• openAccess   Convergence regions for the Chebyshev–Halley family 

      Campos, Beatriz; Canela, Jordi; Vindel, Pura Elsevier (2018-03)
      In this paper we study the dynamical behavior of the Chebyshev–Halley methods on the family of degree n polynomials . We prove that, despite increasing the degree, it is still possible to draw the parameter space by using ...
    • openAccess   Symplectic time-average propagators for the Schrodinger equation with a time-dependent Hamiltonian 

      Blanes, Sergio; Casas, Fernando; Murua, Ander AIP Publishing (2017-03)
      Several symplectic splitting methods of orders four and six are presented for the step-by-step time numerical integration of the Schrödinger equation when the Hamiltonian is a general explicitly time-dependent real operator. ...