Sentence examples for use approximate methods of from inspiring English sources

Current techniques for the rating of horizontally curved composite steel girder bridges often use approximate methods of linear elastic analysis based on the assessment of individual straight girders with altered properties to account for member curvature.

Approximate principal resonance solutions are first obtained using a two-term harmonic balance and then a consistent second order stability analysis of the associated linearized variational equation is carried out using approximate methods to predict zones of symmetry breaking leading to period-doubling bifurcation and chaos.

Then a consistent second order stability analysis of the associated linearized variational equation is carried out using approximate methods to predict the zones of symmetry breaking leading to period-doubling bifurcation and chaos on the resonance response curves.

Thus, applications have used approximate methods in the neighborhood of the maximum likelihood estimator (e.g. Denlinger et al. 2012), Markov-chain Monte Carlo sampling (e.g. Mosegaard and Tarantola 1995; Anderson and Segall 2013), or the construction of fast surrogate models (e.g. Craig et al. 2001; Bursik et al. 2012; Madankan et al. 2014) to estimate the posterior distribution of model inputs.

The alternative of using approximate methods also for collisional stellar dynamics is so far untested.

In our approach, the accuracy is balanced with time efficiency by the mean of iterative scheme using approximate methods.

The simulations of multibody dynamic systems with flexible components are generally based on solving the equations of motion by using approximate methods.

To give a practical example, using the approximate methods of the U.S. Army Corps of Engineers, U.S. Bureau of Reclamation, and U.S. Federal Energy Regulatory Commission regulations for gravity dams, the stability control and safety factors are calculated in all three.

Most applications of GLMMs use approximate likelihood methods to estimate model parameters.

Using the approximate method of the continuous approach, the ratio ( {{bar{omega }_{f}^{2} } mathord{left/ {vphantom {{bar{omega }_{f}^{2} } {bar{omega }_{w}^{2} }}} right.

Although computationally more expensive than methods that use approximate likelihoods, the relative efficiency of our method is expected to be optimal in theory.