Sentence examples for by solving a modified from inspiring English sources
A terminal penalty is suboptimally approximated by solving a modified discrete Lyapunov stability condition.
The coarse-scale solution is then obtained by solving a modified coarse formulation that takes into account the subgrid model.
Moreover, a robust H∞ control law is obtained by solving a modified Riccati-like equation in order to compensate the effect of the approximated error and external disturbance of the system.
A two-phase fractional-step projection method is developed to ensure mixture incompressibility by solving a modified Poisson equation for pressure, which in turn affects the particle motion through the pressure gradient.
The acoustic velocity perturbation, apart from one amplitude and one phase term, is common to the two cases, and is calculated in a second way, by solving a modified form of Mathieu's equation, with imaginary and hyperbolic, hence non-periodic, coefficients.
The method exploits the formulation of [11] which solves compressible fluid in a semi-implicit manner, solving for the advection part explicitly and then correcting the intermediate state to time tn+1 using an implicit pressure, obtained by solving a modified Poisson system.
Turbulence models seek to solve a modified set of transport equations by introducing averaged and fluctuating components.
Fukushima (1999) solved a modified Borkowski's quartic equation by the Newton method, and, later, Fukushima (2006) developed a new and faster iterative procedure using Halley's method.
Finally, we briefly compare the traditional and modified architectures by solving a couple of small Bayesian networks, and conclude with a statement of further research.
The proposed design consists of a symmetrical venturi tube comprising three pressure sensors and in which flow measurement is obtained by numerically solving a slightly modified version of the unsteady Bernoulli equation.
Numerical flume results were obtained by solving the modified Boussinessq-type wave equations (MBEs), and a new expression relating the friction coefficient α to the relative submerged depth Rt/Hs was also derived.
