Conservation Laws
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Conservation Laws
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Author : Benjamin Crowell
language : en
Publisher: Light and Matter
Release Date : 2001
Conservation Laws written by Benjamin Crowell and has been published by Light and Matter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Science categories.
Numerical Methods For Conservation Laws
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Author : LEVEQUE
language : en
Publisher: Birkhäuser
Release Date : 2013-11-11
Numerical Methods For Conservation Laws written by LEVEQUE and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
These notes developed from a course on the numerical solution of conservation laws first taught at the University of Washington in the fall of 1988 and then at ETH during the following spring. The overall emphasis is on studying the mathematical tools that are essential in de veloping, analyzing, and successfully using numerical methods for nonlinear systems of conservation laws, particularly for problems involving shock waves. A reasonable un derstanding of the mathematical structure of these equations and their solutions is first required, and Part I of these notes deals with this theory. Part II deals more directly with numerical methods, again with the emphasis on general tools that are of broad use. I have stressed the underlying ideas used in various classes of methods rather than present ing the most sophisticated methods in great detail. My aim was to provide a sufficient background that students could then approach the current research literature with the necessary tools and understanding. vVithout the wonders of TeX and LaTeX, these notes would never have been put together. The professional-looking results perhaps obscure the fact that these are indeed lecture notes. Some sections have been reworked several times by now, but others are still preliminary. I can only hope that the errors are not too blatant. Moreover, the breadth and depth of coverage was limited by the length of these courses, and some parts are rather sketchy.
A New Numerical Framework For Solving Conservation Laws The Method Of Space Time Conservation Element And Solution Element
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Author : Sin-Chung Chang
language : en
Publisher:
Release Date : 1991
A New Numerical Framework For Solving Conservation Laws The Method Of Space Time Conservation Element And Solution Element written by Sin-Chung Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Conservation laws (Mathematics) categories.
Conservation Laws With Application To Continuous Sedimentation
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Author : Stefan Diehl
language : en
Publisher:
Release Date : 1995
Conservation Laws With Application To Continuous Sedimentation written by Stefan Diehl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Conservation laws (Mathematics) categories.
Analysis Of Systems Of Conservation Laws
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Author : Heinrich Freistuehler
language : en
Publisher:
Release Date : 1998-10
Analysis Of Systems Of Conservation Laws written by Heinrich Freistuehler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10 with categories.
Front Tracking For Hyperbolic Conservation Laws
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Author : Helge Holden
language : en
Publisher: Springer
Release Date : 2015-12-10
Front Tracking For Hyperbolic Conservation Laws written by Helge Holden and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-10 with Mathematics categories.
This is the second edition of a well-received book providing the fundamentals of the theory hyperbolic conservation laws. Several chapters have been rewritten, new material has been added, in particular, a chapter on space dependent flux functions and the detailed solution of the Riemann problem for the Euler equations. Hyperbolic conservation laws are central in the theory of nonlinear partial differential equations and in science and technology. The reader is given a self-contained presentation using front tracking, which is also a numerical method. The multidimensional scalar case and the case of systems on the line are treated in detail. A chapter on finite differences is included. From the reviews of the first edition: "It is already one of the few best digests on this topic. The present book is an excellent compromise between theory and practice. Students will appreciate the lively and accurate style." D. Serre, MathSciNet "I have read the book with great pleasure, and I can recommend it to experts as well as students. It can also be used for reliable and very exciting basis for a one-semester graduate course." S. Noelle, Book review, German Math. Soc. "Making it an ideal first book for the theory of nonlinear partial differential equations...an excellent reference for a graduate course on nonlinear conservation laws." M. Laforest, Comp. Phys. Comm.
Numerical Schemes For Conservation Laws
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Author : Dietmar Kröner
language : en
Publisher: John Wiley & Sons
Release Date : 1997
Numerical Schemes For Conservation Laws written by Dietmar Kröner and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
Systems Of Conservation Laws 1
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Author : Denis Serre
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-27
Systems Of Conservation Laws 1 written by Denis Serre and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-27 with Mathematics categories.
Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws, describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self-contained, with large numbers of exercises and full discussion of all the ideas. This will make it ideal as a text for graduate courses in the area of partial differential equations.
Analysis Of Systems Of Conservation Laws
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Author : Heinrich Freistuhler
language : en
Publisher: CRC Press
Release Date : 1998-12-30
Analysis Of Systems Of Conservation Laws written by Heinrich Freistuhler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-30 with Mathematics categories.
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.
Systems Of Conservation Laws 1
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Author : Denis Serre
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-27
Systems Of Conservation Laws 1 written by Denis Serre and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-27 with Mathematics categories.
Systems of conservation laws arise naturally in physics and chemistry. To understand them and their consequences (shock waves, finite velocity wave propagation) properly in mathematical terms requires, however, knowledge of a broad range of topics. This book sets up the foundations of the modern theory of conservation laws describing the physical models and mathematical methods, leading to the Glimm scheme. Building on this the author then takes the reader to the current state of knowledge in the subject. The maximum principle is considered from the viewpoint of numerical schemes and also in terms of viscous approximation. Small waves are studied using geometrical optics methods. Finally, the initial-boundary problem is considered in depth. Throughout, the presentation is reasonably self contained, with large numbers of exercises and full discussion of all the ideas. This makes it an ideal text for graduate courses in the area of partial differential equations.