130 citations · 341 across the 4 of their papers we have counts for
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cond-mat.stat-mech2001★ 114 cited
On the construction of high-order force gradient algorithms for integration of motion in classical and quantum systems
Igor Omelyan, Ihor Mryglod, Reinhard Folk
A consequent approach is proposed to construct symplectic force-gradient algorithms of arbitrarily high orders in the time step for precise integration of motion in classical and q…
cond-mat.stat-mech2001★ 130 cited
Optimized Verlet-like algorithms for molecular dynamics simulations
Igor Omelyan, Ihor Mryglod, Reinhard Folk
New explicit velocity- and position-Verlet-like algorithms of the second order are proposed to integrate the equations of motion in many-body systems. The algorithms are derived on…