Suboptimality of Gauss–Hermite Quadrature and Optimality of the Trapezoidal Rule for Functions with Finite Smoothness
Yoshihito Kazashi, Yuya Suzuki, Takashi Goda
Abstract
Publisher Copyright: © 2023 Society for Industrial and Applied Mathematics.
Topics & Concepts
MathematicsGaussian quadratureGauss–Jacobi quadratureClenshaw–Curtis quadratureGauss–Hermite quadratureGauss–Kronrod quadrature formulaTanh-sinh quadratureHermite polynomialsQuadrature (astronomy)Upper and lower boundsMathematical analysisGauss–Laguerre quadratureNumerical integrationLogarithmApplied mathematicsIntegral equationNyström methodElectrical engineeringEngineeringMathematical Approximation and IntegrationMathematical functions and polynomialsAdvanced Numerical Methods in Computational Mathematics