论文信息 - Stable Runge–Kutta–Nyström methods for dissipative stiff problems

Stable Runge–Kutta–Nyström methods for dissipative stiff problems

The definition of stability for Runge–Kutta–Nyström methods applied to stiff second-order in time problems has been recently revised, proving that it is necessary to add a new condition on the coefficients in order to guarantee the stability. In this paper, we study the case of second-order in time problems in the nonconservative case. For this, we construct an $R$-stable Runge–Kutta–Nyström method with two stages satisfying this condition of stability and we show numerically the advantages of this new method.

Isaías Alonso-Mallo | B. Cano | M. J. Moreta | I. Alonso-Mallo | B. Cano

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