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Avoiding the order reduction when solving second-order in time PDEs with Fractional Step Runge–Kutta–Nyström methods

Moreta, M. Jesús; Bujanda Cirauqui, Blanca ; Jorge Ulecia, Juan Carlos (Elsevier, 2016) Artículo / Artikulua

We study some of the main features of Fractional Step Runge–Kutta–Nyström methods when they are used to integrate Initial–Boundary Value Problems of second order in time, in combination with a suitable spatial discretization. ...