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 |