Abstract
The construction of difference methods for shock problems is a vast topic, and several books have been written about it. Even more than for linear problems, the computational methods used in practice are dominated by low order ones. In this chapter we shall discuss some basic ideas, and illustrate them by well known low order methods. We shall give particular emphasis on those techniques where generalizations to high order are possible. We shall limit ourselves to first order conservation laws; this is also where the mathematical efforts have been concentrated over the years.
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© 2008 Springer-Verlag Berlin Heidelberg
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(2008). Nonlinear Problems with Shocks. In: High Order Difference Methods for Time Dependent PDE. Springer Series in Computational Mathematics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74993-6_11
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DOI: https://doi.org/10.1007/978-3-540-74993-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74992-9
Online ISBN: 978-3-540-74993-6
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