ANDER
MURUA URIA
PROFESORADO PLENO
Publicaciones (61) Publicaciones de ANDER MURUA URIA
2024
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Splitting methods for differential equations
Acta Numerica, Vol. 33
2022
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An implicit symplectic solver for high-precision long-term integrations of the Solar System
Celestial Mechanics and Dynamical Astronomy, Vol. 134, Núm. 3
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Majorant series for the N-body problem
International Journal of Computer Mathematics, Vol. 99, Núm. 1, pp. 158-183
2021
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From Runge-Kutta Methods to Hopf Algebras of Rooted Trees
Algebra and Applications 2: Combinatorial Algebra and Hopf Algebras (wiley), pp. 179-219
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Global Time-Renormalization of the Gravitational N-body Problem
SIAM Journal on Applied Dynamical Systems, Vol. 19, Núm. 4, pp. 2658-2681
2020
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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
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Continuous changes of variables and the magnus expansion
Journal of Physics Communications, Vol. 3, Núm. 9
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The lie algebra of classical mechanics
Journal of Computational Dynamics, Vol. 6, Núm. 2, pp. 345-360
2018
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Averaging and computing normal forms with word series algorithms
Springer Proceedings in Mathematics and Statistics (Springer New York LLC), pp. 115-137
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Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations
Numerical Algorithms, Vol. 78, Núm. 1, pp. 63-86
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Hopf algebra techniques to handle dynamical systems and numerical integrators
Abel Symposia
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Integratzaile simetrikodun 10 ordenako konposizio metodo simetrikoen bilaketa
Ekaia: Euskal Herriko Unibertsitateko zientzi eta teknologi aldizkaria, Núm. 34, pp. 99-121
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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
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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
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Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes
Numerical Algorithms, Vol. 76, Núm. 4, pp. 861-880
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Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian
Journal of Chemical Physics, Vol. 146, Núm. 11
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Word Series for Dynamical Systems and Their Numerical Integrators
Foundations of Computational Mathematics, Vol. 17, Núm. 3, pp. 675-712
2016
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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
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An efficient algorithm based on splitting for the time integration of the Schrödinger equation
Journal of Computational Physics, Vol. 303, pp. 396-412
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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)