• 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   Splitting and composition methods in the numerical integration of differential equations 

      Blanes, Sergio; Murua, Ander; Casas, Fernando Sociedad Española de Matemática Aplicada (2008)
      We provide a comprehensive survey of splitting and composition methods for the numerical integration of ordinary differential equations (ODEs). Splitting methods constitute an appropriate choice when the vector field ...