Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes M Antonana, J Makazaga, A Murua
Numerical Algorithms 76, 861-880, 2017
14 2017 Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations M Antoñana, J Makazaga, A Murua
Numerical Algorithms 78 (1), 63-86, 2018
6 2018 Global Time-Renormalization of the Gravitational -body Problem M Anton͂ana, P Chartier, J Makazaga, A Murua
SIAM Journal on Applied Dynamical Systems 19 (4), 2658-2681, 2020
3 2020 New integration methods for perturbed ODEs based on symplectic implicit Runge–Kutta schemes with application to solar system simulations M Antoñana, J Makazaga, A Murua
Journal of Scientific Computing 76, 630-650, 2018
3 2018 An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints E Alberdi, M Antoñana, J Makazaga, A Murua
arXiv preprint arXiv:1909.07263, 2019
2 2019 An implicit symplectic solver for high-precision long-term integrations of the Solar System M Antoñana, E Alberdi, J Makazaga, A Murua
Celestial Mechanics and Dynamical Astronomy 134 (3), 31, 2022
1 2022 Majorant series for the N -body problem M Antoñana, P Chartier, A Murua
International Journal of Computer Mathematics 99 (1), 158-183, 2022
2022 Implicit symplectic methods for high precision numerical integration of the Solar System E Alberdi, M Antonana, J Makazaga, A Murua
Conference on Applied and Industrial Mathematics, 44-45, 2022
2022 An algorithm based on continuation techniques for minimization problems with non-linear equality constraints E Alberdi, J Makazaga, A Murua, M Antonana
Proceedings IMCS-55, 176-178, 2019
2019