Comments on High-order Integrators Embedded within Integral Deferred Correction Methods

@inproceedings{Christlieb2008CommentsOH,
  title={Comments on High-order Integrators Embedded within Integral Deferred Correction Methods},
  author={Andrew J. Christlieb and Benjamin K. C. Ong and Jing-Mei Qiu},
  year={2008}
}
Spectral deferred correction (SDC) methods for solving ordinary differential equations (ODEs) were introduced by Dutt, Greengard and Rokhlin, [3]. In this paper, we study the properties of these integral deferred correction methods, constructed using high order integrators in the prediction and correction loops, and various distributions of quadrature nodes. The smoothness of the error vector associated with a method, is a key indicator of the order of convergence that can be expected from a… CONTINUE READING
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