Hyperbolic Problems: Theory, Numerics, Applications: Eighth International Conference in Magdeburg, February/March 2000 Volume II: 141 (International Series of Numerical Mathematics, 141) - Hardcover

Hardcover

ISBN 10: 3764367105 ISBN 13: 9783764367107

Publisher: Birkhauser Verlag AG, 2002

Synopsis

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 made considerable progress and accurate and efficient numerical schemes for computation have been, and are being, further developed. This volume is part of a two-volume set of conference proceedings containing about 100 refereed and carefully selected papers on hyperbolic problems. Applications covered include: one-phase and multiphase fluid flow; phase transitions; shallow-water dynamics; elasticity; extended thermodynamics; electromagnetism; classical and relativistic magnetohydrodynamics; and 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, and travelling fronts for transport equations. Numerically oriented articles study finite difference, finite volume and finite element schemes, adaptive, multiresolution and artificial dissipation methods. The book is intended for researchers and graduate students in mathematics, science and engineering.

About this title

Synopsis

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 made considerable progress and accurate and efficient numerical schemes for computation have been, and are being, further developed. This volume is part of a two-volume set of conference proceedings containing about 100 refereed and carefully selected papers on hyperbolic problems. Applications covered include: one-phase and multiphase fluid flow; phase transitions; shallow-water dynamics; elasticity; extended thermodynamics; electromagnetism; classical and relativistic magnetohydrodynamics; and 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, and travelling fronts for transport equations. Numerically oriented articles study finite difference, finite volume and finite element schemes, adaptive, multiresolution and artificial dissipation methods.

The book is intended for researchers and graduate students in mathematics, science and engineering.

Edition details

• Publisher: Birkhauser Verlag AG
• Publication date: 2002
• Language: English
• ISBN 10: 3764367105
• ISBN 13: 9783764367107
• Binding: Hardcover
• Number of pages: 484
• Editor: Freistühler Heinrich, Warnecke Gerald