The phrase "a sufficiently small time" is correct and usable in written English.
It can be used in contexts where you are discussing time intervals that are small enough to be considered negligible or insignificant for a particular purpose.
Example: "In order to achieve accurate results, we must ensure that the measurements are taken over a sufficiently small time."
Alternatives: "an adequately brief time" or "a suitably short time".
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.
After a sufficiently small time interval Δt, the intensity at (x, y) will move to a point (x + Δx, y + Δy).
If we assume that the initial density and temperature are strictly positive and that the initial data are sufficiently smooth spherically symmetric functions then our problem has a generalized solution for a sufficiently small time interval.
In order to restrain the discretization errors with respect to time step τ, we use a sufficiently small time step τ = 10 − 3. Numerical experiments are carried out with the use of piecewise linear ( P 1 ) approximations on five consecutive uniformly refined meshes having 125, 250, 500, 1,000 and 2,000 elements.
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.
If a SPART circuit with sufficiently small time constant is deployed early in the signal chain of a receiver channel affected by non-Gaussian impulsive noise, it can be shown that there exists such rate parameter that maximizes SNR and improves the quality of the channel.
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.
Alternatively, we can restrict our analyses to sufficiently small time windows, in which the dynamics can be assumed to be (approximately) stationary.
A common technique to overcome these convergence difficulties is the use of a visco-plastic regularization of the constitutive equations, which causes the consistent tangent stiffness of the softening material to become positive for sufficiently small time increments.
