Sentence examples for solution for the modelling from inspiring English sources

For the (n+4) vector of excursion values H (extended by four zeros to include the 'polynomial' RBF part), we begin by solving for the (n+4) vector set of RBF coefficients ψ, which is the vector solution for the modelling equation H = Φ ψ.

The numerical solution for the model is solved by ADINA.

A new semi-analytical solution for the model is obtained by the Laplace transform in conjunction with separation of variables.

The first is the possible existence of local minima of the cost function, which prevents convergence of the optimization to the global minimum representing the desired optimal solution for the model inputs.

The existence and uniqueness of the weak solution for the model problem is achieved via a variational approach.

Numerical experiments show that the proposed approach can find a high quality near-optimal solution for the model in a reasonable computational time.

In addition, a simplified solution for the model was deducted, which reduces strongly the computational cost and can be implemented in reactor models.

An eigenfunction expansion solution for the model reactor closely parallels the full numerical solutions in the round-bottom flask reactor, thus confirming the validity of the simplified model reactor.

The objective function was the shortest path of ARN in this model, and the cellular automata (CA) model with fixed boundary and the neighbors of Moore was used to find solution for the model.

Owing to the simplicity of the system, we obtain the full analytical solution for the model which we use to derive a lower dimensional return map that captures the complete dynamics of the system.

Figure 4 Accuracy of the ultra-relativistic hot jets solution for the model with atmospheres with (pmb{kappa=2}).