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Frantziskonis, G., Muralidharan, K., Deymier, S.S., Nukala, P. and Pannala, S. (2009) Time-Parallel Multiscale/Multiphysics Framework. Journal of Computational Physics, 228, 8085-8092.
https://doi.org/10.1016/j.jcp.2009.07.035

has been cited by the following article:

• TITLE: An Approximate Time-Parallel Method for the Fast and Accurate Computation of Particle Trajectories in a Magnetic Field*

  AUTHORS: Carl Lederman, David Bilyeu

  KEYWORDS: Hybridization, Time-Parallel, Numerical Methods, Differential Equations

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.3, March 19, 2018

  ABSTRACT: A temporal multiscale hybridization method is presented that carefully couples coarse scale gyrokinetic models with exact charged particle solution trajectories (that is, with full phase information) in a magnetic field. The approach is based on the careful approximation of a sum, generally employed for time-parallel (TP) computing applications. While the hybridization method presented is highly parallelizable, a computational efficiency gain is seen from considering serial computations only. A complete numerical method is only presented for the aforementioned charged particle application, however, the general approach depicted likely has relevance to a wide swath of challenging multiscale/multiphysics problems. Additionally, the approach has obvious relevance to TP computing applications (such as variable selection on which to perform TP calculations and fine scale sampling strategies).