A Parareal iteration whose coarse and fine time propagators are both parallelized with the direct ParaDIn method solves nonlinear 2D heat and Burgers problems with measured speedups up to 124x on 480 cores.
Stability of the Parareal Algorithm,
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A Combined Parallel-in-time Direct Inverse (ParaDIn)-Parareal Method for Nonlinear Differential Equations
A Parareal iteration whose coarse and fine time propagators are both parallelized with the direct ParaDIn method solves nonlinear 2D heat and Burgers problems with measured speedups up to 124x on 480 cores.