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Stability of the Parareal Time Discretization for Parabolic Inverse Problems

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 55))

Abstract

The practical aspect of the parareal algorithm that consists of using two solvers the coarse and fine over different time stepping to produce a rapid convergent iterative method for multi processors computations. The coarse solver solve the equation sequentially on the coarse time step while the fine solver use the information from the coarse solution to solve, in parallel, over the fine time steps.

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Daoud, D.S. (2007). Stability of the Parareal Time Discretization for Parabolic Inverse Problems. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_32

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