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Showing 1 to 2 of 2 for “"commutator free"”.
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Development and analysis of high order neutron transport-depletion coupling algorithms
… regard to numerical error, the CF4 algorithm (a commutator-free Lie integrator) outperformed all tested algorithms. In number of transport simulations to achieve a 0.1% gadolinium relative error, CF4 requires half the simulations. With regard to stochastic error, it was found that once a time …
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High accuracy computational methods for the semiclassical Schrödinger equation
… and numerical stability. The properties of commutator simplification and height reduction in these Lie algebras result in a highly effective form of $\textit{asymptotic splitting:} $exponential splittings where consecutive terms are scaled by increasing powers of the small semiclassical …