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Front Tracking for Hyperbolic Conservation Laws
Nils H. Risebro, Helge Holden
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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. "e;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."e; D. Serre, MathSciNet"e;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."e; S. Noelle, Book review, German Math. Soc."e;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."e; M. Laforest, Comp. Phys. Comm.
