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@INPROCEEDINGS{Speck:171823,
      author       = {Speck, Robert and Ruprecht, Daniel and Krause, Rolf and
                      Emmett, Matthew and Minion, Michael and Winkel, Mathias and
                      Gibbon, Paul},
      title        = {{I}ntegrating an {N}-{B}ody {P}roblem with {SDC} and
                      {PFASST}},
      volume       = {98},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2014-05382},
      isbn         = {978-3-319-05788-0 (print)},
      series       = {Lecture Notes in Computational Science and Engineering},
      pages        = {637 - 645},
      year         = {2014},
      abstract     = {Vortex methods for the Navier–Stokes equations are based
                      on a Lagrangian particle discretization, which reduces the
                      governing equations to a first-order initial value system of
                      ordinary differential equations for the position and
                      vorticity of N particles. In this paper, the accuracy of
                      solving this system by time-serial spectral deferred
                      corrections (SDC) as well as by the time-parallel Parallel
                      Full Approximation Scheme in Space and Time (PFASST) is
                      investigated. PFASST is based on intertwining SDC iterations
                      with differing resolution in a manner similar to the
                      Parareal algorithm and uses a Full Approximation Scheme
                      (FAS) correction to improve the accuracy of coarser SDC
                      iterations. It is demonstrated that SDC and PFASST can
                      generate highly accurate solutions, and the performance in
                      terms of function evaluations required for a certain
                      accuracy is analyzed and compared to a standard
                      Runge–Kutta method.},
      month         = {Jun},
      date          = {2012-06-25},
      organization  = {Domain Decomposition Methods in
                       Science and Engineering XXI, Rennes
                       (France), 25 Jun 2012 - 29 Jun 2012},
      cin          = {JSC},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {411 - Computational Science and Mathematical Methods
                      (POF2-411) / DFG project 450829162 - Raum-Zeit-parallele
                      Simulation multimodale Energiesystemen (450829162)},
      pid          = {G:(DE-HGF)POF2-411 / G:(GEPRIS)450829162},
      typ          = {PUB:(DE-HGF)8},
      UT           = {WOS:000347877900061},
      doi          = {10.1007/978-3-319-05789-7_61},
      url          = {https://juser.fz-juelich.de/record/171823},
}