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Numerical Approximation of Hyperbolic Systems of Conservation Laws

Numerical Approximation of Hyperbolic Systems of Conservation Laws Mathematics

Numerical Approximation of Hyperbolic Systems of Conservation Laws

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Description
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.
Product details
Edition:
2
Number of Pages:
856
Release Date:
2021-08-29
Publication Date:
2021-08-29
Publisher:
Springer
Languages:
Original: English
ISBN10:
1071613421
ISBN13:
9781071613429
GPSR Manufacturer Reference:
Weight:
1431 g
Height:
160 cm
Width:
241 cm
Thickness:
51 cm
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