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Code for Buvoli T., Minion M. (2021) IMEX Runge-Kutta Parareal for Non-diffusive Equations. In: Ong B., Schroder J., Shipton J., Friedhoff S. (eds) Parallel-in-Time Integration Methods. PinT 2020. Springer Proceedings in Mathematics & Statistics, vol 356. Springer, Cham.

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parareal

Matlab code for generating parareal stability, accuracy, and convergence regions and prototyping numerical experiments.

directory structure

  • mains: contains all the main scripts for generating the paper figures.
  • stability: contains all the code for calculating stability and convergence properties of IMEX integrators and parareal.
  • stepper: contains the code for running a serial parareal algorithm that is useful for testing combinations.

Additional Stability and Convergence Plots

Additional stability plots are located in the directory mains/grid-plots-stability/figures. Diagrams show all coarse/fine pairings using IMEX-RK methods of orders 1 to 4 at three different zoom levels.

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Code for Buvoli T., Minion M. (2021) IMEX Runge-Kutta Parareal for Non-diffusive Equations. In: Ong B., Schroder J., Shipton J., Friedhoff S. (eds) Parallel-in-Time Integration Methods. PinT 2020. Springer Proceedings in Mathematics & Statistics, vol 356. Springer, Cham.

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