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The equations of particles motion were solved via a Lagrangian particle tracking algorithm with the TrackToFace method.
The equations of motion were solved by verlet algorithm, in which it was considered a timestep of 1 fs and data saved at each 100 fs.
Lumbar vertebrae were modeled as masses, massless-spring, and dampers, and the resulting equations of motion were solved by using a modal analysis approach.
The obtained equations of motion were solved numerically with a modified Newmark time-integration method for the increasing rotational frequency of the shaft.
The equations of motion were solved with the leapfrog integration algorithm with a time step of 2 fs.
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To describe the cluster in terms of classical mechanics, the Newtonian equations of motion are solved repeatedly namely, force equals mass times acceleration, in which the forces depend on the instantaneous positions of all the particles.
The equations of motion are solved using Galerkin method.
The equations of motion are solved by Galerkin procedure.
The equations of motion are solved via an asymptotic procedure.
Equation of motion was solved using Newmark algorithm.
The equations of motion are solved via an analytical procedure.
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