Finite differences for hyperbolic equations

Part of the MS&A book series (MS&A, volume 2)


In this chapter, we will deal with time-dependent problems of hyperbolic type. For their derivation and for an in-depth analysis see e.g. [Sal08], Chap. 4. We will limit ourselves to considering the numerical approximation using the finite difference method, which was historically the first one to be applied to this type of equations. To introduce in a simple way the basic concepts of the theory, most of our presentation will concern problems depending on a single space variable. Finite element approximations will be addressed in Chap. 13, the extension to nonlinear problems in Chap. 14.


Numerical Scheme Hyperbolic Equation Upwind Scheme Euler Scheme Hyperbolic Problem 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Italia, Milan 2009

Personalised recommendations