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1 Approximating Integrals using Taylor Polynomials
www.math.caltech.edunumerical methods we can use to approximate integrals. Recall that the integral was de ned as the greatest lower bound of all the upper Riemann sums. Equiv-alently, we saw that it was the limit of the upper Riemann sums associated to the uniform partitions as n!1. Numerical integration tries to approximate the integral by a sum that resembles ...
6 Numerical Integration
www2.math.umd.edu6.1 Basic Concepts D. Levy For the purpose of the present discussion we can think of the upper and lower Dar-boux sums (6.1), (6.2), as two approximations of the integral (assuming that the …
Numerical Integration Formulas - 國立臺灣師範大學
berlin.csie.ntnu.edu.twNumerical Integration Formulas Berlin Chen Department of Computer Science & Information Engineering National Taiwan Normal University