ADER–Runge–Kutta Schemes for Conservation Laws in One Space Dimension

G. Russo (), E. F. Toro () and V. A. Titarev ()
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G. Russo: Università di Catania, Department of Mathematics and Computer Science
E. F. Toro: University of Trento, Laboratory of Applied Mathematics
V. A. Titarev: University of Trento

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 929-936 from Springer

Abstract: ADER is a recent Godunov-type approach for constructing arbitrarily highorder finite-volume schemes for hyperbolic conservation laws. The idea was first proposed for the constant coefficient linear advection equation in multiple space dimensions [12]. The extension to nonlinear systems is based on the approximate solution procedure for the so-called derivative Riemann problem [13, 14] for nonlinear hyperbolic systems with reactive source terms. For the resulting schemes see [11, 9, 2] and references therein.

Keywords: Riemann Problem; Stagger Grid; WENO Scheme; Kutta Scheme; Nonlinear Hyperbolic System (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/978-3-540-75712-2_97

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