Abstract
This chapter is devoted to the approximation of unsteady, scalar, first-order PDEs. We focus on the so-called method of lines in which the evolution problem is first semidiscretized in space yielding a system of coupled ordinary differen- tial equations (ODEs) which is then discretized in time.
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© 2011 Springer-Verlag Berlin Heidelberg
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Di Pietro, D.A., Ern, A. (2011). Unsteady First-Order PDEs. In: Mathematical Aspects of Discontinuous Galerkin Methods. Mathématiques et Applications, vol 69. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22980-0_3
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DOI: https://doi.org/10.1007/978-3-642-22980-0_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22979-4
Online ISBN: 978-3-642-22980-0
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