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physics.comp-ph2014★ 32 cited
Krylov subspace methods for the Dirac equation
Randolf Beerwerth, Heiko Bauke
The Lanczos algorithm is evaluated for solving the time-independent as well as the time-dependent Dirac equation with arbitrary electromagnetic fields. We demonstrate that the Lanc…
physics.comp-ph2011★ 7 cited
A stability analysis of a real space split operator method for the Klein-Gordon equation
Frederick Blumenthal, Heiko Bauke
We carry out a stability analysis for the real space split operator method for the propagation of the time-dependent Klein-Gordon equation that has been proposed Ruf et al. [M. Ruf…
physics.comp-ph2010★ 73 cited
Accelerating the Fourier split operator method via graphics processing units
Heiko Bauke, Christoph H. Keitel
Current generations of graphics processing units have turned into highly parallel devices with general computing capabilities. Thus, graphics processing units may be utilized, for…