Sentence examples for computational equations from inspiring English sources

Computational equations for the dynamic condensation matrix are derived for each of definitions.

In contrast to deterministic signals that are rigidly periodic, stochastic signals are difficult to be modeled precisely by mathematical functions due to uncertainty in the parameters of the computational equations.

After the proper introduction of the assumptions for the single-mode and the response-dependent dynamic condensation, the same computational equation is obtained from the former three definitions.

Computational aeroacoustics equations are developed using a Janzen Rayleigh expansion of the compressible flow equations.

We compute the equations in the computational domain, which is projected onto the physical domain using metric terms (cf. Kageyama 2006), as shown in Figure 1.

A comparison of the two approaches brings forth a key feature of equation-free computation: computational experiments can be easily initialized at will, in contrast to laboratory ones.

Careful numerical investigations are carried out by solving the coupled computational fluid dynamic equations.

In this paper we develop a taxonomy of these ideas based on an adaptation of a generalized approximate factorization of the Navier Stokes system first presented in [A. Quarteroni, F. Saleri, A. Veneziani, Factorization methods for the numerical approximation of Navier Stokes equations, Computational Methods in Applied Mechanical Engineering 188 (2000) 505 526].

Thus, the total computational load of Equations 22 and 21 is O ( N + 1 ) M u + M u 2. In contrast, the time-domain CFO compensation scheme in[28] requires the inversion of an N × N block diagonal matrix with O M u 2 N + N 2 operations while the linear decorrelation-based frequency-domain CFO compensation scheme in[26] requires inversion of an N × N matrix with O N3) operations.

The impact of adaptive mesh-refinement in computational partial differential equations (PDEs) cannot be overestimated.

To reduce the computational expense, the equations are integrated over a representative coronal slice at the center of the 3-dimensional domain, from which voxels representing the skull and other non-brain tissue have been removed.