5 citations · 7 across the 5 of their papers we have counts for
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Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Winfried Auzinger, Juliette Dubois, Karsten Held +7
Strongly interacting electrons in solids are generically described by Hubbardtype models, and the impact of solar light can be modeled by an additional time-dependence. This yields…
An Algorithm for Computing Coefficients of Words in Expressions Involving Exponentials and its Application to the Construction of Exponential Integrators
Harald Hofstätter, Winfried Auzinger, Othmar Koch
This paper discusses an efficient implementation of the generation of order conditions for the construction of exponential integrators like exponential splitting and Magnus-type me…
Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime
Winfried Auzinger, Harald Hofstätter, Othmar Koch +2
Time dependent Schrödinger equations with conservative force field U commonly constitute a major challenge in the numerical approximation, especially when they are analysed in the…
Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations
Winfried Auzinger, Harald Hofstätter, Othmar Koch
Prior work on computable defect-based local error estimators for (linear) time-reversible integrators is extended to nonlinear and nonautonomous evolution equations. We prove that…
Setup of Order Conditions for Splitting Methods
Winfried Auzinger, Wolfgang Herfort, Harald Hofstätter +1
This article is based on earlier papers where an approach based on Taylor expansion and the structure of its leading term as an element of a free Lie algebra was described for the…