Computing qualitatively correct approximations of balance laws : exponential-fit, well-balanced and asymptotic-preserving / Laurent Gosse.
Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering h...
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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Milan :
Springer,
[2013]
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| Series: | SIMAI Springer series ;
2. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation property is generally lost when considering hyperbolic systems of conservation laws, or simply inhomogeneous scalar balance laws involving accretive or space-dependent source terms, because of complex wave interactions. An overall weaker dissipation can reveal intrinsic numerical weaknesses through specific nonlinear mechanisms: Hugoniot curve. |
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| Physical Description: | 1 online resource (xix, 340 pages) : illustrations (some colour). |
| Format: | Mode of access: World Wide Web. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 8847028922 9788847028920 |
| ISSN: | 2280-840X ; |