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Showing 1 to 2 of 2 for “"Magnus expansions"”.
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High accuracy computational methods for the semiclassical Schrödinger equation
… are tackled by developing commutator-free Magnus expansions in our Lie algebra, which are subsequently split using the Zassenhaus algorithm. We present two approaches for developing arbitrarily high-order Magnus--Zassenhaus schemes${-}$one where the integrals are discretised using …
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Theoretical Analysis of Nonlinear Differential Equations
… Regular and singular perturbation theory and Magnus expansions are our particular focus. Each section offers several examples to show how each technique is implemented along with the use of visuals to demonstrate the accuracy, or lack thereof, of each technique. These techniques are integral …