3 papers
math.NA2021
Majorant series for the -body problem
Mikel Antoñana, Philippe Chartier, Ander Murua
As a follow-up of a previous work of the authors, this work considers {\em uniform global time-renormalization functions} for the {\em gravitational} -body problem. It improves…
math.DS2020
Global time-renormalization of the gravitational -body problem
M. Antoñana, P. Chartier, J. Makazaga +1
This work considers the {\em gravitational} -body problem and introduces global time-renormalization {\em functions} that allow the efficient numerical integration with fixed ti…
math.NA2019
An algorithm based on continuation techniques for minimization problems with highly non-linear equality constraints
Elisabete Alberdi, Mikel Antoñana, Joseba Makazaga +1
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…