Sentence examples for method and numerically from inspiring English sources

The vibration and radiated sound characteristics of a five-storey concrete structure obtained experimentally through an excitation test using the hammering method and numerically through wave-based numerical calculations are presented and compared.

Good matches between forecast rates calculated using this novel method and numerically simulated rates/field rates were obtained.

The transition curves, which separate the stable and unstable dynamics are derived, both analytically using harmonic balance method, and numerically using time simulations.

We have studied elastic fields of such composites both experimentally, using a photoelasticity method, and numerically via a finite element method.

For simplicity, we consider the implicit Euler method since is the starting point for most high order methods and numerically stable.

We compare our methods theoretically and numerically with the Roll method as well as with its best known competitor, the Hasbrouck (2004) method, which uses a Bayesian Gibbs methodology under a Gaussian assumption.

The paper first presents the theoretical developments based on the Virtual Fields Method and then, numerically simulated data are processed to validate the identification algorithm.

We analyze the local order of convergence and the regions of accessibility of the new method comparing it with Newton's method, both theoretical and numerically.

Simulation results show that the proposed method outperformed conventional methods both visually and numerically.

For estimating stochastic characteristics of the properties induced by the variations in these defects, a probabilistic extension of the dual homogenization method is developed and numerically implemented through a perturbation-based stochastic finite element method.

The derived equations of motion obtained from the proposed method are analytically and numerically compared to equations from the previous modeling methods.