Front tracking for hyperbolic conservation laws
Helge Holden (Author), Nils Henrik Risebro (Author)
This book offers a detailed, rigorous, and self-contained presentation of the theory of hyperbolic conservation laws from the basic theory to the forefront of research. It contains details and information about numerical approximation for the Cauchy problem.
Print Book, English, 2007
[Corrected printing] View all formats and editions
Springer, Heidelberg [etc.], 2007
xii, 361 p. ; 24 cm.
9783540432890, 9783642239106, 3540432892, 3642239102
1277370651
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.- Total Variations, Compactness etc..- The Method of Vanishing Viscosity.- Answers and Hints.- References.- Index.