Hyperbolic Problems: Theory, Numerics, Applications

Gerald Warnecke

ISBN 10: 3764367105 / ISBN 13: 9783764367107

Published by Birkhäuser Basel, Birkhäuser Basel Jan 2002, 2002

About this Item

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 488 pp. Englisch.

Seller Inventory # 9783764367107

Bibliographic Details

• Title: Hyperbolic Problems: Theory, Numerics, Applications
• Publisher: Birkhäuser Basel, Birkhäuser Basel Jan 2002
• Publication Date: 2002
• Language: English
• ISBN 10: 3764367105
• ISBN 13: 9783764367107
• Binding: Buch
• Condition: Neu

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 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.

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.