Lecture
Numerical Integration Algorithms
Description
This lecture covers numerical integration algorithms, including simple sum, quadrature with interpolation functions, midpoint rule, trapezoidal rule, Simpson's rule, Gaussian quadrature, and Monte Carlo integration. It also discusses the numerical evaluation of configurational space integrals using numerical quadrature and Monte Carlo sampling, as well as the derivation of the Maxwell-Boltzmann Distribution and importance sampling in ensemble averages. The Metropolis algorithm for generating new configurations in a system is also explained.
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