Front tracking for hyperbolic conservation laws:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2007
|
| Edition: | 2., corr. print. |
| Series: | Applied mathematical sciences
152 |
| Subjects: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016314734&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XI, 363 S. graph. Darst. |
| ISBN: | 3540432892 9783540432890 |
Staff View
MARC
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| 245 | 1 | 0 | |a Front tracking for hyperbolic conservation laws |c Helge Holden ; Nils Henrik Risebro |
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| 264 | 1 | |a New York [u.a.] |b Springer |c 2007 | |
| 300 | |a XI, 363 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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Record in the Search Index
| _version_ | 1819266867391365120 |
|---|---|
| adam_text | Contents
Preface
vii
1
Introduction
1
1.1
Notes
............................. 18
2
Scalar
Conservation
Laws
23
2.1
Entropy Conditions
..................... 24
2.2
The Riemann Problem
................... 30
2.3
Front Tracking
........................ 36
2.4
Existence and Uniqueness
................. 44
2.5
Notes
............................. 56
3
A Short Course in Difference Methods
63
3.1
Conservative Methods
................... 63
3.2
Error Estimates
....................... 81
3.3
A Priori Error Estimates
.................. 92
3.4
Measure-Valued Solutions
................. 99
3.5
Notes
............................. 112
4
Multidimensional Scalar Conservation Laws
117
4.1
Dimensional Splitting Methods
.............. 117
4.2
Dimensional Splitting and Front Tracking
........ 126
4.3
Convergence Rates
..................... 134
4.4
Operator Splitting: Diffusion
................ 146
xii Contents
4.5 Operator Splitting:
Source
................. 153
4.6 Notes............................. 157
5 The Riemann Problem
for
Systems 163
5.1
Hvperbolicity and Some Examples.............
164
5.2
Rarefaction Waves
...................... 168
5.3
The Hugoniot Locus: The Shock Curves
......... 174
5.4
The Entropy Condition
................... 180
5.5
The Solution of the Riemann Problem
.......... 188
5.6
Notes
............................. 200
6
Existence of Solutions of the Cauchy Problem
205
6.1
Front Tracking for Systems
................. 206
6.2
Convergence
......................... 218
6.3
Notes
............................. 229
7
Well-Posedness of the Cauchy Problem
233
7.1
Stability
........................... 238
7.2
Uniqueness
.......................... 265
7.3
Notos
............................. 285
A Total Variation, Compactness, etc.
287
A.I Notes
............................. 298
8
The Method of Vanishing Viscosity
299
B.I Notes
............................. 312
С
Answers and Hints
315
References
349
Index
359
|
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| author_GND | (DE-588)111693667 |
| author_facet | Holden, Helge 1956- |
| author_role | aut |
| author_sort | Holden, Helge 1956- |
| author_variant | h h hh |
| building | Verbundindex |
| bvnumber | BV023112158 |
| classification_rvk | SK 920 |
| ctrlnum | (OCoLC)587701443 (DE-599)BVBBV023112158 |
| discipline | Mathematik |
| edition | 2., corr. print. |
| format | Book |
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| id | DE-604.BV023112158 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T13:08:55Z |
| institution | BVB |
| isbn | 3540432892 9783540432890 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016314734 |
| oclc_num | 587701443 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-706 |
| owner_facet | DE-355 DE-BY-UBR DE-706 |
| physical | XI, 363 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spellingShingle | Holden, Helge 1956- Front tracking for hyperbolic conservation laws Applied mathematical sciences Numerisches Verfahren (DE-588)4128130-5 gnd Hyperbolisches System (DE-588)4191897-6 gnd Erhaltungssatz (DE-588)4131214-4 gnd |
| subject_GND | (DE-588)4128130-5 (DE-588)4191897-6 (DE-588)4131214-4 |
| 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 | Numerisches Verfahren (DE-588)4128130-5 gnd Hyperbolisches System (DE-588)4191897-6 gnd Erhaltungssatz (DE-588)4131214-4 gnd |
| topic_facet | Numerisches Verfahren Hyperbolisches System Erhaltungssatz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016314734&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
| work_keys_str_mv | AT holdenhelge fronttrackingforhyperbolicconservationlaws AT risebronilshenrik fronttrackingforhyperbolicconservationlaws |