Ader Schemes for Scalar Hyperbolic Conservation Laws in Three Space Dimensions
نویسنده
چکیده
In this paper we develop non-linear ADER schemes for time-dependent scalar linear and non-linear conservation laws in one, two and three space dimensions. Numerical results of schemes of up to fifth order of accuracy in both time and space illustrate that the designed order of accuracy is achieved in all space dimensions for a fixed Courant number and essentially non-oscillatory results are obtained for solutions with discontinuities.
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