3 citations · 4 across the 2 of their papers we have counts for
3 papers
An implicit symplectic solver for high-precision long term integrations of the Solar System
M. Antoñana, E. Alberdi, J. Makazaga +1
Compared to other symplectic integrators (the Wisdom and Holman map and its higher order generalizations) that also take advantage of the hierarchical nature of the motion of the p…
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…
Variational Formulations for Explicit Runge-Kutta Methods
Judit Muñoz-Matute, David Pardo, Victor M. Calo +1
Variational space-time formulations for Partial Differential Equations have been of great interest in the last decades. While it is known that implicit time marching schemes have v…