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008 170213s2015 gw | s |||| 0|eng d
020 _a9783662475072
_9978-3-662-47507-2
024 7 _a10.1007/978-3-662-47507-2
_2doi
035 _ato000561917
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aHolden, Helge.
_eauthor.
_9452268
245 1 0 _aFront Tracking for Hyperbolic Conservation Laws
_helectronic resource
_cby Helge Holden, Nils Henrik Risebro.
250 _a2nd ed. 2015.
260 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2015.
300 _aXIV, 517 p. 1240 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v152
505 0 _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.
520 _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.
650 0 _amathematics.
_9566183
650 0 _aApplied mathematics.
_9460111
650 0 _aEngineering mathematics.
_9303575
650 0 _aNumerical analysis.
_9566288
650 0 _aphysics.
_9566227
650 1 4 _aMathematics.
_9566184
650 2 4 _aApplications of Mathematics.
_9296781
650 2 4 _aNumerical Analysis.
_9566289
650 2 4 _aTheoretical, Mathematical and Computational Physics.
_9410498
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
_9303577
700 1 _aRisebro, Nils Henrik.
_eauthor.
_9469384
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aApplied Mathematical Sciences,
_9303604
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-662-47507-2
912 _aZDB-2-SMA
999 _c416423