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@ARTICLE{Speck:155430,
      author       = {Speck, Robert and Ruprecht, Daniel and Emmett, Matthew and
                      Minion, Michael and Bolten, Matthias and Krause, Rolf},
      title        = {{A} multi-level spectral deferred correction method},
      journal      = {BIT},
      volume       = {55},
      number       = {3},
      issn         = {1572-9125},
      address      = {Dordrecht [u.a.]},
      publisher    = {Springer Science + Business Media B.V},
      reportid     = {FZJ-2014-04596},
      pages        = {843-867},
      year         = {2015},
      abstract     = {The spectral deferred correction (SDC) method is an
                      iterative scheme for computing a higher-order collocation
                      solution to an ODE by performing a series of correction
                      sweeps using a low-order timestepping method. This paper
                      examines a variation of SDC for the temporal integration of
                      PDEs called multi-level spectral deferred corrections
                      (MLSDC), where sweeps are performed on a hierarchy of levels
                      and an FAS correction term, as in nonlinear multigrid
                      methods, couples solutions on different levels. Three
                      different strategies to reduce the computational cost of
                      correction sweeps on the coarser levels are examined:
                      reducing the degrees of freedom, reducing the order of the
                      spatial discretization, and reducing the accuracy when
                      solving linear systems arising in implicit temporal
                      integration. Several numerical examples demonstrate the
                      effect of multi-level coarsening on the convergence and cost
                      of SDC integration. In particular, MLSDC can provide
                      significant savings in compute time compared to SDC for a
                      three-dimensional problem.},
      cin          = {JSC},
      ddc          = {070},
      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) / 511 -
                      Computational Science and Mathematical Methods (POF3-511)},
      pid          = {G:(DE-HGF)POF2-411 / G:(GEPRIS)450829162 /
                      G:(DE-HGF)POF3-511},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000361818100011},
      doi          = {10.1007/s10543-014-0517-x},
      url          = {https://juser.fz-juelich.de/record/155430},
}