In this chapter we introduce some examples of nonlinear hyperbolic problems.We will point out some characteristic properties of such problems, most notably their ability to generate discontinuous solutions also in the case of continuous initial and boundary data. The numerical approximation of these problems is far from easy. 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.
CITATION STYLE
Quarteroni, A. (2017). Nonlinear hyperbolic problems. In Modeling, Simulation and Applications (Vol. 16, pp. 437–455). Springer-Verlag Italia s.r.l. https://doi.org/10.1007/978-3-319-49316-9_16
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