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I have just read "Accelerating the convergence of spectral deferred correction methods". The link is here: http://www.unc.edu/~junjia/papers/sdcgmres.pdf‎.

But I wonder how to understand deferred correction method. Can you give me a description of this method? Or any other papers or books to read to understand this method?

Thanks in advance.

PS: I may want to add a parallel-computing tag because I think PFASST has something to do with this.

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The original paper on SDC is "Spectral deferred correction methods for ordinary differential equations" by Dutt, Greengard, and Rokhlin. There are few papers by M Minion (see his old research page) that explain SDC as well. Note that these methods belong to a larger class of defect/deferred correction strategies -- lots of literature out there, please see references in the above. Finally, SDC methods stand on their own apart from PFASST, although they are a fundamental piece of the PFASST algorithm.

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