89 citations · 89 across the 1 of their papers we have counts for
4 papers
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…
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…
Continuous changes of variables and the Magnus expansion
Fernando Casas, Philippe Chartier, Ander Murua
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuo…
An efficient algorithm for computing the Baker-Campbell-Hausdorff series and some of its applications
Fernando Casas, Ander Murua
We provide a new algorithm for generating the Baker--Campbell--Hausdorff (BCH) series $Z = \log(\e^X \e^Y)$ in an arbitrary generalized Hall basis of the free Lie algebra $\mathcal…