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| Author | : Eliezer Guz |
| Publisher | : |
| Total Pages | : 99 |
| Release | : 2011 |
| Genre | : Differential equations, Hyperbolic |
| ISBN | : |
| Author | : Alan Jeffrey |
| Publisher | : Pitman Publishing |
| Total Pages | : 250 |
| Release | : 1976 |
| Genre | : Mathematics |
| ISBN | : |
"The solution to quasilinear first order hyperbolic systems of equations may be interpretated in terms of waves, which belong to a certain function class and propagate in some suitable space, the work all has a common feature the fact that it adds to the understanding of what may be called nonlinear wave propagation" - preface.
| Author | : Constantine M. Dafermos |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 710 |
| Release | : 2009-12-12 |
| Genre | : Mathematics |
| ISBN | : 3642040489 |
The 3rd edition is thoroughly revised, applications are substantially enriched, it includes a new account of the early history of the subject (from 1800 to 1957) and a new chapter recounting the recent solution of open problems of long standing in classical aerodynamics. The bibliography comprises now over fifteen hundred titles. From the reviews: "The author is known as one of the leading experts in the field. His masterly written book is, surely, the most complete exposition in the subject of conservations laws." --Zentralblatt MATH
| Author | : Andreas Meister |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 329 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3322802272 |
The book gives an introduction to the fundamental properties of hyperbolic partial differential equations und their appearance in the mathematical modelling of various problems from practice. It shows in an unique manner concepts for the numerical treatment of such equations starting from basic algorithms up actual research topics in this area. The numerical methods discussed are central and upwind schemes for structured and unstructured grids based on ENO and WENO reconstructions, pressure correction schemes like SIMPLE and PISO as well as asymptotic-induced algorithms for low-Mach number flows.
| Author | : Randall J. LeVeque |
| Publisher | : |
| Total Pages | : 30 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
| Author | : |
| Publisher | : |
| Total Pages | : 5 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
A Discontinuous Galerkin method is applied to hyperbolic systems that contain stiff relaxation terms. We demonstrate that when the relaxation time is unresolved, the method is accurate in the sense that it accurately represents the system's Chapman-Enskog approximation. Results are presented for the hyperbolic heat equation and coupled radiation-hydrodynamics.
| Author | : Vishnu D. Sharma |
| Publisher | : CRC Press |
| Total Pages | : 284 |
| Release | : 2010-04-29 |
| Genre | : Mathematics |
| ISBN | : 1439836914 |
Filled with practical examples, Quasilinear Hyperbolic Systems, Compressible Flows, and Waves presents a self-contained discussion of quasilinear hyperbolic equations and systems with applications. It emphasizes nonlinear theory and introduces some of the most active research in the field.After linking continuum mechanics and quasilinear partial di
| Author | : Tatsien Li |
| Publisher | : World Scientific |
| Total Pages | : 464 |
| Release | : 2010-09-21 |
| Genre | : Mathematics |
| ISBN | : 981446404X |
This volume is composed of two parts: Mathematical and Numerical Analysis for Strongly Nonlinear Plasma Models and Exact Controllability and Observability for Quasilinear Hyperbolic Systems and Applications. It presents recent progress and results obtained in the domains related to both subjects without attaching much importance to the details of proofs but rather to difficulties encountered, to open problems and possible ways to be exploited. It will be very useful for promoting further study on some important problems in the future.
| Author | : Jeffrey Alan Hittinger |
| Publisher | : |
| Total Pages | : 810 |
| Release | : 2000 |
| Genre | : |
| ISBN | : |
| Author | : Heinrich Freistuhler |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 1998-12-30 |
| Genre | : Mathematics |
| ISBN | : 9780849306440 |
Systems of partial differential equations reflecting conservation laws hold significant relevance to a variety of theoretical and practical applications, including compressible fluid flow, electromagnetism, elasticity theory, and other areas of continuum mechanics. This field of nonlinear analysis is currently experiencing a marked increase in successful research activity. The EU-TMR network "Hyperbolic Systems of Conservation Laws held a summer program offering short courses on the Analysis of Systems of Conservation Laws. This book contains five of the self-contained short courses presented during this program by experts of international reputation. These courses, which address solutions to hyperbolic systems by the front tracking method, non-strictly hyperbolic conservation laws, hyperbolic-elliptic coupled systems, hyperbolic relaxation problems, the stability of nonlinear waves in viscous media and numerics, and more, represent the state of the art of most central aspects of the field.
