Description

Book Synopsis
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).

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.

Numerical Schemes for Conservation Laws

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    A Hardback by Dietmar Kröner

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      Publisher: John Wiley & Sons Inc
      Publication Date: 15/01/1997
      ISBN13: 9780471967934, 978-0471967934
      ISBN10: 0471967939
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis
      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).

      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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