Repositorio Zaguan - Universidad de Zaragoza 

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000003270 001__ 3270
000003270 037__ $$aART--2009-005
000003270 041__ $$aspa
000003270 100__ $$aGonzalez-Pinto, S.$$bspinto@ull.es
000003270 245__ $$aImplementation of high-order implicit Runge-Kutta methods 
000003270 260__ $$c2001
000003270 300__ $$amult. p
000003270 520__ $$aIn 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.
000003270 6531_ $$ahigh-order implicit runge-kutta methods 
000003270 700__ $$aPérez-Rodríguez, S.$$bsperezr@ull.es
000003270 700__ $$aMontijano, Juan I.$$bmonti@unizar.es
000003270 773__ $$gVol. 41, num. 7-8 (Abril 2001), pp. 1009-1024 $$pComput. Math. Appl.$$tComputers & Mathematics with Applications$$x
000003270 8560_ $$fteresa@unizar.es
000003270 8564_ $$uhttp://dx.doi.org/10.1016/S0898-1221(00)00335-7$$zTexto completo
000003270 909CO $$ooai:zaguan.unizar.es:3270$$pdriver
000003270 9102_ $$a$$bMatemática Aplicada
000003270 980__ $$aART$$bANyA
000003270 983__ $$ainternational_article
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