Sentence examples for formulation and apply from inspiring English sources
We express the entire problem in weak form in order to derive the adjoint formulation and apply goal-oriented adaptivity.
The goal is to express the inference problem in state-space formulation and apply stochastic filtering tools learned from signal processing.
We solve the elastodynamic equations written in the velocity-strain formulation and apply an upwind flux adapted to heterogeneous media with nonlinear constitutive behavior coupling stress and strain.
We begin with a generalized tensor version of the Von Neumann Richtmyer artificial viscosity, then convert it to a variational formulation and apply a Galerkin discretization process using high order Gaussian quadrature to obtain a generalized nodal force term and corresponding zonal heating (or shock entropy) term.
Chi-Med created its own formulation and applied for U.S. patents in 2005.
This method uses an Eulerian formulation and applies directly to arbitrary number of space dimensions.
The approach is based on a boundary integral formulation and applies more generally, even to problems beyond the fluid mechanical context.
A generalized time-domain method for soil structure interaction analysis is developed, based upon an extension of the work of the domain reduction method of Bielak et al. The methodology is combined with the use of a simple hysteretic soil model based upon the Ramberg Osgood formulation and applied to a notional Small Modular Reactor.
Simulations were performed using the Cold Regions Hydrological Model (CRHM), where point-scale snowmelt computations were made using a snowpack energy balance formulation and applied to spatial frequency distributions of snow water equivalent (SWE) on individual slope-, andect-, and landcover-based hydrological response units (HRUs) in the basin.
Therefore, these vesicular systems can be incorporated into the gel formulation and applied onto the skin.
We offer heuristics for addressing issues that arise in this formulation, and we apply the approach to a CFD-based airfoil shape optimization problem.
