Sentence examples for based upon solution from inspiring English sources

The numerical models are based upon solution of Poisson's equation and the current-continuity equations.

An analytical model based upon solution of Maxwell equations was developed to estimate the attracting forces for low frequency discharges.

As a Boundary Perturbation Method it builds highly accurate solutions based upon exact solutions in a simple, canonical, geometry and corrects these via Taylor series to fit the actual geometry at hand.

All of this, based upon the solution of inequalities in health and the attention of poorest and needy persons.

The analytical model based upon the solution of Maxwell equations explains that magnetic forces are prevailing over the Lorentz forces for low frequency discharges.

Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest.

Aside from the interface interaction calculation within mixed cells, each material is treated independently and the governing constitutive laws solved using a conservative finite volume discretisation based upon the solution of Riemann problems to determine the numerical fluxes.

Calculations were based upon the solution of the three-dimensional fluid-flow equations supplemented with a Reynolds stress and scalar flux second-moment closure, and the chemistry applied to represent mean production rates of species was a 16-step reduced mechanism.

Since coating on the base and bridging projections were not accounted for in calculations, where these amounts are significant, it would result in an overestimate of delivered amount as the theoretical calculations were only based upon coating solution on the projections.

Computer simulation was based upon numerical solution to Equation 3 using Euler's method (Grossman 1986): Details of the estimation/simulation of the exposure rates are given below.

Semi-algebraic refers to formulations based upon explicit solutions of associated model governing equations.