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@INPROCEEDINGS{Steiner:185897,
      author       = {Steiner, Johannes and Ruprecht, Daniel and Speck, Robert
                      and Krause, Rolf},
      title        = {{C}onvergence of {P}arareal for the {N}avier-{S}tokes
                      {E}quations {D}epending on the {R}eynolds {N}umber},
      volume       = {103},
      address      = {Cham},
      publisher    = {Springer International Publishing},
      reportid     = {FZJ-2015-00034},
      isbn         = {978-3-319-10704-2 (print)},
      series       = {Lecture Notes in Computational Science and Engineering},
      pages        = {195 - 202},
      year         = {2015},
      comment      = {Numerical Mathematics and Advanced Applications - ENUMATH
                      2013},
      booktitle     = {Numerical Mathematics and Advanced
                       Applications - ENUMATH 2013},
      abstract     = {The paper presents first a linear stability analysis for
                      the time-parallel Parareal method, using an IMEX Euler as
                      coarse and a Runge-Kutta-3 method as fine propagator,
                      confirming that dominant imaginary eigenvalues negatively
                      affect Parareal’s convergence. This suggests that when
                      Parareal is applied to the nonlinear Navier-Stokes
                      equations, problems for small viscosities could arise.
                      Numerical results for a driven cavity benchmark are
                      presented, confirming that Parareal’s convergence can
                      indeed deteriorate as viscosity decreases and the flow
                      becomes increasingly dominated by convection. The effect is
                      found to strongly depend on the spatial resolution.},
      month         = {Aug},
      date          = {2013-08-26},
      organization  = {European Numerical Mathematics and
                       Advanced Applications, Lausanne
                       (Switzerland), 26 Aug 2013 - 30 Aug
                       2013},
      cin          = {JSC},
      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)8 / PUB:(DE-HGF)7},
      doi          = {10.1007/978-3-319-10705-9_19},
      url          = {https://juser.fz-juelich.de/record/185897},
}