Sentence examples for numerical chain from inspiring English sources

To predict this field, a numerical chain is then applied involving the simulation of the injection process and finite elements analysis using an anisotropic elasto-viscoplastic model.

In this context, a new numerical chain based on a new design for Additive Manufacturing (DFAM) methodology is proposed in this paper, the new DFAM methodology being detailed; both design requirements and manufacturing specificities are taken into account.

Mathematically, the iterative gradient descent formulation for updating each specific weight w ij (l) can be expressed as the following equation where η is the learning rate and ∂E/∂w ij(l ) can be effectively calculated through a numerical chain rule by back-propagating the error signal from the output layer to the input layer.

In order to illustrate the modeling framework and the algorithm, we also provide solutions to a spectrum of numerical supply chain network oligopoly design examples.

Second, a numerical simulation chain incorporating a structural weld simulation, numerical analysis of the HFMI-treatment, and a final cyclic loading step for the investigated mild steel specimen is set-up.

The numerical Markov chain Monte Carlo (MCMC) method of this procedure was chosen because the missing data pattern was not monotonic.

In this paper, we describe two components of large aeronautic numerical simulation chains that are extremely consuming of computer resource.

Topics include probabilistic modeling of data, parameter constraints and model comparison, numerical methods including Markov Chain Monte Carlo, and connections to frequentist and machine learning frameworks.

We solve impact and Riemann problems in the chain by numerical integration of the equations of motion and show that the solutions are analogous to those in a phase transforming rod whose stored energy function depends on both twist and stretch.

As a numerical illustration, a supply chain with four echelons, namely supplier, plant, distribution center, and customer zone, is considered.

We propose a fully flexible Bayesian approach allowing nonparametric modeling of the random effects distribution using a Dirichlet process prior and provide estimation of both fixed effect and random effects parameters using a Markov chain Monte Carlo numerical integration scheme.