Sentence examples for used to construct second-order from inspiring English sources

Exact and approximate block-factorization techniques were used to construct second-order splitting methods.

An orthogonal Central Composite Design of experiments was used to construct second-order response surfaces with the fungus growth, final pH and the lindane biodegradation as optimization parameters.

Thus, an orthogonal central composite design (CCD) of experiments was used to construct second order response surfaces.

The Box Behnken design of experiments was used to construct second order response surfaces with the investigated parameters.

The method of multiples scales is used to construct first-order non-linear ordinary differential equations governing the modulation of the amplitudes and phases.

As a natural extension of the recent publications in MSD, we provide in this paper a detailed account of the methods that can be readily used by mechanical designers to construct first-order elastic plastic property closures.

The method of multiple scales is used to construct a first-order uniform expansion yielding four first-order non-linear ordinary differential (averaged) equations governing the modulation of the amplitudes and the phases of the two modes.

The method of multiple scales is used to construct a first order uniform expansion yielding four first order non-linear ordinary differential equations governing the modulation of the amplitudes and the phases of the two modes.

We show rigorously that, under suitable assumptions on the nonlinearity, these methods are of second order and can then be used to construct higher order methods by composition.

In [1] and [2], the second order matching operator is used to construct and justify the second order composite grid method for solving Laplace's boundary value problems.

Second, the high-fidelity simulation result is used to construct a reduced-order model for the design of a Luenberger observer for state estimation.