Numerical Schemes for Conservation Laws (Hardcover)

Wiley-Teubner Series Advances in Numerical Mathematics Editors Hans Georg Bock Mitchell Luskin Wolfgang Hackbusch Rolf Rannacher Numerical Schemes for Conservation Laws Dietmar KrAner Albert-Ludwigs-UniversitAt, Freiburg, Germany Many problems of fluid mechanics, in particular in gas-dynamics, have led to the study of non-linear hyperbolic conservation laws. Since the solutions of conservation laws may be discontinuous, even for smooth data, special stabilization techniques such as upwinding are necessary. This book systematically studies upwind methods for initial value problems for scalar conservation laws in one-and multidimensions. The mathematical theory of convergence theory and of a priori error estimates is presented in detail for structured grids (finite difference methods) as well as for unstructured grids (finite volume methods). Higher order schemes are also included. In the second part of the book the algorithms for scalar equations are generalized into systems of conservation laws in one- and multidimensions. The most powerful schemes for the discretization of systems are described and numerical examples are presented. In particular, local grid refinement has been taken into account. The initial boundary value problem is also considered for linear systems and nonlinear scalar conservation laws. Since nearly all mathematical details are developed and described in this book, it can be used as an introduction to the theory of upwind methods for conservation laws. Wiley Teubner

General

Imprint:	John Wiley & Sons
Country of origin:	United States
Release date:	1997
First published:	March 1997
Authors:	D. Kroner
Dimensions:	248 x 179 x 34mm (L x W x T)
Format:	Hardcover
Pages:	516
ISBN-13:	978-0-471-96793-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-471-96793-9
Barcode:	9780471967934

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!