Your English writing platform
Discover LudwigSuggestions(5)
Exact(6)
The adoption of multiple time step integrators can provide substantial computational savings for mechanical systems with multiple time scales.
In this work we demonstrate two potential dangers of multiple time step techniques for numerical integration of differential equations.
Experimental results are reported for single-time step prediction and multiple time step (p-step) prediction on several widely used time series.
We then applied these results to analyze the stability of multiple time step integrators in the more complex mechanical systems arising in molecular dynamics and solid dynamics.
A time step of 1 fs was used to integrate the equations of motion, and a reversible multiple time step algorithm of 4 fs was used for the electrostatic forces and 2 fs for short-range, non-bonded forces.
In a multiple time step simulation, the number of particles active in the fastest rung is typically only a fraction of the total number of particles being simulated.
Similar(54)
Our algorithm also facilitates application of multiple time stepping techniques within the FMM.
In the second case, there exists a control sequence which makes the system reach to zero in multiple time steps.
The method employs multiple time steps across the computational crystal both for the force evaluation and the neighbor list updating.
We perform experiments on linear and nonlinear problems comparing symplectic and nonsymplectic multiple time stepping extensions of the Verlet method.
The use of multiple time stepping with the popular Verlet method was proposed in a 1991 paper.
More suggestions(3)
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