TY  - BOOK
AU  - Holden,Helge
AU  - Risebro,Nils Henrik
ED  - SpringerLink (Online service)
TI  - Front Tracking for Hyperbolic Conservation Laws
T2  - Applied Mathematical Sciences,
SN  - 9783662475072
AV  - T57-57.97 
U1  - 519 23
PY  - 2015///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg, Imprint: Springer
KW  - mathematics
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Numerical analysis
KW  - physics
KW  - Mathematics
KW  - Applications of Mathematics
KW  - Numerical Analysis
KW  - Theoretical, Mathematical and Computational Physics
KW  - Appl.Mathematics/Computational Methods of Engineering
N1  - Preface -- 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
N2  - This 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
UR  - http://dx.doi.org/10.1007/978-3-662-47507-2
ER  -