Resumen de On the order of deferred correction

Anders C. Hansen, John Strain

• 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.