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Nonlinear hyperbolic problems

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

Abstract

In this chapter, we introduce some examples of nonlinear hyperbolic problems. We will point out some characteristic properties of such problems, the most relevant being their possibility to generate discontinuous solutions also in the case of continuous initial and boundary data. The numerical approximation of these problems is an all but simple task. Here, we will simply limit ourselves to point out how finite difference and finite element schemes can be applied in the case of one-dimensional equations.

Keywords

Weak Solution Burger Equation Discontinuous Galerkin Entropic Solution Numerical Dissipation 
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.

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Copyright information

© Springer-Verlag Italia, Milan 2009

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