94 citations · 364 across the 34 of their papers we have counts for
5 papers · 1 filter
Geometric integrators and the Hamiltonian Monte Carlo method
Nawaf Bou-Rabee, Jesús María Sanz-Serna
This paper surveys in detail the relations between numerical integration and the Hamiltonian (or hybrid) Monte Carlo method (HMC). Since the computational cost of HMC mainly lies i…
Bogdanov-Takens resonance in time-delayed systems
Mattia Coccolo, BeiBei Zhu, Miguel A. F. Sanjuán +1
We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be…
Palindromic 3-stage splitting integrators, a roadmap
Cédric M. Campos, J. M. Sanz-Serna
The implementation of multi-stage splitting integrators is essentially the same as the implementation of the familiar Strang/Verlet method. Therefore multi-stage formulas may be ea…
A stroboscopic averaging algorithm for highly oscillatory delay problems
J. M. Sanz-Serna, Beibei Zhu
We propose and analyze a heterogenous multiscale method for the efficient integration of constant-delay differential equations subject to fast periodic forcing. The stroboscopic av…
Hopf algebra techniques to handle dynamical systems and numerical integrators
A. Murua, J. M. Sanz-Serna
In a series of papers the present authors and their coworkers have developed a family of algebraic techniques to solve a number of problems in the theory of discrete or continuous…