New families of symplectic splitting methods for numerical integration in dynamical astronomy S Blanes, F Casas, A Farres, J Laskar, J Makazaga, A Murua Applied Numerical Mathematics 68, 58-72, 2013 | 108 | 2013 |
High precision symplectic integrators for the Solar System A Farrés, J Laskar, S Blanes, F Casas, J Makazaga, A Murua Celestial Mechanics and Dynamical Astronomy 116 (2), 141-174, 2013 | 69 | 2013 |
Multi-revolution composition methods for highly oscillatory differential equations P Chartier, J Makazaga, A Murua, G Vilmart Numerische Mathematik 128, 167-192, 2014 | 26 | 2014 |
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes M Antoñana, J Makazaga, A Murua Numerical Algorithms 76 (4), 861-880, 2017 | 14 | 2017 |
New Runge–Kutta based schemes for ODEs with cheap global error estimation J Makazaga, A Murua BIT Numerical Mathematics 43, 595-610, 2003 | 13 | 2003 |
A new class of symplectic integration schemes based on generating functions J Makazaga, A Murua Numerische Mathematik 113 (4), 631-642, 2009 | 7 | 2009 |
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 |
Cheap one-step global error estimation for odes A Murua, J Makazaga New Zealand journal of mathematics 29, 211-221, 2000 | 5 | 2000 |
Global Time-Renormalization of the Gravitational -body Problem M Antoñana, P Chartier, J Makazaga, A Murua SIAM Journal on Applied Dynamical Systems 19 (4), 2658–2681, 2020 | 3 | 2020 |
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 (1), 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 |
Sobre los errores locales y globales de la integración de Ecuaciones Diferenciales Ordinarias mediante métodos de Runge-Kutta Explícitos J Makazaga Odria UPV/EHU (University of the Basque Country) Departmnet KZAA/CCIA (Computer …, 2007 | 1 | 2007 |
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 |
Integratzaile simetrikodun 10 ordenako konposizio metodo simetrikoen bilaketa (Search of 10-order symmetric composition methods of symmetric integrators) E Alberdi Celaya, J Makazaga Odria, A Murua Uria Ekaia. EHUko Zientzia eta Teknologia aldizkaria- ISSN: 0214-9001 34, 99-121, 2018 | | 2018 |
Technique to find 10-order Symmetric Composition Methods of Symmetric Integrators EA Celaya, J Makazaga, A Murua Congress on Numerical Methods in Engineering CMN2017 3, 5, 2017 | | 2017 |
Search of symmetric composition methods of symmetric integrators E Alberdi Celaya | | 2016 |