Publicaciones (60) Publicaciones de ANDER MURUA URIA

2022

  1. An implicit symplectic solver for high-precision long-term integrations of the Solar System

    Celestial Mechanics and Dynamical Astronomy, Vol. 134, Núm. 3

  2. Majorant series for the N-body problem

    International Journal of Computer Mathematics, Vol. 99, Núm. 1, pp. 158-183

2021

  1. From Runge-Kutta Methods to Hopf Algebras of Rooted Trees

    Algebra and Applications 2: Combinatorial Algebra and Hopf Algebras (wiley), pp. 179-219

  2. Global Time-Renormalization of the Gravitational N-body Problem

    SIAM Journal on Applied Dynamical Systems, Vol. 19, Núm. 4, pp. 2658-2681

2020

  1. New high order symplectic integrators via generating functions with its application in many-body problem

    BIT Numerical Mathematics, Vol. 60, Núm. 2, pp. 509-535

2019

  1. Continuous changes of variables and the magnus expansion

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

  2. The lie algebra of classical mechanics

    Journal of Computational Dynamics, Vol. 6, Núm. 2, pp. 345-360

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. Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations

    Numerical Algorithms, Vol. 78, Núm. 1, pp. 63-86

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

    Abel Symposia

  4. Integratzaile simetrikodun 10 ordenako konposizio metodo simetrikoen bilaketa

    Ekaia: Euskal Herriko Unibertsitateko zientzi eta teknologi aldizkaria, Núm. 34, pp. 99-121

  5. New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge–Kutta Schemes with Application to Solar System Simulations

    Journal of Scientific Computing, Vol. 76, Núm. 1, pp. 630-650

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. Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes

    Numerical Algorithms, Vol. 76, Núm. 4, pp. 861-880

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

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

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

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

  2. 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)

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

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