
doi: 10.1007/bf01955875
Optimal stochastic (Monte Carlo) quadrature formulas for defined classes of convex functions are studied. Specifically, non-adaptive Monte Carlo methods are seen to be no better than deterministic methods, but adaptive Monte Carlo methods are shown to exhibit a superior performance.
convex functions, Monte Carlo methods, adaptive quadrature, Numerical quadrature and cubature formulas, performance, Approximate quadratures, optimal stochastic quadrature formulas
convex functions, Monte Carlo methods, adaptive quadrature, Numerical quadrature and cubature formulas, performance, Approximate quadratures, optimal stochastic quadrature formulas
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