A. Durán

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In this paper we study, from a numerical point of view, some aspects of stability of solitary-wave solutions of the Bona–Smith systems of equations. These systems are a family of Boussinesq-type equations and were originally proposed for modelling the two-way propagation of one-dimensional long waves of small amplitude in an open channel of water of(More)
In this paper we deal with several issues concerning variable-stepsize linear multistep methods. First, we prove their stability when their fixed-stepsize counterparts are stable and under mild conditions on the step-sizes and the variable coefficients. Then we prove asymptotic expansions on the considered tolerance for the global error committed. Using(More)
Some previous works show that symmetric fixed-and variable-stepsize linear multistep methods for second-order systems which do not have any parasitic root in their first characteristic polynomial give rise to a slow error growth with time when integrating reversible systems. In this paper, we give a technique to construct variable-stepsize symmetric methods(More)
Intestinal pathologies due to ovarian cyst are observed rarely. Although a limited number of cases in neonatal and adolescent periods have been observed, no adult case has been reported in the literature. Two mechanisms are involved in intestinal complications due to ovarian cysts: torsion due to adhesion or compression of giant ovarian mass with a diameter(More)