Finite Difference Methods for Hyperbolic PDEs

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


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.


Hyperbolic PDEs Hyperbolic Boundary Value Problems Local Truncation Error Flux-limited Scheme Courant Number 
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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

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