Publications by the researcher in collaboration with Fernando Casas Pérez (16)

2024

  1. Splitting methods for differential equations

    Acta Numerica, Vol. 33

2019

  1. Continuous changes of variables and the magnus expansion

    Journal of Physics Communications, Vol. 3, Núm. 9

2017

  1. Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian

    Journal of Chemical Physics, Vol. 146, Núm. 11

2015

  1. An efficient algorithm based on splitting for the time integration of the Schrödinger equation

    Journal of Computational Physics, Vol. 303, pp. 396-412

2013

  1. High precision symplectic integrators for the Solar System

    Celestial Mechanics and Dynamical Astronomy, Vol. 116, Núm. 2, pp. 141-174

  2. New families of symplectic splitting methods for numerical integration in dynamical astronomy

    Applied Numerical Mathematics, Vol. 68, pp. 58-72

  3. Optimized high-order splitting methods for some classes of parabolic equations

    Mathematics of Computation, Vol. 82, Núm. 283, pp. 1559-1576

2012

  1. Efficient computation of the Zassenhaus formula

    Computer Physics Communications, Vol. 183, Núm. 11, pp. 2386-2391

2011

  1. Error analysis of splitting methods for the time dependent schrodinger equation

    SIAM Journal on Scientific Computing, Vol. 33, Núm. 4, pp. 1525-1548

2010

  1. Splitting methods with complex coefficients

    SeMA Journal, Vol. 50, Núm. 1, pp. 47-60

2009

  1. An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications

    Journal of Mathematical Physics, Vol. 50, Núm. 3

2008

  1. On the linear stability of splitting methods

    Foundations of Computational Mathematics, Vol. 8, Núm. 3, pp. 357-393

2007

  1. Splitting methods for non-autonomous linear systems

    International Journal of Computer Mathematics, Vol. 84, Núm. 6, pp. 713-727

2006

  1. Composition methods for differential equations with processing

    SIAM Journal on Scientific Computing, Vol. 27, Núm. 6, pp. 1817-1843

  2. Symplectic splitting operator methods for the time-dependent Schrödinger equation

    Journal of Chemical Physics, Vol. 124, Núm. 23

2004

  1. On the numerical integration of ordinary differential equations by processed methods

    SIAM Journal on Numerical Analysis, Vol. 42, Núm. 2, pp. 531-552