Publicaciones en colaboración con investigadoras/es de Universidad de Valladolid (11)

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