000 03135nam a22004935i 4500
001 978-3-642-23911-3
003 DE-He213
005 20140220083813.0
007 cr nn 008mamaa
008 111007s2011 gw | s |||| 0|eng d
020 _a9783642239113
_9978-3-642-23911-3
024 7 _a10.1007/978-3-642-23911-3
_2doi
050 4 _aT57-57.97
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
100 1 _aHolden, Helge.
_eauthor.
245 1 0 _aFront Tracking for Hyperbolic Conservation Laws
_h[electronic resource] /
_cby Helge Holden, Nils H. Risebro.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXII, 361 p. 40 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
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 -- Total Variations, Compactness etc. -- The Method of Vanishing Viscosity -- Answers and Hints -- References -- Index.    .
520 _aHyperbolic 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: "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.
650 0 _aNumerical analysis.
650 0 _aEngineering mathematics.
650 1 4 _aMathematics.
650 2 4 _aApplications of Mathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
700 1 _aRisebro, Nils H.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642239106
830 0 _aApplied Mathematical Sciences,
_x0066-5452 ;
_v152
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-23911-3
912 _aZDB-2-SMA
999 _c108422
_d108422