numerical integration


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numerical integration

[nü′mer·i·kəl ‚int·ə′grā·shən]
(mathematics)
The process of using a set of approximate values of a function to calculate its integral to comparable accuracy.
References in periodicals archive ?
Theoretically, errors introduced by the numerical integration process of a time series of data increase with time and noise-to-signal ratio; for this reason, the influence of number of repetitions and angular velocities on the estimated ROM was assessed using an analysis of variance for repeated measurements (within = repetitions, between = angular velocities).
h] ~ 2 in space and numerical integration, which is in agreement with Theorem 3.
A specific problem, outlined below, has been solved using the numerical integration of the last equation beside the direct use of the closed-form solution.
A new method is developed based on Harmony Search algorithm combined with Chaos theory to solve numerical integration.
Moreover, the dimension of numerical integration can be reduced by using the following identities:
Nevertheless, Simpson's 1/3 numerical integration with hourly discretization was taken as reference based on the analysis of monthly degrees-day by the Scott-Knott test with 1% of probability.
The DFT-based pseudospectral method (PSM) [6,14,24,25] is applied in numerical integration in the present paper.
The numerical integration of answers in speed was effectuated, determining the vibration displacement of the instalation mass.
6] Zhongshe Gao, The method of numerical integration with supported spline-wavelets, Journal of Xuzhou Normal University(science), 23(2005), No.
It includes a comprehensive data sheet that performs data transformation, data interpolation and curve fitting, numerical integration and differentiation, experimental model development, FFT and digital signal processing, matrix manipulation, calculation of eigen-system, and commonly used statistical analysis.
As reported in Mickens (1994), for arbitrary values of the system parameters at a particular time, only numerical integration techniques can provide accurate numerical solutions to the original differential equations.
For numerical integration of the HKdV equation the pseudospectral method (PsM) [6;7] is applied.

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