3 citations · 4 across the 7 of their papers we have counts for
6 papers · 1 filter
SIMD-vectorized implicit symplectic integrators can outperform explicit ones
Mikel Antoñana, Joseba Makazaga, Ander Murua
The main purpose of this work is to present a SIMD-vectorized implementation of the symplectic 16th-order 8-stage implicit Runge-Kutta integrator based on collocation with Gauss-Le…
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…
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…
New integration methods for perturbed ODEs based on symplectic implicit Runge-Kutta schemes with application to solar system simulations
Mikel Antoñana, Joseba Makazaga, Ander Murua
We propose a family of integrators, Flow-Composed Implicit Runge-Kutta (FCIRK) methods, for perturbations of nonlinear ordinary differential equations, consisting of the compositio…
Efficient implementation of symplectic implicit Runge-Kutta schemes with simplified Newton iterations
Mikel Antoñana, Joseba Makazaga, Ander Murua
We are concerned with the efficient implementation of symplectic implicit Runge-Kutta (IRK) methods applied to systems of (non-necessarily Hamiltonian) ordinary differential equati…
Reducing and monitoring round-off error propagation for symplectic implicit Runge-Kutta schemes
Mikel Antoñana, Joseba Makazaga, Ander Murua
We propose an implementation of symplectic implicit Runge-Kutta schemes for highly accurate numerical integration of non-stiff Hamiltonian systems based on fixed point iteration. P…