Sentence examples for solution defined by from inspiring English sources

The discrete solution, defined by a Finite Element space based on triangular Lagrangian Pk elements, is globally continuous.

Let be a regularized solution defined by (2.4), with data.

Homogeneous problem (4.19), (4.23) has a nontrivial solution defined by (4.22).

By a direct computation, it follows that the solution defined by (2.2) satisfies (2.1).

First we prove that every solution defined by a monotone initial function is asymptotically convergent.

Then, we show that the regularized solutions converge to x0 ∈ S0, the -minimal norm solution defined by.

More in detail, a first-level DN optimization problem taking into account the definition and evaluation of the distribution chain performance provides a set of Pareto optimal solutions defined by digraph modeling.

Fig. 11 Plots of the errors of the waveform inversion solutions defined by Eq. (8).

The convergence rates of the regularized solutions defined by (6) are considered by Buong and Thuy [8].

Let (X^{text{ou}}=(Q^{mathrm{ou}},P^{mathrm{ou}})) and (X^{mathrm{w}}=(Q^{mathrm{w}},P^{mathrm{w}})) denote the numerical solutions defined by Eq. (19) and Eq. (23), respectively.

Let (0< t_{0}dots< t_{N}=T) be an equidistant partition of ([0,T]) with step-size (Delta t<1/(2varGammaGamma Vert _{L^{infty}})) and let (X^{mathrm{w}}) denote the numerical solutions defined by Eq. (23).