Your English writing platform
Discover LudwigSuggestions(5)
Exact(13)
However, each interaction is treated using Time-Driven Molecular Dynamintegratingy iNewtonting Newton's Second Law using the sufficiently small time step needed to correctly resolve the atomic motion.
As a general rule, the DSA is more robust than the SIA, in the sense that its convergence is less sensitive to time step size (any approach will converge given a sufficiently small time step).
At the same time, this family of central schemes suffers from excessive numerical viscosity when a sufficiently small time step is enforced, e.g., due to the presence of degenerate diffusion terms.
The performance of the proposed method has been tested against periodic solutions of three oscillators, namely Ueda's, Duffing-Holmes' and Van der Pol's oscillators, obtained using a fourth order Runge-Kutta method with a sufficiently small time step.
Alternatively, we can restrict our analyses to sufficiently small time windows, in which the dynamics can be assumed to be (approximately) stationary.
After a sufficiently small time interval Δt, the intensity at (x, y) will move to a point (x + Δx, y + Δy).
Similar(47)
You will use discrete-time collision detection to find overlapping pairs (as opposed to continuous/interval-based collision detection like in assignment #2), which will work reasonably well for the disk-disk contacts and sufficiently small time-steps.
Even with sufficiently small time-steps, algebraic errors may increase unboundedly due to the large number of time-steps.
Therefore, interference mitigation techniques must be sufficiently dynamic and operate on a sufficiently small time-scale to ensure that the fluctuations in the interference are captured.
The boundedness of the attractor is ensured for sufficiently small sampling times; with the sampling time tending to zero these switchings become faster and they turn into sliding motion.
If the dust particles are sufficiently small the time step is determined by the drag.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com