Sentence examples for using a polynomial expansion from inspiring English sources

A predictive model using a polynomial expansion of the relevant welding parameters, i.e. welding current (WC), welding time (WT) and electrode force (EF) and elastic net regularization is proposed.

The random response is constructed using a polynomial chaos expansion (PCE).

We employ an uncertainty quantification (UQ) framework that combines an integral model and a computational fluid-dynamics (CFD) model and propagate the uncertainty in the inputs using a polynomial chaos expansion method.

The Burgers' equation with uncertain initial and boundary conditions is investigated using a polynomial chaos (PC) expansion approach where the solution is represented as a truncated series of stochastic, orthogonal polynomials.

There, the authors considered a finite network of coupled oscillators and used a polynomial chaos expansion of the same form as Equation 12.

The existence of periodic solutions after potential Hopf bifurcation points has been verified by transforming the unsteady-state IEM model into an infinite system of ordinary differential equations using a Laguerre polynomial expansion, and solving for a truncated set of expansion coefficients.

The form of the scattering operator (11) allows us to solve the focused transport equation using a Legendre polynomial expansion of the distribution function f.

Technically, using a truncated polynomial expansion to approximate a generalized function such as a Dirac delta is a far from perfect approximation.

Such a smooth Gaussian approximation allows us to use a truncated polynomial expansion to accurately approximate the density after the splitting event.

The concentration profiles are constructed using the moment expressions in a polynomial expansion.

A polynomial expansion scheme is used to solve Boltzmann neutron transport equation in the case of strongly anisotropic neutral particles forward backward scattering.