This book introduces the general aspects of hyperbolic conservation laws and their numerical approximation using some of the most modern tools: spectral methods, unstructured meshes and λ-formulation. The applications of these methods are found in some significant examples such as the Euler equations. This book, a collection of articles by the best authors in the field, exposes the reader to the frontier of the research and many open problems.Contents:Topics in Spectral Methods for Hyperbolic Equations (C Canuto)Steady Euler Simulations Using Unstructured Meshes (A Dervieux)Hyperbolic Conservation Laws and Related Topics (T-P Liu)A Technique for Integrating Two-Dimensional Euler Equations (G Moretti)Readership: Mathematicians.Key Features:22 pages in colorcontributions by renowned researchers in the fields