Sentence examples for the basis method from inspiring English sources

The optimal compromise plan proposed by Meeker was widely used in engineering and became the "benchmark" for most of the subsequent improved plans, and the method of comparing and selecting the ALT plan with a combined consideration of robustness and estimation accuracy became the basis method followed by almost all studies of designing optimal ALT plans.

After a brief historical excursus, we present in Section 2 the state of the art of the reduced basis method, presenting the essential components of this approach.

We discuss the application of the reduced basis method for the simulation and control of unsteady viscous flows governed by the incompressible Navier-Stokes equations.

The technique is based on the combination of the reduced basis method [C.

The bifurcation points are correctly captured with the reduced basis method looking at the intersection of branches of solutions or regarding the eigenvalues of the linear stability analysis.

These bifurcation points are correctly captured with the reduced basis method by plotting the solutions in the bifurcation diagram in Fig. 4.

The essential components of the reduced basis method, which will be analyzed in detail along the next sections, can be summarized as below.

In Sections 4 and 5 we present the essential components of the reduced basis method: RB Galerkin projection and optimality; greedy sampling procedures; an Offline-Online computational stratagem.

The multilevel basis method can be applied with the variational formulation to obtain the approximate solutions of nonlinear problem.

The reduced basis method permits one to obtain the bifurcation diagrams with much lower computational cost.

Both approaches are based on the reduced basis method and low-rank factorizations of the generating matrices.