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

IAVERNARO, Felice;
2012-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/90504
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