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

@article{Dai2013StablePI, title={Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems}, author={Xiaoying Dai and Yvon Maday}, journal={SIAM J. Sci. Comput.}, year={2013}, volume={35} }

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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