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Numerical approximation of hyperbolic systems of conservation laws / Edwige Godlewski, Pierre-Arnaud Raviart.

2nd ed.

9781071613443 (electronic bk.)
1071613448 (electronic bk.)
9781071613429
1071613421

New York, NY : Springer, 2021.

English

1 online resource (846 pages)

10.1007/978-1-0716-1344-3 doi

QA930

620.1/074
510 s

This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

Includes bibliographical references and index.

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Description based on print version record.

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 118.

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