Sentence examples for by an approximation method from inspiring English sources

Our approach to the problem is by an approximation method and various estimates.

By an approximation method, we prove the existence of a minimizer of the relaxed energy of the Hessian energy, and that the minimizer is biharmonic and smooth outside a singular set Σ of finite (m−4 -dimensional Hausdorff m−4 -dimensional

By the use of an approximation method and fixed point theorems on cone, some existence and multiplicity results of positive solutions are acquired.

On the positive side, we obtain a criterion for Riemann integrability of quasi-Banach valued maps based on an approximation method by polynomial functions.

This is an approximation method developed by the Applied Technology Council (1985).

The interfacial defect density (D it ) is determined using an approximation method given by W. A. Hill and C. C. Coleman [16].

The initial distribution of vortices is constructed from the initial vorticity field by an adaptive approximation method which produces good accuracy even for discontinuous initial data.

After designing a new mesh, field variables are transferred by a diffuse approximation method.

Using the transmittance data other optical quantities were obtained by a numerical approximation method.

De-saturation and re-saturation of fractures is handled by a new approximation method.

The problem is reduced to a non-linear integro-differential equation for the fluid particle displacement at the lined wall surface, which can be solved by a successive approximation method.