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101 0 $aeng
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200 10$aFront Tracking for Hyperbolic Conservation Laws$b[electronic resource] /$fby Helge Holden, Nils Henrik Risebro
205   $a2nd ed. 2015.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2015.
215   $a1 online resource (XIV, 517 p. 1240 illus. in color.)
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v152
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-662-47506-5 
327   $aPreface -- Introduction -- Scalar Conservation Laws -- A Short Course in Difference Methods -- Multidimensional Scalar Conservation Laws -- The Riemann Problem for Systems -- Existence of Solutions of the Cauchy Problem -- Well-Posedness of the Cauchy Problem -- Conservation Laws with Discontinuous Flux Functions -- Total Variation, Compactness etc -- The Method of Vanishing Viscosity -- Answers and Hints -- Index.
330   $aThis is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions, and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet  "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
410  0$aApplied Mathematical Sciences,$x0066-5452 ;$v152
606   $aApplied mathematics
606   $aEngineering mathematics
606   $aNumerical analysis
606   $aMathematical physics
606   $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006
615  0$aApplied mathematics.
615  0$aEngineering mathematics.
615  0$aNumerical analysis.
615  0$aMathematical physics.
615 14$aApplications of Mathematics.
615 24$aNumerical Analysis.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aMathematical and Computational Engineering.
676   $a515.353
700   $aHolden$b Helge$4aut$4http://id.loc.gov/vocabulary/relators/aut$052245
702   $aRisebro$b Nils Henrik$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
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906   $aBOOK
912   $a9910300247603321
996   $aFront Tracking for Hyperbolic Conservation Laws$92525159
997   $aUNINA