• openAccess   Composition Methods for Dynamical Systems Separable into Three Parts 

      Casas, Fernando; Escorihuela-Tomàs, Alejandro MDPI (2020)
      New families of fourth-order composition methods for the numerical integration of initial value problems defined by ordinary differential equations are proposed. They are designed when the problem can be separated into ...
    • openAccess   Families of efficient low order processed composition methods 

      Blanes, Sergio; Casas, Fernando; Escorihuela-Tomàs, Alejandro Elsevier (2024-10)
      New families of composition methods with processing of order 4 and 6 are presented and analyzed. They are specifically designed to be used for the numerical integration of differential equations whose vector field is ...
    • openAccess   High order integrators obtained by linear combinations of symmetric-conjugate compositions 

      Casas, Fernando; Escorihuela-Tomàs, Alejandro Elsevier (2022-02-01)
      A new family of methods involving complex coefficients for the numerical integration of differential equations is presented and analyzed. They are constructed as linear combinations of symmetric-conjugate compositions ...
    • openAccess   Splitting and composition methods with embedded error estimators 

      Blanes, Sergio; Casas, Fernando; Thalhammer, Mechthild Elsevier (2019-12)
      We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, ...