Publications by the researcher in collaboration with Jesús María Sanz Serna (38)

2021

  1. HMC: Reducing the number of rejections by not using leapfrog and some results on the acceptance rate

    Journal of Computational Physics, Vol. 437

2020

  1. High-order stroboscopic averaging methods for highly oscillatory delay problems

    Applied Numerical Mathematics, Vol. 152, pp. 466-479

2013

  1. A simplified variable metric hybrid Monte Carlo method

    AIP Conference Proceedings

2012

  1. A stroboscopic numerical method for highly oscillatory problems

    Lecture Notes in Computational Science and Engineering

2011

  1. Numerical stroboscopic averaging for ODEs and DAEs

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

2010

  1. Carrying an inverted pendulum on a bumpy road

    Discrete and Continuous Dynamical Systems - Series B, Vol. 14, Núm. 2, pp. 429-438

  2. Heterogeneous multiscale methods for mechanical systems with vibrations

    SIAM Journal on Scientific Computing, Vol. 32, Núm. 4, pp. 2029-2046

2009

  1. Instabilities and inaccuracies in the integration of highly oscillatory problems

    SIAM Journal on Scientific Computing, Vol. 31, Núm. 3, pp. 1653-1677

2000

  1. The numerical integration of relative equilibrium solutions. The nonlinear Schrödinger equation

    IMA Journal of Numerical Analysis, Vol. 20, Núm. 2, pp. 235-261

1998

  1. Error growth in the numerical integration of periodic orbits by multistep methods, with application to reversible systems

    IMA Journal of Numerical Analysis, Vol. 18, Núm. 1, pp. 57-75

  2. Propagación del error en la integración numérica de equilibrios relativos

    XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997

  3. The numerical integration of relative equilibrium solutions. Geometric theory

    Nonlinearity, Vol. 11, Núm. 6, pp. 1547-1567

  4. Variable step implementation of geometric integrators

    Applied Numerical Mathematics, Vol. 28, Núm. 1, pp. 1-16

1997

  1. Accuracy and conservation properties in numerical integration: The case of the Korteweg-de Vries equation

    Numerische Mathematik, Vol. 75, Núm. 4, pp. 421-445

  2. Error growth in the numerical integration of periodic orbits, with application to Hamiltonian and reversible systems

    SIAM Journal on Numerical Analysis, Vol. 34, Núm. 4, pp. 1391-1417

  3. Explicit symplectic integrators using Hessian-vector products

    SIAM Journal of Scientific Computing, Vol. 18, Núm. 1, pp. 223-238

1996

  1. Are Gauss-Legendre methods useful in molecular dynamics?

    Journal of Computational and Applied Mathematics, Vol. 67, Núm. 1, pp. 173-179

  2. Classical numerical integrators for wave-packet dynamics

    Journal of Chemical Physics, Vol. 104, Núm. 6, pp. 2349-2355

1995

  1. A finite difference scheme for the K(2, 2) compacton equation

    Journal of Computational Physics, Vol. 120, Núm. 2, pp. 248-252

  2. Lack of dissipativity is not symplecticness

    BIT Numerical Mathematics, Vol. 35, Núm. 2, pp. 269-276