On the order of deferred correction

Authors:
Anders C. Hansen;John Strain
Affiliations:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, United Kingdom;Department of Mathematics, University of California, Berkeley, United States
Venue:
Applied Numerical Mathematics
Year:
2011

Citing 2
Cited 1

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems

Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics

Journal of Computational Physics

High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes

Journal of Scientific Computing

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Abstract

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.