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Numerical Schemes for Conservation Laws

Name: Numerical Schemes for Conservation Laws
Brand: John Wiley & Sons Inc
SKU: 04895040
Price: 291.59 EUR
Availability: InStock
Author: Dietmar Kroner
ISBN: 9780471967934

Dietmar Kroner

Language

English

Book Hardback

Libristo code: 04895040

Publishers John Wiley & Sons Inc, January 1997

This book systematically studies upwind methods for initial value problems for scalar conservation l... Full description

Libristo code: 04895040

714 b

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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 structure (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 conversation 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.