Showing 1 - 2 of 2 UKAEA Paper Results
2022
UKAEA-CCFE-PR(22)59
K. Pentland M. Tamborrino T. J. Sullivan J. Buchanan L. C. Appel
Sequential numerical methods for integrating initial value problems (IVPs) can be prohibitively expensive when high numerical accuracy is required over the entire interval of integration. One remedy is to integrate in a parallel fashion, “predicting” the solution serially using a cheap (coarse) solver and “correcting” these values using an …
Preprint2022
UKAEA-CCFE-PR(22)56
K. Pentland M. Tamborrino D. Samaddar L. C. Appel
Parareal is a well-studied algorithm for numerically integrating systems of time-dependent differential equations by parallelising the temporal domain. Given some initial values at each temporal sub-interval, the algorithm iteratively locates a solution in a fixed number of iterations using a predictor-corrector, stopping once a tolerance is met. T…
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