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@ARTICLE{Bolten:834375,
      author       = {Bolten, Matthias and Moser, Dieter and Speck, Robert},
      title        = {{A} multigrid perspective on the parallel full
                      approximation scheme in space and time},
      journal      = {Numerical linear algebra with applications},
      volume       = {24},
      number       = {6},
      issn         = {1070-5325},
      address      = {New York, NY [u.a.]},
      publisher    = {Wiley},
      reportid     = {FZJ-2017-04343},
      pages        = {e2110},
      year         = {2017},
      abstract     = {For the numerical solution of time-dependent partial
                      differential equations, time-parallel methods have recently
                      been shown to provide a promising way to extend prevailing
                      strong-scaling limits of numerical codes. One of the most
                      complex methods in this field is the “Parallel Full
                      Approximation Scheme in Space and Time” (PFASST). PFASST
                      already shows promising results for many use cases and
                      benchmarks. However, a solid and reliable mathematical
                      foundation is still missing. We show that, under certain
                      assumptions, the PFASST algorithm can be conveniently and
                      rigorously described as a multigrid-in-time method.
                      Following this equivalence, first steps towards a
                      comprehensive analysis of PFASST using blockwise local
                      Fourier analysis are taken. The theoretical results are
                      applied to examples of diffusive and advective type.},
      cin          = {JSC},
      ddc          = {510},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {511 - Computational Science and Mathematical Methods
                      (POF3-511) / DFG project 450829162 - Raum-Zeit-parallele
                      Simulation multimodale Energiesystemen (450829162)},
      pid          = {G:(DE-HGF)POF3-511 / G:(GEPRIS)450829162},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000417584700007},
      doi          = {10.1002/nla.2110},
      url          = {https://juser.fz-juelich.de/record/834375},
}