Numerical Schemes for Conservations Laws

In this book upwind methods are studied systematically for initial value problems for scalar conservation laws in one- and multidimensions. The mathematical theory for the convergence theory and for a priori error estimation is presented in detail for structured (finite difference methods) as well as for unstructured grids (finite volume methods). Higher order schemes are also included.
In the second part of this book the algorithms for scalar equations are generalized to 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.
For linear systems and nonlinear scalar conservation laws the initial boundary value problem is also considered.

Product details

• Authors: Dietmar Kröner, Dietmar B. Kröner
• Publisher: Vieweg+Teubner
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.1997
• EAN: 9783519027201
• ISBN: 978-3-519-02720-1
• No. of pages: 450
• Weight: 984 g
• Series: Teubner Skripten zur Numerik; Teubner Skripten zur Numerik
• Subject: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering