Abstract
In this chapter we deal with time-dependent problems of hyperbolic type. For their origin and 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 Chapter 14, the extension to nonlinear problems in Chapter 15.
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© 2014 Springer-Verlag Italia
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Quarteroni, A. (2014). Finite differences for hyperbolic equations. In: Numerical Models for Differential Problems. MS&A - Modeling, Simulation and Applications, vol 8. Springer, Milano. https://doi.org/10.1007/978-88-470-5522-3_13
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DOI: https://doi.org/10.1007/978-88-470-5522-3_13
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-5521-6
Online ISBN: 978-88-470-5522-3
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