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Improved FFT approximations of probability functions based on modified quadrature rules

Improved FFT approximations of probability functions based on modified quadrature rules

In the last ten years, the traditional Simpson quadrature rule for numerical integration has been improved to an optimal 3-point quadrature formula and a modified Simpson rule that takes additionally the first derivative of the approximated integrand at the two end-points of integration into account. The impact of the improved …