• openAccess   Exponential propagators for the Schrodinger equation with a time-dependent potential 

      Bader, Philipp; Blanes, Sergio; Kopylov, Nikita AIP Publishing (2018-06)
      We consider the numerical integration of the Schrödinger equation with a time-dependent Hamiltonian given as the sum of the kinetic energy and a time-dependent potential. Commutator-free (CF) propagators are exponential ...
    • openAccess   Symplectic integrators for second-order linear non-autonomous equations 

      Bader, Philipp; Blanes, Sergio; Casas, Fernando; Kopylov, Nikita; Ponsoda, Enrique Elsevier (2018-03)
      Two families of symplectic methods specially designed for second-order time-dependent linear systems are presented. Both are obtained from the Magnus expansion of the corresponding first-order equation, but otherwise they ...