On the order of deferred correction

• Autores: Anders C. Hansen, John Strain
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 8, 2011, págs. 961-973
• Idioma: inglés
• DOI: 10.1016/j.apnum.2011.04.001
• Texto completo no disponible (Saber más ...)
• Resumen

  • New deferred correction methods for the numerical solution of initial value problems in ordinary differential equations have recently been introduced by Dutt, Greengard and Rokhlin. A convergence proof is presented for these methods, based on the abstract Stetter�Lindberg�Skeel framework and Spijker-type norms. It is shown that p corrections of an order-r one-step solver yield order-r(p+1) accuracy.