Sentence examples for operator formulations from inspiring English sources

Three various derivations of approximate discrete Laplace operator formulations are produced using the Taylor series expansion and renormalised least-squares correction of the first spatial derivatives.

This results in larger computational times than for the Steklov-Poincaré operator formulations.

Due to these significant drawbacks of the single layer potential ansatz, we will consider the Steklov-Poincaré operator formulations only.

We use the concept of operators of opposite order [19] for the preconditioning of the Steklov-Poincaré operator formulations (17) and (18).

The two remaining Steklov-Poincaré operator formulations are compared for the computation of the electric potential of the IEC surge arrester [[24], Annex L] shown in Figure 1.

We apply the artificial multilevel preconditioning [20, 21] for the inner inversion of the Galerkin matrix of the single layer boundary integral operator in the Steklov-Poincaré operator formulations.

An operator formulation of the problem of heat transfer between an axially dispersed fluid and a bed of particles is provided.

This controller consists in the combination of a performance-oriented linear quadratic control design method and a robust parameter estimator within the delta operator formulation.

Combined with the recently developed adaptively compressed exchange operator formulation (ACE) to reduce the frequency of which the exchange operator needs to be applied, the resulting ACE-ISDF method significantly reduces the computational cost of large scale hybrid functional calculations by nearly two orders of magnitude.

Here we extend that framework to general locally resonant 1D and 2D metastructures (i.e. locally resonant metamaterial-based finite structures) with specified boundary conditions using a general operator formulation.

(10) From (7) we know that an equivalent operator formulation of (8) is Tpsi=lambda^{-1}psi.