This book introduces the fundamental properties of hyperbolic partial differential equations with applications to mathematical modelling. Based on a summer school held at the Technical University of Hamburg-Harburg (Germany), it includes articles from leading experts in mathematics, physics, and engineering. It gives a unique presentation of concepts regarding the numerical treatment of hyperbolic partial differential equations--from basic algorithms through actual research. Numerical methods discussed include central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure corrections methods like SIMPLE and PISO, as well as asymptotic-induced algorithms for low Mach number flows.

This book is another top selection available through the AMS for the renowned publisher, Vieweg Verlag. It is written for graduate students, mathematicians, physicists, and engineers interested in partial differential equations and related applications.

A publication of Vieweg Verlag. The AMS is exclusive distributor in North America. Vieweg Verlag Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

Readership

Graduate students, mathematicians, physicists, and engineers interested in partial differential equations and related applications.

Table of Contents

• Hyperbolic conservation laws and industrial applications
• Bibliography
• Central schemes and systems of balance laws
• Bibliography
• Methods on unstructured grids, WENO and ENO recovery techniques
• Bibliography
• Pressure-correction methods for all flow speeds
• Bibliography
• Computational fluid dynamics and aeroacoustics for low Mach number flow
• Bibliography