Front Tracking for Hyperbolic Conservation Laws

Rezensionen / Stimmen

From the reviews:MATHEMATICAL REVIEWS".distinguished in the sense that, although its main scope is front tracking.it addresses a larger audience, being also concerned with numerics and applications.The present book is an excellent compromise between theory and practice. Since it contains a lot of theorems, with full proofs, it is a true piece of mathematical analysis. On the other hand, it displays a lot of details and information about numerical approximation for the Cauchy problem. Thus it will be of interest for a wide audience. Students will appreciate the lively and accurate style, the numerous exercises (55 in all) and the fact that the authors systematically avoid side or exotic topics. As mentioned on the back cover, this text is suitable for graduate courses in PDEs and numerical analysis. Since most advanced analytical material is given in appendices, it does not require much background.""The book under review provides a self-contained, thorough, and modern account of the mathematical theory of hyperbolic conservation laws. . gives a detailed treatment of the existence, uniqueness, and stability of solutions to a single conservation law in several space dimensions and to systems in one dimension. This book . is a timely contribution since it summarizes recent and efficient solutions to the question of well-posedness. This book would serve as an excellent reference for a graduate course on nonlinear conservation laws .." (M. Laforest, Computer Physics Communications, Vol. 155, 2003)"The present book is an excellent compromise between theory and practice. Since it contains a lot of theorems, with full proofs, it is a true piece of mathematical analysis. On the other hand, it displays a lot of details and information about numerical approximation for the Cauchy problem. Thus it will be of interest for a wide audience. Students will appreciate the lively and accurate style .. this text is suitable for graduate courses in PDEs and numerical analysis." (Denis Serre, Mathematical Reviews, 2003 e)