2-stage explicit total variation diminishing preserving Runge-Kutta methods
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Abstract:
In this paper, we investigate the total variation diminishing property for a class of 2-stage explicit Rung-Kutta methods of order two (RK2) when applied to the numerical solution of special nonlinear initial value problems (IVPs) for (ODEs). Schemes preserving the essential physical property of diminishing total variation are of great importance in practice. Such schemes are free of spurious oscillations around discontinuities.
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Journal title
volume 1 issue 1
pages 30- 38
publication date 2013-12-20
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