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@INPROCEEDINGS{Baumann:1041740,
      author       = {Baumann, Thomas},
      title        = {{S}pectral {D}eferred {C}orrection},
      reportid     = {FZJ-2025-02416},
      year         = {2025},
      abstract     = {Spectral deferred correction (SDC) is a time integration
                      method that is closely related to Runge-Kutta methods (RKM).
                      In SDC, fully implicit RKM are solved iteratively, using
                      similar computations as required to compute the stages in
                      RKM. While explicit SDC often cannot compete with explicit
                      RKM, SDC has been shown to perform very well for stiff PDEs.
                      One major advantage of SDC is the flexibility afforded by
                      using a low-order solver inside an iterative method for
                      obtaining high-order solutions. This makes it simple to
                      construct high-order splitting methods, for instance. SDC is
                      also popular in the parallel-in-time community. Efficient
                      small-scale parallelism within the method has recently been
                      achieved and SDC is also employed within various
                      parallel-in-time algorithms. This talk will encompass an
                      introduction to SDC, some recent developments, numerical
                      experiments where time-parallel SDC is preferable to RKM,
                      and an advertisement for the prototyping library pySDC,
                      which allows to rapidly explore all things SDC.},
      organization  = {Numerical algorithms seminar at
                       University of Exeter, Exeter (UK)},
      subtyp        = {Invited},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs)
                      and Research Groups (POF4-511) / TIME-X - TIME
                      parallelisation: for eXascale computing and beyond (955701)},
      pid          = {G:(DE-HGF)POF4-5112 / G:(EU-Grant)955701},
      typ          = {PUB:(DE-HGF)31},
      doi          = {10.34734/FZJ-2025-02416},
      url          = {https://juser.fz-juelich.de/record/1041740},
}