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@INPROCEEDINGS{Baumann:1028863,
      author       = {Baumann, Thomas and Speck, Robert and Lunet, Thibaut and
                      Ruprecht, Daniel and Götschel, Sebastian},
      title        = {{A}daptive {S}tep {S}ize in {SDC} and {W}hat’s {N}ew
                      {W}ith py{SDC}?},
      reportid     = {FZJ-2024-04849},
      year         = {2024},
      abstract     = {We are transferring well-known concepts from embedded
                      Runge-Kutta methods to Spectral Deferred Corrections (SDC)
                      to enable adaptive step size selection.This works by
                      estimating the local error and updating the step size such
                      that a set tolerance is matched.The local error is estimated
                      via a secondary lower-order method and the step size is
                      updated according to this method's order.Taking a converged
                      collocation problem, we can generate a secondary solution by
                      interpolation from all but one collocation node to the
                      remaining node.Because there is no dependence on how the
                      collocation problem was solved, advanced SDC approaches such
                      as inexactness and diagonal preconditioners can be used.We
                      show with experiments in pySDC that such schemes can
                      outperform state-of-the-art diagonally implicit Runge-Kutta
                      methods for partial differential equations in wall-time
                      measurements.},
      month         = {Feb},
      date          = {2024-02-05},
      organization  = {13th Parallel-in-Time Workshop, Bruges
                       (Belgium), 5 Feb 2024 - 9 Feb 2024},
      subtyp        = {After Call},
      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)6},
      doi          = {10.34734/FZJ-2024-04849},
      url          = {https://juser.fz-juelich.de/record/1028863},
}