Hyperbolic Problems: Theory, Numerics, Applications
Subtitle: Eighth International Conference in Magdeburg, February/March 2000 Volume II
By: edited by Heinrich Freistühler, Gerald Warnecke
Contributors: Warnecke, Gerald
Series: International Series of Numerical Mathematics -- 141; International series of numerical mathematics -- 141.
Publisher: Birkhäuser Basel
Published: 2001
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 471
ISBN-13: 9783034883726
Subjects: Mathematics; Differential equations, partial
Description: Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. The mathematical theory of hyperbolic equations has recently made considerable progress. Accurate and efficient numerical schemes for computation have been and are being further developed. This two-volume set of conference proceedings contains about 100 refereed and carefully selected papers. The books are intended for researchers and graduate students in mathematics, science and engineering interested in the most recent results in theory and practice of hyperbolic problems. Applications touched in these proceedings concern one-phase and multiphase fluid flow, phase transitions, shallow water dynamics, elasticity, extended thermodynamics, electromagnetism, classical and relativistic magnetohydrodynamics, cosmology. Contributions to the abstract theory of hyperbolic systems deal with viscous and relaxation approximations, front tracking and wellposedness, stability of shock profiles and multi-shock patterns, traveling fronts for transport equations. Numerically oriented articles study finite difference, finite volume, and finite element schemes, adaptive, multiresolution, and artificial dissipation methods.