Sentence examples for numerical formulation the from inspiring English sources

It is shown that in order to achieve spectral accuracy for the numerical formulation, the non-smoothness of the integral kernels, associated with the Helmholtz equation, must be carefully removed.

The mathematical formulation, the numerical implementation and other implementation details are presented herein.

Although the main focus of this article is on the mathematical formulation, the numerical simulations for a real case study for Iran are illustrated.

The present paper documents the modeling results that are, at least in part, the basis of interpretations in these later studies, and, in particular, the present paper documents the conceptual and numerical formulation of the model, and the rates of fluid discharge and the longevity of this source of pressurized water from our modeling results.

However, as increasingly complex processes are included in these models, the accuracy of the numerical formulation coupling the nonlinear processes becomes difficult to verify.

The displacement-based numerical formulation uses the principles of the Refined Plastic Hinge Method (RPHM) to simulate the concentrated plasticity at the corotational finite element nodal points.

The numerical formulation of the model is described in detail.

The proposed modelling method has also the capability to be used for modelling 3D problems given that the numerical formulation of the beam column flexibility-based finite element can be used to discretize any size or geometry of a 3D framing system.

The mathematical and numerical formulation of the model is briefly sketched.

This paper presents a numerical formulation of the composite structures using the Finite Element Method (FEM).

Numerical formulation of the described reactor is based on the 3-D discrete bubble model (DBM) presented in the previous works of Darmana et al., 2005, Darmana et al., 2007.