• openAccess   Continuous changes of variables and the Magnus expansion 

      Casas, Fernando; Chartier, Philippe; Murua, Ander IOP (2019-09-23)
      In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuous variable transformations generated by ...
    • 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 ...