Publications by the researcher in collaboration with Jesús María Sanz Serna (16)

2018

  1. Averaging and computing normal forms with word series algorithms

    Springer Proceedings in Mathematics and Statistics (Springer New York LLC), pp. 115-137

  2. Hopf algebra techniques to handle dynamical systems and numerical integrators

    Abel Symposia

2017

  1. Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case (2012), 12, 471–508, 10.1007/s10208-012-9118-8

    Foundations of Computational Mathematics

  2. Word Series for Dynamical Systems and Their Numerical Integrators

    Foundations of Computational Mathematics, Vol. 17, Núm. 3, pp. 675-712

2016

  1. Computing normal forms and formal invariants of dynamical systems by means of word series Dedicated to Juan Luis Vázquez on his 70th birthday

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 138, pp. 326-345

2015

  1. Formal series and numerical integrators: some history and some new techniques

    Proceedings of the 8th International Congress on Industrial and Applied Mathematics (ICIAM 2015) (Higher Education Press)

  2. Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds

    Foundations of Computational Mathematics, Vol. 15, Núm. 2, pp. 591-612

2012

  1. A formal series approach to averaging: Exponentially small error estimates

    Discrete and Continuous Dynamical Systems, Vol. 32, Núm. 9, pp. 3009-3027

  2. A new approach to high-order averaging

    AIP Conference Proceedings

  3. A stroboscopic numerical method for highly oscillatory problems

    Lecture Notes in Computational Science and Engineering

  4. Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case

    Foundations of Computational Mathematics, Vol. 12, Núm. 4, pp. 471-508

2011

  1. Numerical stroboscopic averaging for ODEs and DAEs

    Applied Numerical Mathematics, Vol. 61, Núm. 10, pp. 1077-1095

2010

  1. Higher-Order Averaging, Formal Series and Numerical Integration I: B-series

    Foundations of Computational Mathematics, Vol. 10, Núm. 6, pp. 695-727

1999

  1. Order conditions for numerical integrators obtained by composing simpler integrators

    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 357, Núm. 1754, pp. 1079-1100

1997

  1. Symplectic Methods Based on Decompositions

    SIAM Journal on Numerical Analysis, Vol. 34, Núm. 5, pp. 1926-1947

1994

  1. The non-existence of symplectic multi-derivative Runge-Kutta methods

    BIT, Vol. 34, Núm. 1, pp. 80-87