Advertisement

Finite Difference Methods for Hyperbolic PDEs

  • David F. GriffithsEmail author
  • John W. Dold
  • David J. Silvester
Chapter
  • 4.9k Downloads
Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Abstract

This self-contained chapter focuses on finite difference approximation of hyperbolic boundary value problems. A number of explicit and implicit time-stepping schemes are introduced and their stability, dissipation and dispersion is analysed. State-of-the-art schemes for hyperbolic PDEs that involve flux limiters are discussed at the end of the chapter.

Keywords

Hyperbolic PDEs Hyperbolic Boundary Value Problems Local Truncation Error Flux-limited Scheme Courant Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • David F. Griffiths
    • 1
    Email author
  • John W. Dold
    • 2
  • David J. Silvester
    • 2
  1. 1.University of DundeeFifeUK
  2. 2.School of MathematicsThe University of ManchesterManchesterUK

Personalised recommendations