Item description for Numerical Methods for Conservation Laws by J. leveque Randall...
These notes were developed for a graduate-level course on the theory and numerical solution of nonlinear hyperbolic systems of conservation laws. Part I deals with the basic mathematical theory of the equations: the notion of weak solutions, entropy conditions, and a detailed description of the wave structure of solutions to the Riemann problem. The emphasis is on tools and techniques that are indispensable in developing good numerical methods for discontinuous solutions. Part II is devoted to the development of high resolution shock-capturing methods, including the theory of total variation diminishing (TVD) methods and the use of limiter functions. The book is intended for a wide audience, and will be of use both to numerical analysts and to computational researchers in a variety of applications.
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Est. Packaging Dimensions: Length: 0.5" Width: 6.75" Height: 9.5" Weight: 0.85 lbs.
Release Date Feb 15, 2006
Publisher Birkhäuser Basel
ISBN 3764327235 ISBN13 9783764327231
Availability 0 units.
More About J. leveque Randall
Randall J. Leveque was born in 1955 and has an academic affiliation as follows - University of Washington.
Reviews - What do customers think about Numerical Methods for Conservation Laws?
Not Enough Detail Sep 25, 2007
Good overview, but not enough information if you are actually trying to solve real problems.
Good book Jan 13, 2007
this is a discrete book, but i expect more especially in the part of the stability and convergence of numerical methods. However i found a very good explanation of the mathematical concepts that are beyond the cold formulas. Thi is a text for undergraduate students, non a text for reserchers.
Quintessential Volume on Num. Methods for Cons. Laws Dec 1, 2004
This book is organized into two main parts, the first of which deals with derivations of the conservation laws from physical principles, and theoretical treatment of such equations. The second part covers in detail the most popular (finite difference) schemes available for solving these PDE's and proofs on convergence. This book is really one I consider _the_ reference for conservation laws, and one I consult as a reference on a frequent basis. Easily accessible even if you are used to dealing mainly with elliptic systems.
Highly understandable, clear and concise Mar 27, 2003
Must read for those who are dealing with hyperbolic or nearly-hyperbolic systems. Based on mesh based methods so the numerical model obtained can be used for control and optimization purpose easily.( that is my feeling)