Numerical Schemes for Conservation Laws / Edition 1

Numerical Schemes for Conservation Laws / Edition 1

by Dietmar Kroner, Dietmar Krvner
     
 

ISBN-10: 0471967939

ISBN-13: 9780471967934

Pub. Date: 01/30/1997

Publisher: Wiley

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

Overview

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.

Product Details

ISBN-13:
9780471967934
Publisher:
Wiley
Publication date:
01/30/1997
Series:
Series
Pages:
516
Product dimensions:
7.09(w) x 9.94(h) x 1.43(d)

Table of Contents

Initial Value Problems for Scalar Conservation Laws in 1-D.

Initial Value Problems for Scalar Conservation Laws in 2-D.

Initial Value Problems for Systems in 1-D.

Initial Value Problems for Systems of Conservation Laws in 2-D.

Initial Boundary Value Problems for Conservation Laws.

Convection-Dominated Problems.

List of Figures.

References.

Index.

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