Sentence examples for physical formulations from inspiring English sources

For the applications, physical formulations, numerical methods and other aspects of variational inequalities (see [1 52] and the references therein).

Equation (1.2) is called a coincidence point equation and plays a very important role in many physical formulations.

For the applications on physical formulations, numerical methods and other aspects of variational inequalities, see [1 52] and the references therein.

In fact, it has been found that more general physical formulations may be obtained by including new parameters and forces in the equation itself.

For the recent applications, sensitivity analysis, dynamical systems, numerical methods, and physical formulations of the variational inequalities, see [1 24] and the references therein.

We present a family of physical formulations, and a numerical algorithm, based on a class of general order parameters for simulating the motion of a mixture of N (N⩾2) immiscible incompressible fluids with given densities, dynamic viscosities, and pairwise surface tensions.

EDWIN HUBBLE was the first astronomer to describe the expansion of the universe, in a physical formulation made in 1929 that now bears his name.

For recent applications, numerical techniques, and physical formulation, see [1 50].

The analytical model, originally developed for walls and based on a simple physical formulation, is adapted.

The algorithm employs a physical formulation for the N-phase system that honors the conservations of mass and momentum and the second law of thermodynamics.

Fixed point iterative schemes are designed to be applied in solving equations arising in physical formulation but there is no systematic study of the numerical aspects of these iterative schemes.