We introduce a new formulation of Gauss collocation methods for the numerical solution of ordinary differential equations. These formulae may be thought of as Runge-Kutta methods with rank-deficient array and may be specified in order to allow an easy parallel implementation. We show some preliminary results on Gauss methods of order 4, 6 and 8.
Recent advances on the parallelization of Gauss methods / L.Brugnano; F.Iavernaro; T.Susca. - In: AIP CONFERENCE PROCEEDINGS. - ISSN 0094-243X. - ELETTRONICO. - 1479:(2012), pp. 238-241. (Intervento presentato al convegno ICNAAM 2012 tenutosi a Kos (Greece) nel 19-25 settembre 2012) [10.1063/1.4756107].
Recent advances on the parallelization of Gauss methods
BRUGNANO, LUIGI;
2012
Abstract
We introduce a new formulation of Gauss collocation methods for the numerical solution of ordinary differential equations. These formulae may be thought of as Runge-Kutta methods with rank-deficient array and may be specified in order to allow an easy parallel implementation. We show some preliminary results on Gauss methods of order 4, 6 and 8.
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