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Numerical integration of locally peaked bivariate functions
International Journal of Statistics and Applied Mathematics · 2022 · Vol. 7(3) · pp. 43–48
Abdelhamid Zaïdi✉(Qassim University)Mishael Mohammed S Alharbi(Qassim University)
Abstract
The aim of this paper is to compare the relative accuracies between deterministic and stochastic methods for solving bounded integrals numerically to observe which methods tend to function well and converge to a small amount of error based on computational resources. For the deterministic method, the Gauss-Legendre quadrature method has been selected and for the stochastic method, the Monte Carlo integration has been selected. For each case, the number of variables will be adjusted to observe the effect on error.
Mathematical functions and polynomialsMathematical Approximation and IntegrationScientific Research and DiscoveriesNumerical integrationBivariate analysisGaussian quadratureQuadrature (astronomy)Applied mathematicsMathematicsBounded functionMonte Carlo methodMonte Carlo integrationQuasi-Monte Carlo method
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