| isbn | 3540443258 |
| language | English |
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| physical | XIV, 181 S. graph. Darst. : 24 cm |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | Springer |
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| series | Lecture notes in computational science and engineering |
| series2 | Lecture notes in computational science and engineering |
| spelling | Müller, Siegfried Verfasser aut Adaptive multiscale schemes for conservation laws Siegfried Müller Berlin [u.a.] Springer 2003 XIV, 181 S. graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Lecture notes in computational science and engineering 27 Literaturverz. S. 163 - 168 Conservation laws (Mathematics) Decomposition method Differential equations, Partial Numerical solutions Finite volume method Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Adaptives Verfahren (DE-588)4310560-9 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 s Mehrskalenanalyse (DE-588)4416235-2 s Adaptives Verfahren (DE-588)4310560-9 s DE-604 Lecture notes in computational science and engineering 27 (DE-604)BV011386476 27 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250625&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Müller, Siegfried Adaptive multiscale schemes for conservation laws Lecture notes in computational science and engineering Conservation laws (Mathematics) Decomposition method Differential equations, Partial Numerical solutions Finite volume method Erhaltungssatz (DE-588)4131214-4 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Adaptives Verfahren (DE-588)4310560-9 gnd |
| subject_GND | (DE-588)4131214-4 (DE-588)4416235-2 (DE-588)4310560-9 |
| title | Adaptive multiscale schemes for conservation laws |
| title_auth | Adaptive multiscale schemes for conservation laws |
| title_exact_search | Adaptive multiscale schemes for conservation laws |
| title_full | Adaptive multiscale schemes for conservation laws Siegfried Müller |
| title_fullStr | Adaptive multiscale schemes for conservation laws Siegfried Müller |
| title_full_unstemmed | Adaptive multiscale schemes for conservation laws Siegfried Müller |
| title_short | Adaptive multiscale schemes for conservation laws |
| title_sort | adaptive multiscale schemes for conservation laws |
| topic | Conservation laws (Mathematics) Decomposition method Differential equations, Partial Numerical solutions Finite volume method Erhaltungssatz (DE-588)4131214-4 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Adaptives Verfahren (DE-588)4310560-9 gnd |
| topic_facet | Conservation laws (Mathematics) Decomposition method Differential equations, Partial Numerical solutions Finite volume method Erhaltungssatz Mehrskalenanalyse Adaptives Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010250625&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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