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+34 946 567 842
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amurua@bcamath.org
Information of interest
- Orcid: 0000-0002-3430-9642
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An Algorithm based on continuation techniques for minimization problems with highly non linear equality constraints
Alberdi, E.; Antoñana, M.; Makazaga, J.; Murua, A.
(2021)
We present an algorithm based on continuation techniques that can be applied to solve numerically minimization problems with equality constraints. We focus on problems with a great number of local minima which are hard to ...
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Global Time-Renormalization of the Gravitational N-body Problem
Antoñana, M.; Chartier, P.; Makazaga, J.; Murua, A. (2021-01-01)
This work considers the gravitational N-body problem and introduces global time-renormalization functions that allow the efficient numerical integration with fixed time-steps. First, a lower bound of the radius of convergence ...
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An implicit symplectic solver for high-precision long term integrations of the Solar System
Antoñana, M.; Alberdi, E.; Makazaga, J.; Murua, A. (2022)
We present FCIRK16, a 16th-order implicit symplectic integrator for long-term high precision Solar System simulations. Our integrator takes advantage of the near-Keplerian motion of the planets around the Sun by ...
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Majorant series for the N-body problem
Antoñana, M.; Chartier, P.; Murua, A. (2021-01-01)
As a follow-up of a previous work of the authors, this work considers uniform global time-renormalization functions for the gravitationalN-body problem. It improves on the estimates of the radii of convergence obtained ...