Numerical schemes for conservation laws:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Chichester
Wiley [u.a.]
1997
|
| Series: | Advances in numerical mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 508 S. Ill., graph. Darst. |
| ISBN: | 9780471967934 0471967939 3519027208 |
Staff View
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| 100 | 1 | |a Kröner, Dietmar |d 1951- |e Verfasser |0 (DE-588)1107039746 |4 aut | |
| 245 | 1 | 0 | |a Numerical schemes for conservation laws |c Dietmar Kröner |
| 264 | 1 | |a Chichester |b Wiley [u.a.] |c 1997 | |
| 300 | |a VIII, 508 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Lois de conservation (Mathématiques) - Solutions numériques | |
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| 650 | 7 | |a Solutions numériques |2 ram | |
| 650 | 4 | |a Conservation laws (Mathematics) |x Numerical solutions | |
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Record in the Search Index
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| adam_text | Contents
Preface vii
1 Introduction 1
2 Initial value problems for scalar conservation laws
in 1 D 15
2.1 Theoretical background 15
2.2 Finite difference schemes of first order for scalar equations in
one spatial dimension 39
2.3 Convergence of finite difference schemes of first order in 1 D . 53
2.4 Stability and consistency for linear initial value problems ... 87
2.5 Finite difference schemes of higher order for scalar equations
in one spatial dimension 98
2.6 Streamline diffusion method 117
3 Initial value problems for scalar conservation laws
in 2 D 141
3.1 Dimensional splitting schemes for scalar conservation laws in
2 D 141
3.2 Finite volume schemes in 2 D 155
3.3 Convergence of finite volume schemes in 2 D on unstructured
grids 164
3.4 Error estimates for first order schemes 191
3.5 Higher order finite volume schemes for scalar equations ... 212
3.6 Proof of convergence of higher order finite volume schemes for
scalar equations 225
3.7 Essentially non oscillatory schemes 238
vi Contents
3.8 Fluctuation splitting schemes 254
3.9 Adaptivity and local grid alignment: numerical experiments . 258
4 Initial value problems for systems in 1 D 276
4.1 Basic results for systems in 1 D 276
4.2 Chorin s method for solving the Riemann problem
for systems 319
4.3 The basis of Glimm s existence proof for systems in 1 D . . . 325
4.4 Numerical schemes for hyperbolic systems in 1 D 333
4.5 The Osher Solomon scheme 355
5 Initial value problems for systemsof conservation
laws in 2 D 372
5.1 Finite volume methods for systems in several space
dimensions 372
5.2 The discretization matrices for systems in two and three
bla spatial dimesions 384
5.3 Numerical examples for the Euler equations of gas dynamics . 394
6 Initial boundary value problems for conservation laws 422
6.1 Boundary conditions for linear systems 422
6.2 Boundary conditions for nonlinear scalar equations 437
7 Convection dominated problems 456
7.1 Singular perturbation problems for elliptic equations 456
7.2 Discretization of the compressible Navier Stokes equations . . 473
List of figures 479
References 482
Index 503
|
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| discipline | Physik Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:05:49Z |
| institution | BVB |
| isbn | 9780471967934 0471967939 3519027208 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007518813 |
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| physical | VIII, 508 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Wiley [u.a.] |
| record_format | marc |
| series2 | Advances in numerical mathematics |
| spelling | Kröner, Dietmar 1951- Verfasser (DE-588)1107039746 aut Numerical schemes for conservation laws Dietmar Kröner Chichester Wiley [u.a.] 1997 VIII, 508 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advances in numerical mathematics Behoudswetten gtt Hyperbolische differentiaalvergelijkingen gtt Lois de conservation (Mathématiques) - Solutions numériques Lois de conservation (Mathématiques) ram Numerieke methoden gtt Solutions numériques ram Conservation laws (Mathematics) Numerical solutions Kontinuitätsgleichung (DE-588)4165165-0 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Erhaltungssatz (DE-588)4131214-4 s Numerische Mathematik (DE-588)4042805-9 s DE-604 Kontinuitätsgleichung (DE-588)4165165-0 s Numerisches Verfahren (DE-588)4128130-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007518813&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kröner, Dietmar 1951- Numerical schemes for conservation laws Behoudswetten gtt Hyperbolische differentiaalvergelijkingen gtt Lois de conservation (Mathématiques) - Solutions numériques Lois de conservation (Mathématiques) ram Numerieke methoden gtt Solutions numériques ram Conservation laws (Mathematics) Numerical solutions Kontinuitätsgleichung (DE-588)4165165-0 gnd Erhaltungssatz (DE-588)4131214-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4165165-0 (DE-588)4131214-4 (DE-588)4128130-5 (DE-588)4042805-9 |
| title | Numerical schemes for conservation laws |
| title_auth | Numerical schemes for conservation laws |
| title_exact_search | Numerical schemes for conservation laws |
| title_full | Numerical schemes for conservation laws Dietmar Kröner |
| title_fullStr | Numerical schemes for conservation laws Dietmar Kröner |
| title_full_unstemmed | Numerical schemes for conservation laws Dietmar Kröner |
| title_short | Numerical schemes for conservation laws |
| title_sort | numerical schemes for conservation laws |
| topic | Behoudswetten gtt Hyperbolische differentiaalvergelijkingen gtt Lois de conservation (Mathématiques) - Solutions numériques Lois de conservation (Mathématiques) ram Numerieke methoden gtt Solutions numériques ram Conservation laws (Mathematics) Numerical solutions Kontinuitätsgleichung (DE-588)4165165-0 gnd Erhaltungssatz (DE-588)4131214-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Behoudswetten Hyperbolische differentiaalvergelijkingen Lois de conservation (Mathématiques) - Solutions numériques Lois de conservation (Mathématiques) Numerieke methoden Solutions numériques Conservation laws (Mathematics) Numerical solutions Kontinuitätsgleichung Erhaltungssatz Numerisches Verfahren Numerische Mathematik |
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