Accelerating the convergence of spectral deferred correction methods

@article{Huang2006AcceleratingTC,
  title={Accelerating the convergence of spectral deferred correction methods},
  author={Jingfang Huang and Jun Jia and Michael L. Minion},
  journal={J. Comput. Physics},
  year={2006},
  volume={214},
  pages={633-656}
}
In the recent paper by Dutt, Greengard and Rokhlin, a variant of deferred or defect correction methods is presented which couples Gaussian quadrature with the Picard integral equation formulation of the initial value ordinary differential equation. The resulting spectral deferred correction (SDC) methods have been shown to possess favorable accuracy and stability properties even for versions with very high order of accuracy. In this paper, we show that for linear problems, the iterations in the… CONTINUE READING

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