Sentence examples for maintain numerical stability from inspiring English sources

An eighth-order pentadiagonal filter is derived and utilized to maintain numerical stability and eliminate spurious oscillations.

The small time steps maintain numerical stability, while the overall solution is updated on a larger time step to reduce computational cost.

With this improvement, the proposed 3D MLBFS not only avoids the calculation of the compensation tensor but also is able to maintain numerical stability with very thin interface thickness.

However, the computation of the tensor introduces additional complexity and usually needs a relatively thicker interface thickness to maintain numerical stability, which makes the solver be complex and inefficient in the 3D case.

The length of the time step chosen within the model is related to the distance between the points on the computational grid, and is chosen to maintain numerical stability.

Newman [ 46] used Euler's method but we found we needed to decrease the δt in order to maintain numerical stability for some potential functions, therefore we have used the 2nd-order Runge-Kutta scheme for all of our algorithms.

Simulation results obtained from reaction only and one-dimensional advection dispersion-reaction tradvection dispersion-reactionaccuracy while maintransportumexamplestability.

This grid discretization represents a trade-off between the conflicting goals of achieving reasonable computing times (with a coarser grid) and preventing loss of relevant details (with a finer grid) while maintaining numerical stability (Fig. 3).

In order to regularize the level set function and maintain the numerical stability during the level set evolution, we presented an operator splitting method.

In order to maintain the numerical stability of the algorithms and to ensure that quantization errors induce only small errors in the final result, a careful numerical study has been conducted.

The SDF property is highly preferred in classical level set methods to maintain the numerical stability during the topology optimization process and provide a metric for the distance-based interpolation of different material properties.