Inmaculada Higueras

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Over the last few years a great effort has been made to develop monotone high order explicit Runge–Kutta methods by means of their Shu–Osher representations. In this context, the stepsize restriction to obtain numerical monotonicity is normally computed using the optimal representation. In this paper we extend the Shu–Osher representations for any(More)
A generalised urn model is presented in this paper. The urn contains L different types of balls and its replacement policy depends on both an urn function and a random environment. We consider the Ldimensional stochastic process {Xn} that represents the proportion of balls of each type in the urn after each replacement. This process can be expressed as a(More)