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010   $a1-0716-1344-8
024 7 $a10.1007/978-1-0716-1344-3
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035   $a(DE-He213)978-1-0716-1344-3
035   $a(EXLCZ)995600000000003489
100   $a20210828d2021      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNumerical Approximation of Hyperbolic Systems of Conservation Laws /$fby Edwige Godlewski, Pierre-Arnaud Raviart
205   $a2nd ed. 2021.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2021.
215   $a1 online resource (846 pages)
225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v118
311 08$a1-0716-1342-1 
320   $aIncludes bibliographical references and index.
327   $aNonlinear hyperbolic systems in one space dimension -- Gas dynamics and reacting flows -- Finite volume schemes for one-dimensional systems -- The case of multidimensional systems -- An introduction to boundary conditions -- Source terms.
330   $aThis monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.
410  0$aApplied Mathematical Sciences,$x2196-968X ;$v118
606   $aNumerical analysis
606   $aMathematical analysis
606   $aMathematical physics
606   $aNumerical Analysis
606   $aAnalysis
606   $aMathematical Methods in Physics
615  0$aNumerical analysis.
615  0$aMathematical analysis.
615  0$aMathematical physics.
615 14$aNumerical Analysis.
615 24$aAnalysis.
615 24$aMathematical Methods in Physics.
676   $a533.2
700   $aGodlewski$b Edwige$061081
702   $aRaviart$b Pierre-Arnaud$f1939-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910495248403321
996   $aNumerical approximation of hyperbolic systems of conservation laws$9375635
997   $aUNINA