Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems

  title={Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems},
  author={Xiaoying Dai and Yvon Maday},
  journal={SIAM J. Sci. Comput.},
  • X. Dai, Y. Maday
  • Published 2013
  • Mathematics, Computer Science
  • SIAM J. Sci. Comput.
The parareal in time algorithm allows one to perform parallel simulations of time-dependent problems. This algorithm has been implemented on many types of time-dependent problems with some success. Recent contributions have allowed one to extend the domain of application of the parareal in time algorithm so as to handle long-time simulations of Hamiltonian systems. This improvement has managed to avoid the fatally large lack of accuracy of the plain parareal in time algorithm, which does not… Expand
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