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Numerical approximation of hyperbolic systems of conservation laws


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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.

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.





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Product specificaties:

Taal: en

Bindwijze: Hardcover

Oorspronkelijke releasedatum: 29 augustus 2021

Aantal pagina's: 840

Illustraties: Met illustraties

Hoofdauteur: Edwige Godlewski

Tweede Auteur: Pierre-Arnaud Raviart

Co Auteur: Pierre-Arnaud Raviart

Hoofduitgeverij: Springer-Verlag New York Inc.

Editie: 2

Product breedte: 155 mm

Product lengte: 235 mm

Studieboek: Ja

Verpakking breedte: 155 mm

Verpakking hoogte: 235 mm

Verpakking lengte: 235 mm

Verpakkingsgewicht: 1442 g

EAN: 9781071613429