Sentence examples for employing numerical methods from inspiring English sources

However, the author has no doubt that investigation along this line will lead to a new approach employing numerical methods in the field of existence theory of solutions for various variational inequalities that appear in mathematical analysis.

Attempts have been made in the past to solve the mass transfer problem governing the evaporation process, either analytically or by employing numerical methods.

The authors have no doubt that investigations along these lines will lead to a new approach employing numerical method in the research field of the poly-tangent polynomials (T_{n,q}^{ k)}(x)), which appear in mathematics and physics.

The employed numerical methods included the volume of fluid (VOF) approach for interface tracking and finite volumes on structured grids.

The results indicate that point-based AMG methods, carefully designed, are an attractive alternative to more commonly employed numerical methods for the simulation of complex electrochemical processes.

The necessary modifications of both the basic equations and the employed numerical methods are detailed, including, e.g., the change from spectral methods to finite difference and interpolation techniques in the radial direction and the implementation of sources and sinks.

The performance (i.e., accuracy and stability) of the employed numerical methods was assessed by a direct comparison of predicted PSDs or/and their respective moments to available analytical solutions.

The purpose of this paper is to employ numerical methods to approximate the solution of the linear integral equations (2) in a piecewise continuous polynomial space and then generate a sequence of approximation solutions where converge to the unique solution of the nonlinear integral equation (1) under some conditions on k(t s u) as mentioned above.

Lastly, the system employs numerical methods that allow the use of the original sweep's calibration signal for recalibration of the buffered sweep.

Unfortunately, there is no analytical solution to the stable probability density function in Eq. 2, so it is necessary to employ numerical methods [ 19, 33- 36] to calculate likelihoods of stable models.

The employed numerical method in this paper is Standard Galerkin Finite Element Method.