Front Tracking for Hyperbolic Conservation Laws, 2002 Applied Mathematical Sciences Series, Vol. 152
Auteurs : Holden Helge, Risebro Nils H.
This book presents the theory of hyperbolic conservation laws from basic theory to the forefront of research.
The text treats the theory of scalar conservation laws in one dimension in detail, showing the stability of the Cauchy problem using front tracking. The extension to multidimensional scalar conservation laws is obtained using dimensional splitting. The book includes detailed discussion of the recent proof of well-posedness of the Cauchy problem for one-dimensional hyperbolic conservation laws, and a chapter on traditional finite difference methods for hyperbolic conservation laws with error estimates and a section on measure valued solutions.
Only book on front tracking which covers these new results
Very well suited for graduate students
Includes supplementary material: sn.pub/extras
Date de parution : 08-2014
Ouvrage de 264 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 52,74 €
Ajouter au panierDate de parution : 07-2002
Ouvrage de 362 p.
16x24 cm
Mots-clés :
YellowSale2006; conservation laws; front tracking; hyperbolic partial differential equations; Cauchy problem; conservation law; convergence; differential equation; hyperbolic partial differential equation; Mathematica; measure; nonlinear partial differential equation; numerical method; partial differential equation; solution; stability