Sentence examples for by numerical integration based from inspiring English sources
The gas holdup (void fraction) data at specific axial position (H/D = 1.7) were averaged over the cross section by numerical integration based on the trapezoidal rule bar{varepsilon } = frac{2}{R}int_{0}^{R} {varepsilon (r){text{d}}r}.
Based on this domain independence property, a numerical integration based scheme accompanied by a modification of the domain, is proposed.
All numerical results are calculated by a finite element model with selective reduced numerical integration based on the first-order shear deformation theory.
The random dynamic response obtained by applying this procedure is compared with that evaluated through numerical integration based on the Harmonic Balance Method and the Monte Carlo simulations.
We also present numerical integration based on sinc functions that has been mentioned by Stenger [7] and compared block-pulse and Chebyshev wavelet results by sinc method results.
The paper is organized as follows: In section 'Numerical integration using Chebyshev wavelets,' we briefly review the concept and some properties of the block-pulse functions and proposed method of numerical integration based on block-pulse functions.
The trajectory prediction is realized by numerical integration and the corrector is based on fuzzy logic.
Reliabilities of the two designs are quantitatively compared by numerical integration of the Markov diagrams based on realistic failure rate data; system degradation probabilities are obtained as well as the complete steering loss probability.
Analytical solutions for the decomposed network matched well with the solutions found by numerical integration (simulation).
The corresponding prediction intervals were found by numerical integration of tail probabilities of the relevant Poisson distribution.
