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Publications
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Antoñana, Mikel; Chartier, Philippe; Makazaga, Joseba & Murua, Ander.
Global Time-Renormalization of the Gravitational N-body Problem,
SIAM Journal on Applied Dynamical Systems, ISSN 1536-0040, Vol. 19, No. 4, pp. 2658--2681, 2020. DOI https://doi.org/10.1137/20M1314719
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Antoñana, M., Makazaga, J. & Murua, A.
New Integration Methods for Perturbed ODEs Based on Symplectic Implicit Runge-Kutta Schemes with Application to Solar System Simulations,
Journal of Scientific Computing, ISSN 0885-7474, 2018, vol 76, number 1, pages 630-650, July 2018, DOI 10.1007/s10915-017-0634-1
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Antoñana, M., Makazaga, J. & Murua, A.
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations ,
Numerical Algorithms, 2018, vol 78, issue 1, pages 63--86, Received: 22 March 2017 / Accepted: 19 June 2017/ Published online: 28 June 2017, DOI 10.1007/s11075-017-0367-0
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Antoñana, M., Makazaga, J. & Murua, A.
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes ,
Numerical Algorithms, 2017, vol. 76, issue 4, pages 861--880, December 2017, DOI:10.1007/s11075-017-0287-z
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Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart.
Multi-revolution composition methods for highly oscillatory differential equations,
Numerische Mathematik, September 2014, Volume 128, issue 1, pages 167--192, Received: 4 March 2013 / Revised: 20 September 2013/ Published online: 17 January 2014, DOI 10.1007/s00211-013-0602-0
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Ariadna Farrés, Jacques Laskar, Sergio Blanes, Fernando Casas, Joseba Makazaga, Ander Murua.
High precision symplectic integrators for the Solar System,
Celestial Mechanics and Dynamical Astronomy, Received: 6 August 2012 / Revised: / Accepted: 27 February 2013, DOI 10.1007/s10569-013-9479-6
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S. Blanes, F. Casas, A. Farrés, J. Laskar, J. Makazaga, A. Murua.
New families of symplectic splitting methods for numerical integration in dynamical astronomy,
Applied Numerical Mathematics, Volume 68, June 2013, Pages 58-72, ISSN 0168-9274, 10.1016/j.apnum.2013.01.003.
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PhD
Other publications
Interests
- Global Error Estimation for ODE solver
- Numerical Integration of Hamiltonian systems
- Step-size selection
- Parallel computing
- Computer Graphics
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