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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
(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
(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
(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
(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 ...