3270 ART--2009-005 spa Gonzalez-Pinto, S. spinto@ull.es Implementation of high-order implicit Runge-Kutta methods 2001 mult. p In this paper, we develop single-Newton iterative schemes for the solution of the stage equations of some implicit Runge-Kutta methods such as the four-stage Gauss and Radau IIA methods and the five-stage Lobatto IIIA formula. We also compare the implementation cost of these schemes with the simplified-Newton iteration and we present some numerical experiments on some well-known stiff test problems to show that the proposed iterations are reliable and efficient. high-order implicit runge-kutta methods Pérez-Rodríguez, S. sperezr@ull.es Montijano, Juan I. monti@unizar.es Computers & Mathematics with Applications Comput. Math. Appl. Vol. 41, num. 7-8 (Abril 2001), pp. 1009-1024 teresa@unizar.es Matemática Aplicada ART ANyA international_article oai:zaguan.unizar.es:3270 driver http://dx.doi.org/10.1016/S0898-1221(00)00335-7 Texto completo