Brugnano, Prof. Luigi and Iavernaro, Prof. Felice and Susca, Dott. Tiziana (2012) Recent Advances on the Parallelization of Gauss Methods. Technical Report (2012.07.23, no. 1), Dipartimento di Matematica "Ulisse Dini", Universita' di Firenze.

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.