Nonlinear hyperbolic problems
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.
KeywordsWeak Solution Burger Equation Discontinuous Galerkin Entropic Solution Numerical Dissipation
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